Quizbank/University Physics Semester 2/All

University Physics Semester 2 ALL/ALL ID153489923028

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Exams:  A0  A1  A2   B0  B1  B2  

Answers:   A0  A1  A2   B0  B1  B2  

6 Tests = 3 versions x 2 variations: Each of the 2 variations (A, B, ...) represents a different random selection of questions taken from the study guide.The 3 versions (0,1,..) all have the same questions but in different order and with different numerical inputs. Unless all students take version "0" it is best to reserve it for the instructor because the questions are grouped according to the order in which they appear on the study guide.

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ALL A0

1)

Three small charged objects are placed as shown, where $b=2a$, and $a=2\times 10^{-7}{\text{m}}$. What is the magnitude of the net force on $q_{2}$ if $q_{1}=1e$, $q_{2}=-8e$, and $q_{3}=2e$?

a) 3.876E-14 N

b) 4.263E-14 N

c) 4.690E-14 N

d) 5.159E-14 N

e) 5.675E-14 N

2)

Three small charged objects are placed as shown, where $b=2a$, and $a=6\times 10^{-7}{\text{m}}$.what angle does the force on $q_{2}$ make above the $-x$ axis if $q_{1}=2e$, $q_{2}=-9e$, and $q_{3}=4e$?

a) 4.766E+01 degrees

b) 5.243E+01 degrees

c) 5.767E+01 degrees

d) 6.343E+01 degrees

e) 6.978E+01 degrees

3)

 $E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx$
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.8 m. Evaluate $f(x,y)$ at x=1.0 m if a=1.0 m, b=1.8 m. The total charge on the rod is 6 nC.

a) 3.610E+00 V/m²

b) 3.971E+00 V/m²

c) 4.368E+00 V/m²

d) 4.804E+00 V/m²

e) 5.285E+00 V/m²

4)

A ring is uniformly charged with a net charge of 9 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=1.4 m (on axis) away from the loop's center?

a) 7.119E+09 N/C²

b) 7.831E+09 N/C²

c) 8.614E+09 N/C²

d) 9.476E+09 N/C²

e) 1.042E+10 N/C²

5)  $E(z)=\int _{0}^{R}f(r',z)dr'$
is an integral that calculates the magnitude of the electric field at a distance $z$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is $R=6.9{\text{ m}}$ and the surface charge density is $\sigma =9{\text{ nC/m}}^{3}$. Evaluate $f(r',z)$ at $r'=4.3{\text{ m}}$.

a) 8.924E-01 V/m²

b) 9.816E-01 V/m²

c) 1.080E+00 V/m²

d) 1.188E+00 V/m²

e) 1.307E+00 V/m²

6) A large thin isolated square plate has an area of 6 m². It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

a) 7.000E+01 N/C

b) 7.701E+01 N/C

c) 8.471E+01 N/C

d) 9.318E+01 N/C

e) 1.025E+02 N/C

7) What is the magnitude of the electric field at the origin if a 2.1 nC charge is placed at x = 7 m, and a 2.1 nC charge is placed at y = 8.6 m?

a) 3 x 10^-1N/C

b) 3.47 x 10^-1N/C

c) 4 x 10^-1N/C

d) 4.62 x 10^-1N/C

e) 5.34 x 10^-1N/C

8) What angle does the electric field at the origin make with the x-axis if a 2.9 nC charge is placed at x = -6.3 m, and a 2.1 nC charge is placed at y = -8.8 m?

a) 1.32 x 10¹degrees

b) 1.53 x 10¹degrees

c) 1.76 x 10¹degrees

d) 2.04 x 10¹degrees

e) 2.35 x 10¹degrees

9) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =( 4a, 3a) is βkQ/a², where β equals

a) 3.38 x 10^-3 unit

b) 4.1 x 10^-3 unit

c) 4.96 x 10^-3 unit

d) 6.01 x 10^-3 unit

e) 7.28 x 10^-3 unit

10) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =( 1.1a, 1.2a) is βkQ/a², where β equals

a) 2.86 x 10^-1 unit

b) 3.47 x 10^-1 unit

c) 4.2 x 10^-1 unit

d) 5.09 x 10^-1 unit

e) 6.17 x 10^-1 unit

11) A line of charge density λ situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {B}}=$

a) 3

b) −3

c) −3

d) −7

e) 2

12) A line of charge density λ situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {C}}=$:

a) 5−s

b) 5

c) 1−s

d) s−1

e) s−4

13) A line of charge density λ situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {F}}=$:

a) 1/2

b) 2

c) 2/3

d) 3

e) 3/2

14) A line of charge density λ situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {C}}=$:

a) s−3

b) s−7

c) 3−s

d) 8

e) 7−s

15) A line of charge density λ situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {D}}^{2}+{\mathcal {E}}^{2}=$:

a) 7² + 8²

b) (7-s)² + 8²

c) 7² + (3−s)²

d) 3² + 8²

e) 7² + (8−s)²

16) A line of charge density λ situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {C}}=$

a) 3

b) 7−s

c) 3−s

d) s−3

e) s−7

17) A line of charge density λ situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where${\mathcal {F}}=$

a) 3

b) 3/2

c) 2

d) 1/2

18) A line of charge density λ situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {C}}=$:

a) s − 2

b) s − 9

c) 9 − s

d) 2

e) 2 − s

19) A line of charge density λ situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {D}}^{2}+{\mathcal {E}}^{2}=$:

a) 2² + (7-s)²

b) 9² + (7-s)²

c) 7² + (2-s)²

d) 2² + (9-s)²

e) 9² + (2-s)²

20) A line of charge density λ situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {A}}=$:

a) 4

b) 2

c) 8

d) 1/2

21) A line of charge density λ situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {C}}=$:

a) s−4

b) 4−s

c) 4

d) s−8

e) 8−s

22) A line of charge density λ situated on the x axis extends from x = 4 to x = 8. What is the x component of the electric field at the point (8, 4)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {C}}=$:

a) s−8

b) 4

c) 8−s

d) s−4

e) 4−s

23) A line of charge density λ situated on the y axis extends from y = 4 to y = 6. What is the x component of the electric field at the point (5, 1)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {C}}=$:

a) s−1

b) s−4

c) 5−s

d) 1−s

e) 5

24)

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.3 m. The other four surfaces are rectangles in y=y₀=1.2 m, y=y₁=5.5 m, z=z₀=1.7 m, and z=z₁=5.1 m. The surfaces in the yz plane each have area 15.0m². Those in the xy plane have area 9.9m² ,and those in the zx plane have area 7.8m². An electric field of magnitude 6 N/C has components in the y and z directions and is directed at 58° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

a) 1.698E+01 N·m²/C

b) 1.868E+01 N·m²/C

c) 2.055E+01 N·m²/C

d) 2.260E+01 N·m²/C

e) 2.486E+01 N·m²/C

25)

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.4 m. The other four surfaces are rectangles in y=y₀=1.3 m, y=y₁=5.7 m, z=z₀=1.9 m, and z=z₁=5.4 m. The surfaces in the yz plane each have area 15.0m². Those in the xy plane have area 11.0m² ,and those in the zx plane have area 8.4m². An electric field of magnitude 8 N/C has components in the y and z directions and is directed at 26° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

a) 2.012E+01 N·m²/C

b) 2.213E+01 N·m²/C

c) 2.435E+01 N·m²/C

d) 2.678E+01 N·m²/C

e) 2.946E+01 N·m²/C

26)

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.0 m. The other four surfaces are rectangles in y=y₀=1.4 m, y=y₁=4.7 m, z=z₀=1.2 m, and z=z₁=4.1 m. The surfaces in the yz plane each have area 9.6m². Those in the xy plane have area 6.6m² ,and those in the zx plane have area 5.8m². An electric field has the xyz components (0, 8.4, 5.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

a) 3.328E+01 N·m²/C

b) 3.660E+01 N·m²/C

c) 4.026E+01 N·m²/C

d) 4.429E+01 N·m²/C

e) 4.872E+01 N·m²/C

27) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=4, y=0), (x=0, y=9), and (x=4, y=9), where x and y are measured in meters. The electric field is,
${\vec {E}}=1y^{2.2}{\hat {i}}+1x^{3.3}{\hat {j}}+5y^{2.4}{\hat {k}}$

a) 7.054E+03 V·m

b) 7.759E+03 V·m

c) 8.535E+03 V·m

d) 9.388E+03 V·m

e) 1.033E+04 V·m

28) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 7.4 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.4 m from the center of the shells?

a) 8.580E+00 N/C

b) 9.438E+00 N/C

c) 1.038E+01 N/C

d) 1.142E+01 N/C

e) 1.256E+01 N/C

29) A non-conducting sphere of radius R=1.2 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.6 (r≤R) where a=2 nC·m^-1.4. What is the magnitude of the electric field at a distance of 0.76 m from the center?

a) 2.406E+01 N/C

b) 2.646E+01 N/C

c) 2.911E+01 N/C

d) 3.202E+01 N/C

e) 3.522E+01 N/C

30) A cylinder of radius, r=3, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as,
 ${\vec {\mathfrak {F}}}=(2.28+1.72z)\rho ^{3}{\hat {\rho }}+7.33z^{3}{\hat {z}}$
Let ${\hat {n}}$ be the outward unit normal to this cylinder and evaluate ,
 $\left|\int _{top}{\vec {\mathfrak {F}}}\cdot {\hat {n}}dA\right|\,$
over the top surface of the cylinder.

a) 2.597E+03

b) 3.147E+03

c) 3.812E+03

d) 4.619E+03

e) 5.596E+03

31) A cylinder of radius, r=2, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as,
 ${\vec {\mathfrak {F}}}=(2.45+2.26z)\rho ^{2}{\hat {\rho }}+8.92z^{3}{\hat {z}}$
Let ${\hat {n}}$ be the outward unit normal to this cylinder and evaluate ,
 $\left|\int _{side}{\vec {\mathfrak {F}}}\cdot {\hat {n}}dA\right|\,$
over the curved side surface of the cylinder.

a) 3.356E+02

b) 4.066E+02

c) 4.926E+02

d) 5.968E+02

e) 7.230E+02

32) A cylinder of radius, r=2, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as,
 ${\vec {\mathfrak {F}}}=(2.05+2.05z)\rho ^{2}{\hat {\rho }}+9.62z^{3}{\hat {z}}$
Let ${\hat {n}}$ be the outward unit normal to this cylinder and evaluate ,
 $\left|\oint {\vec {\mathfrak {F}}}\cdot {\hat {n}}dA\right|\,$
over the entire surface of the cylinder.

a) 1.09E+03

b) 1.32E+03

c) 1.60E+03

d) 1.94E+03

e) 2.35E+03

33) A cylinder of radius, R, and height H has a uniform charge density of $\rho$. The height is much less than the radius: H << R. The electric field at the center vanishes. What formula describes the electric field at a distance, z, on axis from the center if z > H/2?

a) none of these are correct

b) $\varepsilon _{0}E=H\rho /2$

c) $\varepsilon _{0}E=H\rho z$

d) $\varepsilon _{0}E=H\rho$

e) $\varepsilon _{0}E=\rho z$

34) A cylinder of radius, R, and height H has a uniform charge density of $\rho$. The height is much less than the radius: H << R. The electric field at the center vanishes. What formula describes the electric field at a distance, z, on axis from the center if z < H/2?

a) $\varepsilon _{0}E=\rho z$

b) $\varepsilon _{0}E=H\rho /2$

c) $\varepsilon _{0}E=H\rho$

d) none of these are correct

e) $\varepsilon _{0}E=H\rho z$

35) A sphere has a uniform charge density of $\rho$, and a radius or R. What formula describes the electric field at a distance r > R?

a) $r^{2}\varepsilon _{0}E=r^{3}\rho /3$

b) $r^{2}\varepsilon _{0}E=r^{3}\rho /2$

c) none of these are correct

d) $r^{2}\varepsilon _{0}E=R^{3}\rho /2$

e) $r^{2}\varepsilon _{0}E=R^{3}\rho /3$

36) A sphere has a uniform charge density of $\rho$, and a radius equal to R. What formula describes the electric field at a distance r < R?

a) $r^{2}\varepsilon _{0}E=R^{3}\rho /2$

b) $r^{2}\varepsilon _{0}E=R^{3}\rho /3$

c) $r^{2}\varepsilon _{0}E=r^{3}\rho /3$

d) none of these are correct

e) $r^{2}\varepsilon _{0}E=r^{3}\rho /2$

37) A cylinder of radius, R, and height H has a uniform charge density of $\rho$. The height is much greater than the radius: H >> R. The electric field at the center vanishes. What formula describes the electric field at a distance, r, radially from the center if r < R?

a) $2\varepsilon _{0}E=r\rho$

b) $2r\varepsilon _{0}E=R^{2}\rho$

c) $2R\varepsilon _{0}E=r^{2}\rho$

d) none of these are correct

e) $2r^{2}\varepsilon _{0}E=R^{3}\rho$

38) A cylinder of radius, R, and height H has a uniform charge density of $\rho$. The height is much greater than the radius: H >> R. The electric field at the center vanishes. What formula describes the electric field at a distance, r, radially from the center if r > R?

a) $2r^{2}\varepsilon _{0}E=R^{3}\rho$

b) none of these are correct

c) $2r\varepsilon _{0}E=R^{2}\rho$

d) $2\varepsilon _{0}E=r\rho$

e) $2R\varepsilon _{0}E=r^{2}\rho$

39) A 4 C charge is separated from a 9 C charge by distance of 9 cm. What is the work done by increasing this separation to 14 cm?

a) 8.769E-07 J

b) 9.646E-07 J

c) 1.061E-06 J

d) 1.167E-06 J

e) 1.284E-06 J

40)

Four charges lie at the corners of a 4 cm by 4 cm square as shown (i.e., a=b=4 cm.) The charges are q₁=3 μC, q₂=6 μC, q₃=9 μC, and q₄=11 μC. How much work was required to assemble these four charges from infinity?

a) 4.554E+01 J

b) 5.009E+01 J

c) 5.510E+01 J

d) 6.061E+01 J

e) 6.667E+01 J

41) A 12.0 V battery can move 35,000 C of charge. How many Joules does it deliver?

a) 4.200E+05 J

b) 4.620E+05 J

c) 5.082E+05 J

d) 5.590E+05 J

e) 6.149E+05 J

42) When a 4.21 V battery operates a 2.17 W bulb, how many electrons pass through it each second?

a) 2.659E+18 electrons

b) 2.925E+18 electrons

c) 3.217E+18 electrons

d) 3.539E+18 electrons

e) 3.893E+18 electrons

43) Calculate the final speed of a free electron accelerated from rest through a potential difference of 74 V.

a) 4.638E+06 m/s

b) 5.102E+06 m/s

c) 5.612E+06 m/s

d) 6.173E+06 m/s

e) 6.791E+06 m/s

44)

An electron gun has parallel plates separated by 4.95 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.516 μC charge that gets between the plates?

a) 1.355E-01 N

b) 1.491E-01 N

c) 1.640E-01 N

d) 1.804E-01 N

e) 1.984E-01 N

45) Assume that a 25 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P₁ and P₂ where the polar coordinates (r,φ) of P₁ are (5 cm, 0°) and P₂ is at (13 cm, 70°).

a) 2.285E+03 V

b) 2.514E+03 V

c) 2.765E+03 V

d) 3.042E+03 V

e) 3.346E+03 V

46)

A Van de Graff generator has a 129 cm diameter metal sphere that produces 174 kV near its surface. What is the excess charge on the sphere?

a) 1.032E+01 μC

b) 1.135E+01 μC

c) 1.249E+01 μC

d) 1.374E+01 μC

e) 1.511E+01 μC

47)

A diploe has a charge magnitude of q=5 nC and a separation distance of d=3.85 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.18 cm, y=1.93 cm)? Note that following the textbook's example, the y-value of the field point at 1.93 cm matches the disance of the positive charge above the x-axis.

a) 3.866E+02 V

b) 4.253E+02 V

c) 4.678E+02 V

d) 5.146E+02 V

e) 5.661E+02 V

48) If a 20 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=70 V is x² + y² + z² = R², where R=

a) 1.754E+00 m

b) 1.929E+00 m

c) 2.122E+00 m

d) 2.334E+00 m

e) 2.568E+00 m

49) Two large parallel conducting plates are separated by 7.14 mm. Equal and opposite surface charges of 7.660E-07 C/m² exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?

a) 4.031E-01 mm

b) 4.636E-01 mm

c) 5.332E-01 mm

d) 6.131E-01 mm

e) 7.051E-01 mm

50) An empty parallel-plate capacitor with metal plates has an area of 2.21 m², separated by 1.25 mm. How much charge does it store if the voltage is 1.580E+03 V?

a) 2.249E+01 μC

b) 2.473E+01 μC

c) 2.721E+01 μC

d) 2.993E+01 μC

e) 3.292E+01 μC

51)

What is the net capacitance if C₁=4.55 μF, C₂=4.39 μF, and C₃=3.32 μF in the configuration shown?

a) 4.173E+00 μF

b) 4.590E+00 μF

c) 5.049E+00 μF

d) 5.554E+00 μF

e) 6.110E+00 μF

52)

In the figure shown C₁=18.0 μF, C₂=2.88 μF, and C₃=5.34 μF. The voltage source provides ε=11.9 V. What is the charge on C₁?

a) 5.045E+01 μC

b) 5.550E+01 μC

c) 6.105E+01 μC

d) 6.715E+01 μC

e) 7.387E+01 μC

53)

In the figure shown C₁=17.7 μF, C₂=2.48 μF, and C₃=4.68 μF. The voltage source provides ε=12.7 V. What is the energy stored in C₂?

a) 2.242E+01 μJ

b) 2.467E+01 μJ

c) 2.713E+01 μJ

d) 2.985E+01 μJ

e) 3.283E+01 μJ

54) A parallel plate capacitor has both plates with an area of 1.35 m². The separation between the plates is 1.23mm. Applied to the plates is a potential difference of 2.65 kV. What is the capacitance?

a) 7.35 nF.

b) 8.45 nF.

c) 9.72 nF.

d) 11.18 nF.

e) 12.85 nF.

55) The same parallel plate capacitor, with area 1.35 m², plate separation 1.23mm, and an applied voltage of 2.65 kV. How much charge is stored?

a) 16.93 μC.

b) 19.47 μC.

c) 22.39 μC.

d) 25.75 μC.

e) 29.62 μC.

56) A 0.5 Farad capacitor is charged with 1.3 Coulombs. What is the value of the electric field if the plates are 0.7 mm apart?

a) 3.71 kV/m.

b) 4.27 kV/m.

c) 4.91 kV/m.

d) 5.65 kV/m.

e) 6.5 kV/m.

57) A 1.4 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.6 mm apart?

a) 0.38 J.

b) 0.43 J.

c) 0.5 J.

d) 0.57 J.

e) 0.66 J.

58) A 0.8 Farad capacitor charged with 1.7 Coulombs. What is the force between the plates if they are 0.5 mm apart?

a) 2065 N.

b) 2375 N.

c) 2732 N.

d) 3141 N.

e) 3613 N.

59) How fast is a 2493 eV electron moving?

a) 1.3 x 10⁷ m/s.

b) 2 x 10⁷ m/s.

c) 3 x 10⁷ m/s.

d) 4.4 x 10⁷ m/s.

e) 6.7 x 10⁷ m/s.

60) A proton is accellerated (at rest) from a plate held at 775.8 volts to a plate at zero volts. What is the final speed?

a) 7.6 x 10⁴ m/s.

b) 1.1 x 10⁵ m/s.

c) 1.7 x 10⁵ m/s.

d) 2.6 x 10⁵ m/s.

e) 3.9 x 10⁵ m/s.

61) What voltage is required accelerate an electron at rest to a speed of 5.6 x 10⁴ m/s?

a) 5.9 x 10^-3 volts

b) 8.9 x 10^-3 volts

c) 1.3 x 10^-2 volts

d) 2 x 10^-2 volts

e) 3 x 10^-2 volts

62) What voltage is required to stop a proton moving at a speed of 8 x 10⁷ m/s?

a) 3.3 x 10⁷ volts

b) 5 x 10⁷ volts

c) 7.5 x 10⁷ volts

d) 1.1 x 10⁸ volts

e) 1.7 x 10⁸ volts

63) What is the average current involved when a truck battery sets in motion 631 C of charge in 3.8 s while starting an engine?

a) 1.661E+02 A

b) 1.827E+02 A

c) 2.009E+02 A

d) 2.210E+02 A

e) 2.431E+02 A

64) The charge passing a plane intersecting a wire is $Q_{M}=\left(1-e^{t/\tau }\right)$, where $Q_{M}$=24 C and $\tau =$0.0248 s. What is the current at $t=$0.0122 s?

a) 4.042E+02 A

b) 4.446E+02 A

c) 4.890E+02 A

d) 5.379E+02 A

e) 5.917E+02 A

65) Calculate the drift speed of electrons in a copper wire with a diameter of 4.49 mm carrying a 11.6 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 10³kg/m³ and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10²³atoms/mol.

a) 4.120E-05 m/s

b) 4.532E-05 m/s

c) 4.985E-05 m/s

d) 5.483E-05 m/s

e) 6.032E-05 m/s

66) A make-believe metal has a density of 6.650E+03 kg/m³ and an atomic mass of 67.5 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 4.456E+28 e⁻/m³

b) 4.901E+28 e⁻/m³

c) 5.392E+28 e⁻/m³

d) 5.931E+28 e⁻/m³

e) 6.524E+28 e⁻/m³

67) A device requires consumes 72 W of power and requires 11.7 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.

a) 1.519E+06 A/m²

b) 1.671E+06 A/m²

c) 1.838E+06 A/m²

d) 2.022E+06 A/m²

e) 2.224E+06 A/m²

68) Calculate the resistance of a 12-gauge copper wire that is 11 m long and carries a current of 94 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm².

a) 3.813E-02 Ω

b) 4.195E-02 Ω

c) 4.614E-02 Ω

d) 5.076E-02 Ω

e) 5.583E-02 Ω

69) Calculate the electric field in a 12-gauge copper wire that is 99 m long and carries a current of 71 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm².

a) 3.604E-04 V/m

b) 3.964E-04 V/m

c) 4.360E-04 V/m

d) 4.796E-04 V/m

e) 5.276E-04 V/m

70) Imagine a substance could be made into a very hot filament. Suppose the resitance is 1.56 Ω at a temperature of 97°C and that the temperature coefficient of expansion is 5.020E-03 (°C)⁻¹). What is the resistance at a temperature of 340 °C?

a) 3.463E+00 Ω

b) 3.636E+00 Ω

c) 3.818E+00 Ω

d) 4.009E+00 Ω

e) 4.209E+00 Ω

71) A DC winch moter draws 27 amps at 190 volts as it lifts a 4.910E+03 N weight at a constant speed of 0.769 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.

a) 1.396E+00 Ω

b) 1.535E+00 Ω

c) 1.689E+00 Ω

d) 1.858E+00 Ω

e) 2.043E+00 Ω

72) What is consumer cost to operate one 91−W incandescent bulb for 10 hours per day for 1 year (365 days) if the cost of electricity is $0.131 per kilowatt-hour?

a) $2.972E+01

b) $3.269E+01

c) $3.596E+01

d) $3.956E+01

e) $4.351E+01

73) A given battery has a 15 V emf and an internal resistance of 0.162 Ω. If it is connected to a 0.561 Ω resistor what is the power dissipated by that load?

a) 1.814E+02 W

b) 1.996E+02 W

c) 2.195E+02 W

d) 2.415E+02 W

e) 2.656E+02 W

74) A battery with a terminal voltage of 13.2 V is connected to a circuit consisting of 3 15.7 Ω resistors and one 10.3 Ω resistor. What is the voltage drop across the 10.3 Ω resistor?

a) 1.958E+00 V

b) 2.153E+00 V

c) 2.369E+00 V

d) 2.606E+00 V

e) 2.866E+00 V

75) Three resistors, R₁ = 1.2 Ω, and R₂ = R₂ = 2.75 Ω, are connected in parallel to a 6.42 V voltage source. Calculate the power dissipated by the smaller resistor (R₁.)

a) 2.581E+01 W

b) 2.839E+01 W

c) 3.122E+01 W

d) 3.435E+01 W

e) 3.778E+01 W

76)

In the circuit shown V=13.5 V, R₁=2.66 Ω, R₂=7.29 Ω, and R₃=14.5 Ω. What is the power dissipated by R₂?

a) 7.123E+00 W

b) 7.835E+00 W

c) 8.618E+00 W

d) 9.480E+00 W

e) 1.043E+01 W

77)

The resistances in the figure shown are R₁= 1.81 Ω, R₂= 1.18 Ω, and R₂= 2.62 Ω. V₁ and V₃ are text 0.628 V and 2.54 V, respectively. But V₂ is opposite to that shown in the figure, or, equivalently, V₂=−0.748 V. What is the absolute value of the current through R₁?

a) 1.552E-01 A

b) 1.707E-01 A

c) 1.878E-01 A

d) 2.065E-01 A

e) 2.272E-01 A

78)

Two sources of emf ε₁=40.6 V, and ε₂=13.5 V are oriented as shownin the circuit. The resistances are R₁=4.35 kΩ and R₂=2.44 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I₃=2.73 mA and I₄=0.78 mA enter and leave near R₂, while the current I₅ exits near R₁.What is the magnitude (absolute value) of I₅?

a) 1.332E+00 mA

b) 1.465E+00 mA

c) 1.612E+00 mA

d) 1.773E+00 mA

e) 1.950E+00 mA

79)

Two sources of emf ε₁=16.8 V, and ε₂=6.85 V are oriented as shownin the circuit. The resistances are R₁=4.43 kΩ and R₂=1.24 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I₃=2.68 mA and I₄=0.758 mA enter and leave near R₂, while the current I₅ exits near R₁.What is the magnitude (absolute value) of voltage drop across R₁?

a) 3.890E+00 V

b) 4.279E+00 V

c) 4.707E+00 V

d) 5.178E+00 V

e) 5.695E+00 V

80)

Two sources of emf ε₁=45.3 V, and ε₂=13.3 V are oriented as shownin the circuit. The resistances are R₁=3.82 kΩ and R₂=1.5 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I₃=6.17 mA and I₄=1.11 mA enter and leave near R₂, while the current I₅ exits near R₁.What is the magnitude (absolute value) of voltage drop across R₂?

a) 1.177E+01 V

b) 1.295E+01 V

c) 1.424E+01 V

d) 1.567E+01 V

e) 1.723E+01 V

81)

In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 467 V. If the combined external and internal resistance is 172 &Omega and the capacitance is 74 mF, how long will it take for the capacitor's voltage to reach 258.0 V?

a) 7.688E+00 s

b) 8.457E+00 s

c) 9.303E+00 s

d) 1.023E+01 s

e) 1.126E+01 s

82) A 4.7 volt battery moves 50 Coulombs of charge in 1.3 hours. What is the power?

a) 4.14 x 10^-2 W

b) 5.02 x 10^-2 W

c) 6.08 x 10^-2 W

d) 7.37 x 10^-2 W

e) 8.93 x 10^-2 W

83) The diameter of a copper wire is 3.8 mm, and it carries a current of 88 amps. What is the drift velocity if copper has a density of 8.8E3 kg/m³ and an atomic mass of 63.54 g/mol? (1 mol = 6.02E23 atoms, and copper has one free electron per atom.)

a) 2.7 x 10^-4m/s

b) 3.27 x 10^-4m/s

c) 3.96 x 10^-4m/s

d) 4.79 x 10^-4m/s

e) 5.81 x 10^-4m/s

84) A 162 Watt DC motor draws 0.41 amps of current. What is effective resistance?

a) 5.42 x 10² Ω

b) 6.57 x 10² Ω

c) 7.95 x 10² Ω

d) 9.64 x 10² Ω

e) 1.17 x 10³ Ω

85) A power supply delivers 110 watts of power to a 299 ohm resistor. What was the applied voltage?

a) 8.42 x 10¹ volts

b) 1.02 x 10² volts

c) 1.24 x 10² volts

d) 1.5 x 10² volts

e) 1.81 x 10² volts

86) 3 amps flow through a 1 Ohm resistor. What is the voltage?

a) $3V$

b) None these are correct.

c) ${\frac {1}{3}}V$

d) $1V$

87) A 1 ohm resistor has 5 volts DC across its terminals. What is the current (I) and the power consumed?

a) I = 5A & P = 5W.

b) I = 5A & P = 3W.

c) I = 5A & P = 25W.

d) I = 5A & P = 9W

88) The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one?

a) $V_{Big-Resistor}=3.33V$ and$V_{small-Resistor}=6.67V$.

b) $V_{Big-Resistor}=6.67V$ and $V_{small-Resistor}=3.33V$.

c) $V_{small-Resistor}=5V$ and $V_{Big-Resistor}=5V$.

d) None of these are true.

89) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in series. What is the total resistance?

a) $R_{Total}=0.5454\Omega$.

b) $R_{Total}=3\Omega$.

c) $R_{Total}=6\Omega$.

d) None of these are true.

90) Two identical resistors are connected in series. The voltage across both of them is 250 volts. What is the voltage across each one?

a) None of these are true.

b) $R_{1}=250V$ and $R_{2}=0V$.

c) $R_{1}=150V$ and $R_{2}=100V$.

d) $R_{1}=125V$ and $R_{2}=125V$.

91) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in parallel. What is the total resistance?

a) ${\frac {6}{11}}\Omega$.

b) ${\frac {11}{6}}\Omega$.

c) ${\frac {6}{3}}\Omega$.

d) ${\frac {3}{6}}\Omega$.

92) A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?

a) ${\frac {6}{10}}\Omega$.

b) ${\frac {10}{7}}\Omega$.

c) ${\frac {10}{6}}\Omega$.

d) ${\frac {7}{10}}\Omega$.

93) A 7 ohm and a 3 ohm resistor are connected in parallel. What is the total resistance?

a) ${\frac {21}{10}}\Omega$.

b) ${\frac {7}{11}}\Omega$.

c) ${\frac {10}{21}}\Omega$.

d) ${\frac {11}{7}}\Omega$.

94) Three 1 ohm resistors are connected in parallel. What is the total resistance?

a) ${\frac {2}{3}}\Omega$.

b) ${\frac {1}{3}}\Omega$.

c) ${\frac {3}{2}}\Omega$.

d) $3\Omega$.

95) If you put an infinite number of resistors in parallel, what would the total resistance be?

a) $R_{total}$ would approach 1 as The No. of Resistors In parallel Approaches Infinity

b) None of these are true.

c) $R_{total}$ would approach Zero as The No. of Resistors In parallel Approaches Infinity.

d) It is not possible to connect that Number of Resistors in parallel.

96) What is the current through R1 and R2 in the figure shown?

a) $I_{1}=1A$ and $I_{2}=1.667A$.

b) $I_{1}=10A$ and $I_{2}=16.67A$.

c) $I_{1}=1A$ and $I_{2}=25A$.

d) $I_{1}=0.1A$ and $I_{2}=0.1667A$.

97) Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?

a) It's an Electrical Cliche.

b) None these are correct

c) The other point could be Negative or positive.

d) Voltage is a measure of Electric Potential difference between two electrical points.

98) What is the current through R1, R2, R3, and R4 in the figure shown?

a) $I_{1}=1A$; $I_{2}=5A$; $I_{3}=3.3A$; $I_{4}=2.5A$.

b) $I_{1}=1A$; $I_{2}=0.5A$; $I_{3}=0.33A$; $I_{4}=0.25A$.

c) $I_{1}=0.25A$; $I_{2}=0.33A$; $I_{3}=0.5A$; $I_{4}=0.1A$.

d) $I_{1}=10A$; $I_{2}=50A$; $I_{3}=33A$; $I_{4}=25A$..

99) Two resistors are in parallel with a voltage source. How do their voltages compare?

a) The voltage across both resistors is half the voltage of the source.

b) None of these are true.

c) The voltage across both resistors is the same as the source.

d) One has full voltage, the other has none.

100) A resistor consumes 5 watts, and its current is 10 amps. What is its voltage?

a) 2V.

b) 0.5V.

c) 15V.

d) 10V.

101) A resistor has 10 volts across it and 4 amps going through it. What is its resistance?

a) $2.5\Omega .$

b) $4.5\Omega .$

c) None of these are true.

d) $3.5\Omega .$

102) If you plot voltage vs. current in a circuit, and you get a linear line, what is the significance of the slope?

a) Discriminant.

b) None of these are true.

c) Power.

d) Resistance.

103) A resistor has 3 volts across it. Its resistance is 1.5 ohms. What is the current?

a) 2A

b) 1.5A

c) 12A

d) 3A

104) A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?

a) 3W

b) 8W

c) 2.2W

d) 24W

105) A resistor has a voltage of 5 volts and a resistance of 15 ohms. What is the power consumed?

a) 1.67 Watts

b) None of these are ture.

c) 2.5 Watts

d) 11.67 Joules

106) A resistor is on for 5 seconds. It consumes power at a rate of 5 watts. How many joules are used?

a) 5 Joules

b) None of these are true

c) 3 Joules

d) 25 Joules

107) An ideal 9.2 V voltage source is connected to two resistors in parallel. One is 1.1$k\Omega$, and the other is 2.4 $k\Omega$. What is the current through the larger resistor?

a) 2.29 mA.

b) 2.63 mA.

c) 3.02 mA.

d) 3.48 mA.

e) 4 mA.

108) A 5.7 ohm resistor is connected in series to a pair of 3.8 ohm resistors that are in parallel. What is the net resistance?

a) 5 ohms.

b) 5.7 ohms.

c) 6.6 ohms.

d) 7.6 ohms.

e) 8.7 ohms.

109) Two 7 ohm resistors are connected in parallel. This combination is then connected in series to a 2.8 ohm resistor. What is the net resistance?

a) 5.5 ohms.

b) 6.3 ohms.

c) 7.2 ohms.

d) 8.3 ohms.

e) 9.6 ohms.

110) An ideal 7.8 volt battery is connected to a 0.064 ohm resistor. To measure the current an ammeter with a resistance of 17$m\Omega$ is used. What current does the ammeter actually read?

a) 63.3 A.

b) 72.8 A.

c) 83.7 A.

d) 96.3 A.

e) 110.7 A.

111) A battery has an emf of 7.8 volts, and an internal resistance of 351 $k\Omega$. It is connected to a 4.2 $M\Omega$ resistor. What power is developed in the 4.2 $M\Omega$ resistor?

a) 12.34 $\mu$W.

b) 14.19 $\mu$W.

c) 16.32 $\mu$W.

d) 18.76 $\mu$W.

e) 21.58 $\mu$W.

112) An alpha-particle (q=3.2x10⁻¹⁹C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.36 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(8.25 i + 7.71 j  + 2.91 k) x 10⁴ m/s?

a) 8.890E-14 N

b) 9.779E-14 N

c) 1.076E-13 N

d) 1.183E-13 N

e) 1.302E-13 N

113) A charged particle in a magnetic field of 4.480E-04 T is moving perpendicular to the magnetic field with a speed of 7.700E+05 m/s. What is the period of orbit if orbital radius is 0.368 m?

a) 2.730E-06 s

b) 3.003E-06 s

c) 3.303E-06 s

d) 3.633E-06 s

e) 3.997E-06 s

114) An alpha-particle (m=6.64x10⁻²⁷kg, q=3.2x10⁻¹⁹C) briefly enters a uniform magnetic field of magnitude 0.0327 T . It emerges after being deflected by 89° from its original direction. How much time did it spend in that magnetic field?

a) 9.857E-07 s

b) 1.084E-06 s

c) 1.193E-06 s

d) 1.312E-06 s

e) 1.443E-06 s

115) A 33 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 8 g, and the magnitude of the magnetic field is 0.869 T. What current is required to maintain this balance?

a) 2.259E-01 A

b) 2.485E-01 A

c) 2.734E-01 A

d) 3.007E-01 A

e) 3.308E-01 A

116) A long rigid wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.893 T magnetic field is directed 66° away from the wire?

a) 2.697E+00 N/m

b) 2.967E+00 N/m

c) 3.263E+00 N/m

d) 3.590E+00 N/m

e) 3.948E+00 N/m

117) A circular current loop of radius 2.48 cm carries a current of 3.67 mA. What is the magnitude of the torque if the dipole is oriented at 21 ° to a uniform magnetic fied of 0.402 T?

a) 1.022E-06 N m

b) 1.124E-06 N m

c) 1.236E-06 N m

d) 1.360E-06 N m

e) 1.496E-06 N m

118) An electron beam (m=9.1 x 10⁻³¹kg, q=1.6 x 10⁻¹⁹C) enters a crossed-field velocity selector with magnetic and electric fields of 4.88 mT and 7.340E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 1.504E+06 m/s

b) 1.655E+06 m/s

c) 1.820E+06 m/s

d) 2.002E+06 m/s

e) 2.202E+06 m/s

119)

The silver ribbon shown are a=4.14 cm, b=3.69 cm, and c= 1.13 cm. The current carries a current of 291 A and it lies in a uniform magnetic field of 3.32 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.

a) 6.795E-06 V

b) 7.475E-06 V

c) 8.222E-06 V

d) 9.045E-06 V

e) 9.949E-06 V

120) A cyclotron used to accelerate alpha particlesm=6.64 x 10⁻²⁷kg, q=3.2 x 10⁻¹⁹C) has a radius of 0.388 m and a magneticfield of 1.19 T. What is their maximum kinetic energy?

a) 8.491E+00 MeV

b) 9.340E+00 MeV

c) 1.027E+01 MeV

d) 1.130E+01 MeV

e) 1.243E+01 MeV

121) A wire carries a current of 293 A in a circular arc with radius 1.75 cm swept through 71 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?

a) 4.652E+00 Tesla

b) 5.117E+00 Tesla

c) 5.629E+00 Tesla

d) 6.192E+00 Tesla

e) 6.811E+00 Tesla

122)

Three wires sit at the corners of a square of length 0.785 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I₁, I₂, I₂) are (2.23 A, 1.52 A, 1.86 A), respectively. What is the x-component of the magnetic field at point P?

a) B_x= 4.559E-05 T

b) B_x= 5.015E-05 T

c) B_x= 5.517E-05 T

d) B_x= 6.068E-05 T

e) B_x= 6.675E-05 T

123)

Three wires sit at the corners of a square of length 0.716 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I₁, I₂, I₂) are (1.94 A, 2.04 A, 2.41 A), respectively. What is the y-component of the magnetic field at point P?

a) B_y= 6.833E-05 T

b) B_y= 7.517E-05 T

c) B_y= 8.268E-05 T

d) B_y= 9.095E-05 T

e) B_y= 1.000E-04 T

124) Two parallel wires each carry a 6.53 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (3.82 cm, 1.17 cm), while the other is located at (4.07 cm, 5.5 cm). What is the force per unit length between the wires?

a) 1.788E-10 N/m

b) 1.966E-10 N/m

c) 2.163E-10 N/m

d) 2.379E-10 N/m

e) 2.617E-10 N/m

125) Two loops of wire carry the same current of 21 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.753 m while the other has a radius of 1.47 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.406 m from the first (smaller) loopif the disance between the loops is 1.38 m?

a) 1.559E-02 T

b) 1.715E-02 T

c) 1.886E-02 T

d) 2.075E-02 T

e) 2.283E-02 T

126) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 2.64 mm from the center of a wire of radius 5 mm if the current is 1A?

a) 1.920E-05 T

b) 2.112E-05 T

c) 2.323E-05 T

d) 2.556E-05 T

e) 2.811E-05 T

127) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for $r<a$ is,
$B_{\theta }(r)=\left({\frac {2r}{a}}-{\frac {r^{2}}{a^{2}}}\right)B_{max}$,
where $B_{max}$ is the maximum magnetic field (at $r=a$). If $a=$ 0.248 m and $B_{max}=\,$ 0.459 T, then how much current (in the z-direction) flows through a circle of radius $r=$ 0.152 m that is centered on the axis with its plane perpendicular to the axis?

a) 2.228E+05 A

b) 2.451E+05 A

c) 2.696E+05 A

d) 2.966E+05 A

e) 3.262E+05 A

128)

The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I₁ and I₃ flow out of the page, and I₂ flows into the page, as shown. Two closed paths are shown, labeled $\beta$ and $\omega$. If I₁=2.51 kA, I₂=1.32 kA, and I₃=2.73 kA, take the $\beta$ path and evalulate the line integral,
  $\oint {\vec {B}}\cdot d{\vec {\ell }}$:

a) 1.331E-03 T-m

b) 1.464E-03 T-m

c) 1.611E-03 T-m

d) 1.772E-03 T-m

e) 1.949E-03 T-m

129)

The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I₁ and I₃ flow out of the page, and I₂ flows into the page, as shown. Two closed paths are shown, labeled $\beta$ and $\omega$. If I₁=2.58 kA, I₂=1.11 kA, and I₃=2.47 kA, take the $\omega$ path and evalulate the line integral,
  $\oint {\vec {B}}\cdot d{\vec {\ell }}$:

a) 4.092E-03 T-m

b) 4.501E-03 T-m

c) 4.951E-03 T-m

d) 5.446E-03 T-m

e) 5.991E-03 T-m

130) A solenoid has 4.380E+04 turns wound around a cylinder of diameter 1.77 cm and length 16 m. The current through the coils is 0.916 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral $\int {\vec {B}}\cdot {\vec {\ell }}$ alongthe axis from z=−4.39 cm to z=+4.26 cm

a) 2.478E-04 T-m

b) 2.726E-04 T-m

c) 2.998E-04 T-m

d) 3.298E-04 T-m

e) 3.628E-04 T-m

131) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 27 turns per centimeter and the current applied to the solenoid is 344 mA, the net magnetic field is measured to be 1.12 T. What is the magnetic susceptibility for this case?

a) $\chi {\text{ (chi) }}=$ 7.922E+02

b) $\chi {\text{ (chi) }}=$ 8.714E+02

c) $\chi {\text{ (chi) }}=$ 9.586E+02

d) $\chi {\text{ (chi) }}=$ 1.054E+03

e) $\chi {\text{ (chi) }}=$ 1.160E+03

132) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

a) 1.3 x 10² m.

b) 4.1 x 10² m.

c) 1.3 x 10³ m.

d) 4.1 x 10³ m.

e) 1.3 x 10⁴ m.

133) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

a) 2.36 x 10^-3 newtons

b) 7.47 x 10^-3 newtons

c) 2.36 x 10^-2 newtons

d) 7.47 x 10^-2 newtons

e) 2.36 x 10^-1 newtons

134) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

a) 5.14 x 10^-5 Volts

b) 1.62 x 10^-4 Volts

c) 5.14 x 10^-4 Volts

d) 1.62 x 10^-3 Volts

e) 5.14 x 10^-3 Volts

135) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

a) 1.1 x 10⁰ volts

b) 3.6 x 10⁰ volts

c) 1.1 x 10¹ volts

d) 3.6 x 10¹ volts

e) 1.1 x 10² volts

136) Amphere's law for magnetostatic currents is that $\oint {\vec {H}}\cdot {\vec {d\ell }}=\int {\vec {J}}\cdot {\vec {dA}}$ equals the current enclosed by the closed loop, and $B=\mu _{0}H$ is the magnetic field. A current of 5.7A flows upward along the z axis. Noting that for this geometry, $\oint {\vec {B}}\cdot {\vec {d\ell }}=B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 9.2m.

a) 4.38E+01 m

b) 4.81E+01 m

c) 5.27E+01 m

d) 5.78E+01 m

e) 6.34E+01 m

137) If $H=B/\mu _{0}$, where $B$ is magnetic field, what is $H$ at a distance of 6.3m from a wire carrying a current of 7.4A?

a) 1.87E-01 A/m

b) 2.05E-01 A/m

c) 2.25E-01 A/m

d) 2.46E-01 A/m

e) 2.70E-01 A/m

138) If $H=B/\mu _{0}$, where $B$ is magnetic field, what is $H_{y}$ at the point (6.3551,4.3477) if a current of 4.8A flows through a wire that runs along the z axis?

a) 8.19E-02 A/m

b) 8.98E-02 A/m

c) 9.84E-02 A/m

d) 1.08E-01 A/m

e) 1.18E-01 A/m

139) A very long and thin solenoid has 2762 turns and is 142 meters long. The wire carrys a current of 9.7A. What is the magnetic field in the center?

a) 2.37E-04 Tesla

b) 2.60E-04 Tesla

c) 2.85E-04 Tesla

d) 3.13E-04 Tesla

e) 3.43E-04 Tesla

140) A very long and thin solenoid has 2472 turns and is 144 meters long. The wire carrys a current of 8.4A. If this solenoid is sufficiently thin, what is the line integral of$\int {\vec {H}}\cdot {\vec {d\ell }}$ along an on-axis path that starts 43 meters from the center and stops 87 meters from the center?

a) 3.17E+03 A

b) 3.48E+03 A

c) 3.81E+03 A

d) 4.18E+03 A

e) 4.59E+03 A

141) What is the sum of 6.6 apples plus 33 apples?

a) 3.61E+01 apples

b) 3.96E+01 apples

c) 4.34E+01 apples

d) 4.76E+01 apples

e) 5.22E+01 apples

142) H is defined by, B=μ₀H, where B is magnetic field. A current of 43A passes along the z-axis. Use symmetry to find the integral, $\int {\vec {H}}\cdot {\vec {d\ell }}$, from the point (0,7.1) to the point (7.1,0).

a) 8.15E+00 amps

b) 8.94E+00 amps

c) 9.80E+00 amps

d) 1.08E+01 amps

e) 1.18E+01 amps

143) H is defined by, B=μ₀H, where B is magnetic field. A current of 40A passes along the z-axis. Use symmetry to find the integral, $\int {\vec {H}}\cdot {\vec {d\ell }}$, from the point (-9.4, 9.4) to the point (9.4, 9.4).

a) 7.59E+00 amps

b) 8.32E+00 amps

c) 9.12E+00 amps

d) 1.00E+01 amps

e) 1.10E+01 amps

144) H is defined by, B=μ₀H, where B is magnetic field. A current of 89A passes along the z-axis. Use symmetry to find the integral, $\int {\vec {H}}\cdot {\vec {d\ell }}$, from the point (0,4.8) to the point (4.8,4.8).

a) 9.25E+00 amps

b) 1.01E+01 amps

c) 1.11E+01 amps

d) 1.22E+01 amps

e) 1.34E+01 amps

145) H is defined by, B=μ₀H, where B is magnetic field. A current of 74A passes along the z-axis. Use symmetry to find the integral, $\int {\vec {H}}\cdot {\vec {d\ell }}$, from (-∞,9) to (+∞,9).

a) 3.08E+01 amps

b) 3.37E+01 amps

c) 3.70E+01 amps

d) 4.06E+01 amps

e) 4.45E+01 amps

146) A square coil has sides that are L= 0.245 m long and is tightly wound with N=925 turns of wire. The resistance of the coil is R=8.0 Ω. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0618 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

a) 3.545E-01 A

b) 3.899E-01 A

c) 4.289E-01 A

d) 4.718E-01 A

e) 5.190E-01 A

147) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.348 m. The magnetic field is spatially uniform but decays in time according to $(2.3)e^{-\alpha t}$, where $\alpha =$7.57 s. What is the current in the coil if the impedance of the coil is 68.6 Ω?

a) 5.720E-02 A

b) 6.292E-02 A

c) 6.921E-02 A

d) 7.613E-02 A

e) 8.375E-02 A

148) The current through the windings of a solenoid with n= 2.260E+03 turns per meter is changing at a rate dI/dt=12 A/s. The solenoid is 62 cm long and has a cross-sectional diameter of 3.37 cm. A small coil consisting of N=23turns wraped in a circle of diameter 1.7 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil. What is the emf induced in the coil?

a) 1.215E-04 V

b) 1.337E-04 V

c) 1.470E-04 V

d) 1.617E-04 V

e) 1.779E-04 V

149) Calculate the motional emf induced along a 27.5 km conductor moving at an orbital speed of 7.86 km/s perpendicular to Earth's 4.520E-05 Tesla magnetic field.

a) 8.074E+03 V

b) 8.882E+03 V

c) 9.770E+03 V

d) 1.075E+04 V

e) 1.182E+04 V

150)

A cylinder of height 2.25 cm and radius 6.77 cm is cut into a wedge as shown. Now imagine that the volume grows as θ increases while the radius R and height h remains constant. What is the volume's rate of change if point P is 3.27 cm from point O and moves at a speed of 4.07 cm/s? Assume that the wedge grows in such a way as the front face moves by rotating around the axis (that contains point O.)
--(Answer & Why this question is different.)

a) 5.834E+01 cm³/s

b) 6.418E+01 cm³/s

c) 7.059E+01 cm³/s

d) 7.765E+01 cm³/s

e) 8.542E+01 cm³/s

151) A recangular coil with an area of 0.178 m² and 17 turns is placed in a uniform magnetic field of 2.62 T. The coil is rotated about an axis that is perpendicular to this field. At time t=0 the normal to the coil is oriented parallel to the magnetic field and the coil is rotating with a constant angular frequency of 4.380E+03 s⁻¹. What is the magnitude (absolute value) of the induced emf at t = 45 s?

a) 1.068E+04 V

b) 1.175E+04 V

c) 1.293E+04 V

d) 1.422E+04 V

e) 1.564E+04 V

152) A spatially uniform magnetic points in the z-direction and oscilates with time as ${\vec {B}}(t)=B_{0}\sin \omega t$ where $B_{0}=$2.34 T and $\omega =$2.670E+03 s⁻¹. Suppose the electric field is always zero at point ${\mathcal {O}}$, and consider a circle of radius 0.646 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral $\oint {\vec {B}}\cdot d{\vec {s}}$ around the circle.

a) 1.905E+04 V

b) 2.096E+04 V

c) 2.305E+04 V

d) 2.536E+04 V

e) 2.790E+04 V

153) A long solenoid has a radius of 0.845 m and 65 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$6 A and $\alpha =$30 s⁻¹.What is the induced electric fied at a distance 2.63 m from the axis at time t=0.0561 s ?

a) 3.371E-04 V/m

b) 3.709E-04 V/m

c) 4.079E-04 V/m

d) 4.487E-04 V/m

e) 4.936E-04 V/m

154) A long solenoid has a radius of 0.613 m and 75 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$2 A and $\alpha =$22 s⁻¹.What is the induced electric fied at a distance 0.206 m from the axis at time t=0.0387 s ?

a) 1.370E-04 V/m

b) 1.507E-04 V/m

c) 1.657E-04 V/m

d) 1.823E-04 V/m

e) 2.005E-04 V/m

155)

A long solenoid has a length 0.89 meters, radius 3.01 cm, and 505 turns. It surrounds coil of radius 8.65 meters and 18turns. If the current in the solenoid is changing at a rate of 279 A/s, what is the emf induced in the surounding coil?

a) 2.646E-02 V

b) 2.911E-02 V

c) 3.202E-02 V

d) 3.522E-02 V

e) 3.874E-02 V

156) An induced emf of 1.7V is measured across a coil of 81 closely wound turns while the current throuth it increases uniformly from 0.0 to 7.07A in 0.174s. What is the self-inductance of the coil?

a) 3.458E-02 H

b) 3.804E-02 H

c) 4.184E-02 H

d) 4.602E-02 H

e) 5.062E-02 H

157) A washer has an inner diameter of 2.23 cm and an outer diamter of 4.18 cm. The thickness is $h=Cr^{-n}$ where $r$ is measured in cm, $C=4.42mm$, and $n=2.62$. What is the volume of the washer?

a) 1.351E+00 cm³

b) 1.486E+00 cm³

c) 1.635E+00 cm³

d) 1.798E+00 cm³

e) 1.978E+00 cm³

158)

Suppose switch S₁ is suddenly closed at time t=0 in the figure shown. What is the current at t =2.53 s if ε = 6.14 V , R = 4.22 Ω, and L = 1.91 H?

a) 1.007E+00 V

b) 1.208E+00 V

c) 1.450E+00 V

d) 1.739E+00 V

e) 2.087E+00 V

159)

Suppose switch S₁ in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S₁ is opened as as S₂ is closed. How long will it take for the energy stored in the inductor to be reduced to 1.43% of its maximum value if ε = 1.64 V , R = 8.3 Ω, and L = 1.61 H?

a) -4.120E-01 s

b) -4.532E-01 s

c) -4.985E-01 s

d) -5.483E-01 s

e) -6.031E-01 s

160) In an LC circuit, the self-inductance is 0.0307 H and the capacitance is 5.330E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 1.840E-05 C. How long does it take for the capacitor to become completely discharged?

a) 5.251E-04 s

b) 5.776E-04 s

c) 6.354E-04 s

d) 6.989E-04 s

e) 7.688E-04 s

161) An ac generator produces an emf of amplitude 40 V at a frequency of 130 Hz. What is the maximum amplitude of the current if the generator is connected to a 52 mF inductor?

a) 7.783E-01 A

b) 8.561E-01 A

c) 9.417E-01 A

d) 1.036E+00 A

e) 1.140E+00 A

162) An ac generator produces an emf of amplitude 58 V at a frequency of 200 Hz. What is the maximum amplitude of the current if the generator is connected to a 66 mF capacitor?

a) 3.976E+00 A

b) 4.373E+00 A

c) 4.810E+00 A

d) 5.291E+00 A

e) 5.821E+00 A

163) The output of an ac generator connected to an RLC series combination has a frequency of 900 Hz and an amplitude of 0.43 V;. If R =7 Ω, L= 5.60E-03H , and C=6.30E-04 F, what is the impedance?

a) 2.658E+01 Ω

b) 2.923E+01 Ω

c) 3.216E+01 Ω

d) 3.537E+01 Ω

e) 3.891E+01 Ω

164) The output of an ac generator connected to an RLC series combination has a frequency of 320 Hz and an amplitude of 0.69 V;. If R =6 Ω, L= 6.80E-03H , and C=9.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

a) 1.143E+00 &rad;

b) 1.257E+00 &rad;

c) 1.382E+00 &rad;

d) 1.521E+00 &rad;

e) 1.673E+00 &rad;

165) The output of an ac generator connected to an RLC series combination has a frequency of 5.50E+04 Hz and an amplitude of 2 V. If R =8 Ω, L= 9.60E-03H , and C=8.30E-06 F, what is the rms power transferred to the resistor?

a) 4.347E-05 Watts

b) 4.782E-05 Watts

c) 5.260E-05 Watts

d) 5.786E-05 Watts

e) 6.364E-05 Watts

166) An RLC series combination is driven with an applied voltage of of V=V₀sin(ωt), where V₀=0.83 V. The resistance, inductance, and capacitance are R =4 Ω, L= 4.60E-03H , and C=8.10E-04 F, respectively. What is the amplitude of the current?

a) 1.417E-01 A

b) 1.559E-01 A

c) 1.715E-01 A

d) 1.886E-01 A

e) 2.075E-01 A

167) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_L, X_C). Since Q is calculatedat resonance, X_L,  X_C and only twoimpedances are involved, Q=≡ω₀L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V₀sin(ωt), where V₀=2 V. The resistance, inductance, and capacitance are R =0.25 Ω, L= 5.40E-03H , and C=3.20E-06 F, respectively.

a) Q = 9.395E+01

b) Q = 1.080E+02

c) Q = 1.242E+02

d) Q = 1.429E+02

e) Q = 1.643E+02

168) A step-down transformer steps 15 kV down to 240 V. The high-voltage input is provided by a 120 Ω power line that carries 3 A of currentWhat is the output current (at the 240 V side ?)

a) 1.550E+02 A

b) 1.705E+02 A

c) 1.875E+02 A

d) 2.063E+02 A

e) 2.269E+02 A

169) Two orbiting satellites are orbiting at a speed of 53 km/s perpendicular to a magnetic field of 58 μT. They are connected by a cable that is 29 km long. A voltmeter is attached between a satellite and one end of the cable. The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit. What is the measured voltage?

a) 7.36 x 10⁴ volts.

b) 8.91 x 10⁴ volts.

c) 1.08 x 10⁵ volts.

d) 1.31 x 10⁵ volts.

e) 1.59 x 10⁵ volts.

170) An loop of wire with 43 turns has a radius of 0.27 meters, and is oriented with its axis parallel to a magetic field of 0.68 Tesla. What is the induced voltage if this field is reduced to 36% of its original value in 3.8 seconds?

a) 6.34 x 10^-1 volts

b) 7.68 x 10^-1 volts

c) 9.31 x 10^-1 volts

d) 1.13 x 10⁰ volts

e) 1.37 x 10⁰ volts

171) A 819 mF capacitor is connected in series to a 798 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e⁴? (where e =2.7...)

a) 8.27 x 10⁵ s.

b) 2.61 x 10⁶ s.

c) 8.27 x 10⁶ s.

d) 2.61 x 10⁷ s.

e) 8.27 x 10⁷ s.

172) A 65 μF capacitor is connected in series to a 414 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e⁴? (where e =2.7...)

a) 1.08 x 10¹ s.

b) 3.4 x 10¹ s.

c) 1.08 x 10² s.

d) 3.4 x 10² s.

e) 1.08 x 10³ s.

173) A 727 mF capacitor is connected in series to a 860 MΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e³? (where e =2.7...)

a) 1.88 x 10⁹ s.

b) 5.93 x 10⁹ s.

c) 1.88 x 10¹⁰ s.

d) 5.93 x 10¹⁰ s.

e) 1.88 x 10¹¹ s.

174) A 10 F capacitor is connected in series to a 10Ω resistor. If the capacitor is discharged, how long does it take to fall by a factor of e⁴? (where e =2.7...)

a) 4 x 10⁰ s.

b) 1.26 x 10¹ s.

c) 4 x 10¹ s.

d) 1.26 x 10² s.

e) 4 x 10² s.

175)

A parallel plate capacitor with a capicatnce C=9.60E-06 F whose plates have an area A=5.40E+03 m² and separation d=5.00E-03 m is connected via a swith to a 29 Ω resistor and a battery of voltage V₀=50 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=8.30E-04?

a) 3.923E+01 V

b) 4.315E+01 V

c) 4.746E+01 V

d) 5.221E+01 V

e) 5.743E+01 V

176)

A parallel plate capacitor with a capicatnce C=1.20E-06 F whose plates have an area A=1.00E+03 m² and separation d=7.70E-03 m is connected via a swith to a 32 Ω resistor and a battery of voltage V₀=38 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=1.40E-04?

a) 3.972E+03 V/m

b) 4.369E+03 V/m

c) 4.806E+03 V/m

d) 5.287E+03 V/m

e) 5.816E+03 V/m

177)

A parallel plate capacitor with a capicatnce C=7.30E-06 F whose plates have an area A=6.80E+03 m² and separation d=8.30E-03 m is connected via a swith to a 84 Ω resistor and a battery of voltage V₀=3 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=2.60E-03?

a) 4.678E-04 A

b) 5.145E-04 A

c) 5.660E-04 A

d) 6.226E-04 A

e) 6.848E-04 A

178) A 41 kW radio transmitter on Earth sends it signal to a satellite 100 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 98 kW?

a) 1.405E+02 km

b) 1.546E+02 km

c) 1.701E+02 km

d) 1.871E+02 km

e) 2.058E+02 km

179) What is the radiation pressure on an object that is 5.50E+11 m away from the sun and has cross-sectional area of 0.016 m²? The average power output of the Sun is 3.80E+26 W.

a) 6.669E-07 N/m²

b) 7.336E-07 N/m²

c) 8.069E-07 N/m²

d) 8.876E-07 N/m²

e) 9.764E-07 N/m²

180) What is the radiation force on an object that is 4.70E+11 m away from the sun and has cross-sectional area of 0.015 m²? The average power output of the Sun is 3.80E+26 W.

a) 1.029E-08 N

b) 1.132E-08 N

c) 1.245E-08 N

d) 1.370E-08 N

e) 1.507E-08 N

181) A circlular capactitor of radius 3.3 m has a gap of 14 mm, and a charge of 11 μC. What is the electric field between the plates?

a) 2.04E+04 N/C (or V/m)

b) 2.47E+04 N/C (or V/m)

c) 3.00E+04 N/C (or V/m)

d) 3.63E+04 N/C (or V/m)

e) 4.40E+04 N/C (or V/m)

182) A circlular capactitor of radius 3.9 m has a gap of 19 mm, and a charge of 78 μC. Compute the surface integral $c^{-2}\oint {\vec {E}}\cdot d{\vec {A}}$ over an inner face of the capacitor.

a) 4.55E-11 Vs²m^-1

b) 5.51E-11 Vs²m^-1

c) 6.68E-11 Vs²m^-1

d) 8.09E-11 Vs²m^-1

e) 9.80E-11 Vs²m^-1

183) A circlular capactitor of radius 4.8 m has a gap of 16 mm, and a charge of 89 μC. The capacitor is discharged through a 6 kΩ resistor. What is the decay time?

a) 1.98E-04 s

b) 2.40E-04 s

c) 2.91E-04 s

d) 3.53E-04 s

e) 4.27E-04 s

184) A circlular capactitor of radius 4.4 m has a gap of 15 mm, and a charge of 63 μC. The capacitor is discharged through a 8 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

a) 7.92E-09 Tesla

b) 9.97E-09 Tesla

c) 1.26E-08 Tesla

d) 1.58E-08 Tesla

e) 1.99E-08 Tesla

185)

Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates

a) how a nearsighted person might see an object that is too close for comfort

b) how a farsighted person might see a distant object

c) how a farsighted person might see an object that is too close for comfort

d) how a nearsighted person might see a distant object

186)

Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates

a) how a farsighted person might see a distant object

b) how a nearsighted person might see a distant object

c) how a farsighted person might see an object that is too close for comfort

d) how a nearsighted person might see an object that is too close for comfort

187) In optics, normal means

a) parallel to the surface

b) perpendicular to the surface

c) to the right of the optical axis

d) to the left of the optical axis

188) The law of reflection applies to

a) both flat and curved surfaces

b) curved surfaces

c) telescopes but not microscopes

d) flat surfaces

e) only light in a vacuum

189) When light passes from air to glass

a) it bends away from the normal

b) the frequency increases

c) it bends towards the normal

d) the frequency decreases

e) it does not bend

190) When light passes from glass to air

a) the frequency increases

b) the frequency decreases

c) it bends away from the normal

d) it bends towards the normal

e) it does not bend

191) An important principle that allows fiber optics to work is

a) total internal reflection

b) the invariance of the speed of light

c) partial internal absorption

d) total external refraction

e) the Doppler shift

192) The focal point is where

a) rays meet whenever they pass through a lens

b) rays meet whenever they are forming an image

c) rays meet if they are parallel to each other

d) the center of the lens

e) rays meet if they were parallel to the optical axis before striking a lens

193) An object is placed 6.3 cm to the left of a diverging lens with a focal length of 8.9 cm. How far is the image from the lens?

a) 1.17 x 10⁰ cm

b) 2.07 x 10⁰ cm

c) 3.69 x 10⁰ cm

d) 6.56 x 10⁰ cm

e) 1.17 x 10¹ cm

194) An object is placed 3.55 cm to the left of a converging lens with a focal length of 6.8 cm. How far is the image from the lens?

a) 4.18 x 10⁰ cm

b) 7.43 x 10⁰ cm

c) 1.32 x 10¹ cm

d) 2.35 x 10¹ cm

e) 4.18 x 10¹ cm

195) An object of height 0.7 cm is placed 117 cm behind a diverging lens with a focal length of 70 cm. What is the height of the image?

a) 2.62 x 10^-1 cm

b) 3.14 x 10^-1 cm

c) 3.77 x 10^-1 cm

d) 4.53 x 10^-1 cm

e) 5.43 x 10^-1 cm

196) An object is placed 10.2 cm to the left of a diverging lens with a focal length of 16.6 cm. On the side, at a distance of 5.6 cm from the diverging lens is a converging lens with focal length equal to 4 cm. How far is the final image from the converging lens?

a) 6.02 x 10^-1 cm

b) 1.9 x 10⁰ cm

c) 6.02 x 10⁰ cm

d) 1.9 x 10¹ cm

e) 6.02 x 10¹ cm

197) Which lens has the shorter focal length?

a)

b) They have the same focal lengh.

c)

198) If this represents the eye looking at an object, where is this object?

a) very far away

b) at infinity

c) One focal length in front of the eye

d) Two (of the other answers) are true

e) directly in front of the eye (almost touching)

199) After passing through a the lens of a camera or the eye, the focal point is defined as where the rays meet.

a) true

b) false

200) Mr. Smith is gazing at something as shown in the figure to the left. Suppose he does not refocus, but attempts to stare at the star shown in the figures below. Which diagram depicts how the rays from the star would travel if he does not refocus?

a)

b)

c)

201) Your solitaire deck uses ♥ ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 4♣, and 5♥. If the questions were Q♠ and Q♣, you would__

a) lose 3 points

b) win 3 points

c) win 1 point

d) be disqualified for cheating

e) lose 1 point

202) Your solitaire deck uses ♥ ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5♥. If the questions were Q♠ and Q♣, you would__

a) win 1 point

b) lose 1 point

c) be disqualified for cheating

d) win 3 points

e) lose 3 points

203) You solitaire deck uses ♥ ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5♥. If the questions were Q♠ and Q♣. Which of the following wins?

a) none of these are true

b) K♥ and K♠

c) K♥ and K♣

d) two of these are true

e) K♠ and K♣

204) You solitaire deck uses ♥ ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5♥. If the questions were Q♠ and Q♣. Which of the following loses?

a) two of these are true

b) none of these are true

c) K♠ and K♣

d) K♥ and K♠

e) K♥ and K♣

205) If you play the solitaire game 6 times, you will on average win ___ times.

a) 6

b) 5

c) 2

d) 4

e) 3

206) If you play the solitaire game 3 times, you will on average lose ___ times.

a) 5

b) 1

c) 3

d) 4

e) 2

207) If you play the solitaire game 6 times, you will on average lose ___ times.

a) 2

b) 6

c) 3

d) 5

e) 4

208) If you play the solitaire game 3 times, you will on average win ___ times.

a) 3

b) 1

c) 2

d) 4

e) 5

209) The light is linearly polarized, the electric field is oriented ________to the direction of motion

a) at 45 degrees

b) all of these are possible

c) parallel

d) perpendicular

210) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction perpendicular to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

a) linear or elliptical

b) circular

c) circular or linear

d) circular or elliptical

e) linearly

211) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created

a) both can be created

b) electromagnetic

c) pendulum

d) electromagnetic or pendulum

212) To create an unpolarized pendulum oscillation

a) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations

b) create an elliptically polarized wave with an ε<0.8

c) create an elliptically polarized wave with an ε>0.2

d) create an elliptically polarized wave with an 0.2<ε<0.8

213) If the hypotenuse of a 45°-45° right triangle has a length of ${\sqrt {2}}$ what is the length of each side?

a) ${\tfrac {1}{\sqrt {2}}}$

b) ${\sqrt {2}}$

c) ${\tfrac {1}{2}}$

d) $1$

e) $2{\sqrt {2}}$

214) If the hypotenuse of a 45°-45° right triangle has a length of $1$ what is the length of each side?

a) $2{\sqrt {2}}$

b) $1$

c) ${\tfrac {1}{2}}$

d) ${\tfrac {1}{\sqrt {2}}}$

e) ${\sqrt {2}}$

215) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the shorter side?

a) ${\tfrac {1}{\sqrt {2}}}$

b) ${\tfrac {3}{4}}$

c) ${\tfrac {1}{2}}$

d) ${\tfrac {\sqrt {3}}{2}}$

e) ${\tfrac {1}{4}}$

216) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the longer side?

a) ${\tfrac {1}{\sqrt {2}}}$

b) ${\tfrac {1}{4}}$

c) ${\tfrac {1}{2}}$

d) ${\tfrac {3}{4}}$

e) ${\tfrac {\sqrt {3}}{2}}$

217) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 30° to that field?

a) ${\tfrac {1}{\sqrt {2}}}$

b) ${\tfrac {3}{4}}$

c) ${\tfrac {\sqrt {3}}{2}}$

d) ${\tfrac {1}{2}}$

e) ${\tfrac {1}{4}}$

218) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 60° to that field?

a) ${\tfrac {\sqrt {3}}{2}}$

b) ${\tfrac {1}{\sqrt {2}}}$

c) ${\tfrac {1}{4}}$

d) ${\tfrac {1}{2}}$

e) ${\tfrac {3}{4}}$

219) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30° to the incoming axis of polarization. How much power passes the filter?

a) 6mW

b) 3mW

c) 4mW

d) 8mW

e) 9mW

220) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 30° to the incoming axis of polarization. How much power is blocked by the filter?

a) 9mW

b) 4mW

c) 8mW

d) 3mW

e) 6mW

221) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60° to the incoming axis of polarization. How much power is blocked by the filter?

a) 3mW

b) 8mW

c) 4mW

d) 9mW

e) 6mW

222) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60° to the incoming axis of polarization. How much power is passed by the filter?

a) 9mW

b) 8mW

c) 3mW

d) 4mW

e) 6mW

223) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 45° to the incoming axis of polarization. How much power is passed by the filter?

a) 3mW

b) 8mW

c) 4mW

d) 6mW

e) 9mW

224)

A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters, each oriented 45° to the previous, as shown. What fraction of the power incident on the first filter emerges from the last?

a) 1/16

b) 1/8

c) 3/32

d) 1/32

e) 3/16

225) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

a) linear or elliptical

b) circular or elliptical

c) circular or linear

d) circular

e) linearly

226) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters. The second is oriented 30° from the first, and the third is rotated by an additional 60°, making it at right angles from the first filter. What fraction of the power incident on the first filter emerges from the last?

a) 1/16

b) 3/32

c) 3/16

d) 1/32

e) 1/8

227) If the wavelength λ associated with a photon is cut in half, the photon's energy E

a) becomes 4 times as big

b) is cut in half

c) stays the same

d) becomes twice as big

e) is reduced by a factor of 4

228) If the wavelength λ associated with a photon doubles, the photon's frequency f

a) becomes twice as big

b) is cut in half

c) is reduced by a factor of 4

d) stays the same

e) becomes 4 times as big

229) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength λ

a) becomes 4 times as big

b) is cut in half

c) is reduced by a factor of 4

d) stays the same

e) becomes twice as big

230) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E

a) is reduced by a factor of 4

b) becomes twice as big

c) is cut in half

d) becomes 4 times as big

e) stays the same

231) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy

a) decreases by 2 eV

b) decreases by 4 eV

c) stays the same

d) increases by 4 eV

e) increases by 2 eV

232) If an atom absorbs a photon with 2 eV energy, the atom's energy

a) increases by 2 eV

b) stays the same

c) increases by 4 eV

d) decreases by 4 eV

e) decreases by 2 eV

233) If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is

a) zero

b) equal to 3 eV

c) greater than 3 eV

d) equal to 6 eV

e) less than 3 eV

234) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?

a) measuring both spin and polarization

b) stopping the electron with an applied voltage

c) measuring spin

d) measuring polarization

e) deflecting the electron with a magnetic field

235) If an atom absorbs a photon with 4 eV energy, the atom's energy

a) decreases by 4 eV

b) increases by 2 eV

c) stays the same

d) increases by 4 eV

e) decreases by 2 eV

236) If 10¹⁸ photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?

a) 4x10¹⁸

b) 6x10¹⁸

c) 10¹⁸

d) 2x10¹⁸

e) 8x10¹⁸

237) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other. The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?

a) No unique answer exists because two variables are involved (temperature and volume).

b) The hotter object has a greater energy density.

c) They have the same energy density (since the holes are identical).

d) The larger object has a greater energy density.

238) Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other. The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?

a) The object with the greater temperature emits more.

b) They both emit the same number of photons (since the holes are identical).

c) No unique answer exists because two variables are involved (temperature and volume).

d) The object with the greater volume.

239) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other. The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy?

a) The larger object has a greater energy.

b) They have the same energy (since the holes are identical).

c) No unique answer exists because two variables are involved (temperature and volume).

d) The hotter object has a greater energy.

240)

This figure is associated with

a) The transfer of energy and momentum of a high energy photon of a nearly free electron.

b) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)

c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

d) Evidence presented in 1800 that light is a wave.

e) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)

241)

This figure is associated with

a) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

b) Evidence presented in 1800 that light is a wave.

c) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)

d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)

e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

242)

This figure is associated with

a) Evidence presented in 1800 that light is a wave.

b) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)

c) The transfer of energy and momentum of a high energy photon of a nearly free electron.

d) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

e) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)

243)

This figure is associated with

a) Evidence presented in 1800 that light is a wave.

b) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

c) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)

d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf

e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

244) A photon is polarized at 5° when it encounters a filter oriented at 35°. What is the probability that it passes?

a) 1

b) 3/4

c) 0

d) 1/2

e) 1/4

245) A photon is polarized at 10° when it encounters a filter oriented at 55°. What is the probability that it passes?

a) 3/4

b) 1/2

c) 1/4

d) 0

e) 1

246) A photon is polarized at 10° when it encounters a filter oriented at 70°. What is the probability that it passes?

a) 0

b) 1/4

c) 1/2

d) 3/4

e) 1

247) A photon is polarized at 10° when it encounters a filter oriented at 40°. What is the probability that it is blocked?

a) 1

b) 3/4

c) 1/2

d) 0

e) 1/4

248) A photon is polarized at 5° when it encounters a filter oriented at 50°. What is the probability that it is blocked?

a) 0

b) 1

c) 1/2

d) 3/4

e) 1/4

249) A photon is polarized at 5° when it encounters a filter oriented at 65°. What is the probability that it is blocked?

a) 3/4

b) 1/2

c) 1

d) 1/4

e) 0

250) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it passes?

a) 1/4

b) 0

c) 3/4

d) 1

e) 1/2

251) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it is blocked?

a) 1/2

b) 1

c) 3/4

d) 1/4

e) 0

252)

Calculate the measured probability:
P(♠,♦) = ?
Assume the dots represent five observations.

a) 3/5

b) 5/6

c) 2/5

d) 3/4

e) 2/4=1/2

253)

Calculate the measured probability:
P(♠,♥) = ?
Assume the dots represent five observations.

a) 3/5

b) 2/4=1/2

c) 3/4

d) 5/6

e) 2/5

254)

Calculate the probability
P(♠,♦)+P(♠,♥)+P(♥,♦) = ?
Assume the dots represent five observations.

a) 5/6

b) 5/4

c) 6/5

d) 4/5

e) 7/5

255)

Calculate the quantum correlation:
C(♠,♦) = ?
Assume the dots represent five observations.

a) −2/5

b) +2/5

c) +1

d) −1/5

e) 0

f) +1/5

256)

Calculate the measured quantum correlation:
C(♠,♥) = ?
Assume the dots represent five observations.

a) −1/5

b) +2/5

c) +1

d) +1/5

e) −2/5

f) 0

257)

If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?

a) 3/4

b) 1

c) 0

d) 1/2

e) 1/4

f) 5/4

258)

If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?

a) 0

b) 1/4

c) 1

d) 1/2

e) 5/4

f) 3/4

259)

If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?

a) 1/4

b) 1/2

c) 0

d) 5/4

e) 3/4

f) 1

260)

If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?

a) 1

b) 1/4

c) 0

d) 5/4

e) 1/2

f) 3/4

261)

If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?

a) 1

b) 1/4

c) 1/2

d) 0

e) 3/4

f) 5/4

ALL A1

1) A long solenoid has a radius of 0.716 m and 96 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$9 A and $\alpha =$23 s⁻¹.What is the induced electric fied at a distance 2.67 m from the axis at time t=0.0226 s ?

a) 1.426E-03 V/m

b) 1.568E-03 V/m

c) 1.725E-03 V/m

d) 1.897E-03 V/m

e) 2.087E-03 V/m

2)

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=2.2 m. The other four surfaces are rectangles in y=y₀=1.7 m, y=y₁=4.6 m, z=z₀=1.4 m, and z=z₁=4.5 m. The surfaces in the yz plane each have area 9.0m². Those in the xy plane have area 6.4m² ,and those in the zx plane have area 6.8m². An electric field of magnitude 15 N/C has components in the y and z directions and is directed at 31° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

a) 3.959E+01 N·m²/C

b) 4.354E+01 N·m²/C

c) 4.790E+01 N·m²/C

d) 5.269E+01 N·m²/C

e) 5.796E+01 N·m²/C

3) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in series. What is the total resistance?

a) $R_{Total}=0.5454\Omega$.

b) $R_{Total}=6\Omega$.

c) $R_{Total}=3\Omega$.

d) None of these are true.

4) A long solenoid has a radius of 0.682 m and 38 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$2 A and $\alpha =$27 s⁻¹.What is the induced electric fied at a distance 0.16 m from the axis at time t=0.0736 s ?

a) 2.571E-05 V/m

b) 2.828E-05 V/m

c) 3.111E-05 V/m

d) 3.422E-05 V/m

e) 3.764E-05 V/m

5)

If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?

a) 1

b) 5/4

c) 1/2

d) 0

e) 3/4

f) 1/4

6)

Suppose switch S₁ in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S₁ is opened as as S₂ is closed. How long will it take for the energy stored in the inductor to be reduced to 1.65% of its maximum value if ε = 3.62 V , R = 4.07 Ω, and L = 7.19 H?

a) -2.476E+00 s

b) -2.724E+00 s

c) -2.996E+00 s

d) -3.296E+00 s

e) -3.625E+00 s

7) The current through the windings of a solenoid with n= 2.060E+03 turns per meter is changing at a rate dI/dt=12 A/s. The solenoid is 68 cm long and has a cross-sectional diameter of 2.96 cm. A small coil consisting of N=29turns wraped in a circle of diameter 1.74 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil. What is the emf induced in the coil?

a) 1.463E-04 V

b) 1.609E-04 V

c) 1.770E-04 V

d) 1.947E-04 V

e) 2.142E-04 V

8) A cylinder of radius, R, and height H has a uniform charge density of $\rho$. The height is much less than the radius: H << R. The electric field at the center vanishes. What formula describes the electric field at a distance, z, on axis from the center if z < H/2?

a) $\varepsilon _{0}E=H\rho$

b) $\varepsilon _{0}E=H\rho /2$

c) $\varepsilon _{0}E=H\rho z$

d) none of these are correct

e) $\varepsilon _{0}E=\rho z$

9) When light passes from air to glass

a) the frequency increases

b) it does not bend

c) it bends away from the normal

d) the frequency decreases

e) it bends towards the normal

10) 3 amps flow through a 1 Ohm resistor. What is the voltage?

a) None these are correct.

b) $1V$

c) ${\frac {1}{3}}V$

d) $3V$

11) An important principle that allows fiber optics to work is

a) the invariance of the speed of light

b) total external refraction

c) partial internal absorption

d) total internal reflection

e) the Doppler shift

12) A parallel plate capacitor has both plates with an area of 1.45 m². The separation between the plates is 1.53mm. Applied to the plates is a potential difference of 2.55 kV. What is the capacitance?

a) 8.39 nF.

b) 9.65 nF.

c) 11.1 nF.

d) 12.76 nF.

e) 14.68 nF.

13)

Calculate the measured quantum correlation:
C(♠,♥) = ?
Assume the dots represent five observations.

a) +1/5

b) −2/5

c) −1/5

d) 0

e) +2/5

f) +1

14) A 65 μF capacitor is connected in series to a 414 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e⁴? (where e =2.7...)

a) 1.08 x 10¹ s.

b) 3.4 x 10¹ s.

c) 1.08 x 10² s.

d) 3.4 x 10² s.

e) 1.08 x 10³ s.

15) A 10 F capacitor is connected in series to a 10Ω resistor. If the capacitor is discharged, how long does it take to fall by a factor of e⁴? (where e =2.7...)

a) 4 x 10⁰ s.

b) 1.26 x 10¹ s.

c) 4 x 10¹ s.

d) 1.26 x 10² s.

e) 4 x 10² s.

16)

If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?

a) 1/2

b) 5/4

c) 3/4

d) 1/4

e) 1

f) 0

17) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60° to the incoming axis of polarization. How much power is blocked by the filter?

a) 3mW

b) 4mW

c) 9mW

d) 8mW

e) 6mW

18) A 162 Watt DC motor draws 0.41 amps of current. What is effective resistance?

a) 5.42 x 10² Ω

b) 6.57 x 10² Ω

c) 7.95 x 10² Ω

d) 9.64 x 10² Ω

e) 1.17 x 10³ Ω

19) A line of charge density λ situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {D}}^{2}+{\mathcal {E}}^{2}=$:

a) (7-s)² + 8²

b) 7² + 8²

c) 7² + (8−s)²

d) 7² + (3−s)²

e) 3² + 8²

20) A 819 mF capacitor is connected in series to a 798 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e⁴? (where e =2.7...)

a) 8.27 x 10⁵ s.

b) 2.61 x 10⁶ s.

c) 8.27 x 10⁶ s.

d) 2.61 x 10⁷ s.

e) 8.27 x 10⁷ s.

21) A cylinder of radius, R, and height H has a uniform charge density of $\rho$. The height is much less than the radius: H << R. The electric field at the center vanishes. What formula describes the electric field at a distance, z, on axis from the center if z > H/2?

a) none of these are correct

b) $\varepsilon _{0}E=H\rho$

c) $\varepsilon _{0}E=\rho z$

d) $\varepsilon _{0}E=H\rho /2$

e) $\varepsilon _{0}E=H\rho z$

22) An object is placed 4.85 cm to the left of a converging lens with a focal length of 4 cm. How far is the image from the lens?

a) 4.06 x 10⁰ cm

b) 7.22 x 10⁰ cm

c) 1.28 x 10¹ cm

d) 2.28 x 10¹ cm

e) 4.06 x 10¹ cm

23) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

a) linearly

b) linear or elliptical

c) circular or linear

d) circular or elliptical

e) circular

24) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the x component of the electric field at (x,y) =( 4a, 5a) is βkQ/a², where β equals

a) 6.11 x 10^-4

b) 7.4 x 10^-4

c) 8.97 x 10^-4

d) 1.09 x 10^-3

e) 1.32 x 10^-3

25) Two parallel wires each carry a 2.58 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.79 cm, 1.03 cm), while the other is located at (5.64 cm, 5.12 cm). What is the force per unit length between the wires?

a) 2.634E-11 N/m

b) 2.897E-11 N/m

c) 3.187E-11 N/m

d) 3.506E-11 N/m

e) 3.856E-11 N/m

26) A photon is polarized at 10° when it encounters a filter oriented at 55°. What is the probability that it passes?

a) 0

b) 1/2

c) 3/4

d) 1/4

e) 1

27) A long rigid wire carries a 3 A current. What is the magnetic force per unit length on the wire if a 0.534 T magnetic field is directed 18° away from the wire?

a) 4.950E-01 N/m

b) 5.445E-01 N/m

c) 5.990E-01 N/m

d) 6.589E-01 N/m

e) 7.248E-01 N/m

28)

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.3 m. The other four surfaces are rectangles in y=y₀=1.5 m, y=y₁=5.8 m, z=z₀=1.7 m, and z=z₁=5.8 m. The surfaces in the yz plane each have area 18.0m². Those in the xy plane have area 5.6m² ,and those in the zx plane have area 5.3m². An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 40° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

a) 3.712E+01 N·m²/C

b) 4.083E+01 N·m²/C

c) 4.491E+01 N·m²/C

d) 4.940E+01 N·m²/C

e) 5.434E+01 N·m²/C

29) A cyclotron used to accelerate alpha particlesm=6.64 x 10⁻²⁷kg, q=3.2 x 10⁻¹⁹C) has a radius of 0.378 m and a magneticfield of 0.835 T. What is their maximum kinetic energy?

a) 4.365E+00 MeV

b) 4.801E+00 MeV

c) 5.281E+00 MeV

d) 5.809E+00 MeV

e) 6.390E+00 MeV

30) Your solitaire deck uses ♥ ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 4♣, and 5♥. If the questions were Q♠ and Q♣, you would__

a) be disqualified for cheating

b) lose 3 points

c) win 1 point

d) lose 1 point

e) win 3 points

31) A battery with a terminal voltage of 14.1 V is connected to a circuit consisting of 3 15.7 Ω resistors and one 10.2 Ω resistor. What is the voltage drop across the 10.2 Ω resistor?

a) 2.074E+00 V

b) 2.282E+00 V

c) 2.510E+00 V

d) 2.761E+00 V

e) 3.037E+00 V

32) An object is placed 10.2 cm to the left of a diverging lens with a focal length of 16.6 cm. On the side, at a distance of 5.6 cm from the diverging lens is a converging lens with focal length equal to 4 cm. How far is the final image from the converging lens?

a) 6.02 x 10^-1 cm

b) 1.9 x 10⁰ cm

c) 6.02 x 10⁰ cm

d) 1.9 x 10¹ cm

e) 6.02 x 10¹ cm

33) Why do we say the "voltage across" or "the voltage with respect to?" Why can't we just say voltage?

a) Voltage is a measure of Electric Potential difference between two electrical points.

b) None these are correct

c) The other point could be Negative or positive.

d) It's an Electrical Cliche.

34) What is the radiation pressure on an object that is 6.90E+11 m away from the sun and has cross-sectional area of 0.041 m²? The average power output of the Sun is 3.80E+26 W.

a) 3.502E-07 N/m²

b) 3.852E-07 N/m²

c) 4.237E-07 N/m²

d) 4.661E-07 N/m²

e) 5.127E-07 N/m²

35) A photon is polarized at 10° when it encounters a filter oriented at 40°. What is the probability that it is blocked?

a) 1/4

b) 1

c) 0

d) 1/2

e) 3/4

36) Calculate the drift speed of electrons in a copper wire with a diameter of 5.19 mm carrying a 18.2 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 10³kg/m³ and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10²³atoms/mol.

a) 5.321E-05 m/s

b) 5.853E-05 m/s

c) 6.439E-05 m/s

d) 7.083E-05 m/s

e) 7.791E-05 m/s

37) A circlular capactitor of radius 4.8 m has a gap of 9 mm, and a charge of 53 μC. The capacitor is discharged through a 6 kΩ resistor. What is what is the maximum magnetic field at the edge of the capacitor? (There are two ways to do this; you should know both.)

a) 3.26E-09 Tesla

b) 4.11E-09 Tesla

c) 5.17E-09 Tesla

d) 6.51E-09 Tesla

e) 8.19E-09 Tesla

38) A given battery has a 11 V emf and an internal resistance of 0.0998 Ω. If it is connected to a 0.417 Ω resistor what is the power dissipated by that load?

a) 1.419E+02 W

b) 1.561E+02 W

c) 1.717E+02 W

d) 1.889E+02 W

e) 2.078E+02 W

39)

If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?

a) 3/4

b) 1

c) 5/4

d) 0

e) 1/4

f) 1/2

40) What voltage is required accelerate an electron at rest to a speed of 7.6 x 10⁷ m/s?

a) 3.2 x 10³ volts

b) 4.9 x 10³ volts

c) 7.3 x 10³ volts

d) 1.1 x 10⁴ volts

e) 1.6 x 10⁴ volts

41) An ideal 7.4 volt battery is connected to a 0.074 ohm resistor. To measure the current an ammeter with a resistance of 12$m\Omega$ is used. What current does the ammeter actually read?

a) 49.2 A.

b) 56.6 A.

c) 65.1 A.

d) 74.8 A.

e) 86 A.

42) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength λ

a) is reduced by a factor of 4

b) stays the same

c) is cut in half

d) becomes twice as big

e) becomes 4 times as big

43) If you put an infinite number of resistors in parallel, what would the total resistance be?

a) $R_{total}$ would approach 1 as The No. of Resistors In parallel Approaches Infinity

b) It is not possible to connect that Number of Resistors in parallel.

c) $R_{total}$ would approach Zero as The No. of Resistors In parallel Approaches Infinity.

d) None of these are true.

44) A cylinder of radius, R, and height H has a uniform charge density of $\rho$. The height is much greater than the radius: H >> R. The electric field at the center vanishes. What formula describes the electric field at a distance, r, radially from the center if r > R?

a) $2\varepsilon _{0}E=r\rho$

b) $2r\varepsilon _{0}E=R^{2}\rho$

c) $2R\varepsilon _{0}E=r^{2}\rho$

d) $2r^{2}\varepsilon _{0}E=R^{3}\rho$

e) none of these are correct

45)

Two sources of emf ε₁=35.5 V, and ε₂=12.3 V are oriented as shownin the circuit. The resistances are R₁=4.49 kΩ and R₂=1.53 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I₃=4.63 mA and I₄=0.972 mA enter and leave near R₂, while the current I₅ exits near R₁.What is the magnitude (absolute value) of voltage drop across R₁?

a) 1.093E+01 V

b) 1.202E+01 V

c) 1.322E+01 V

d) 1.454E+01 V

e) 1.600E+01 V

46) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E

a) stays the same

b) is cut in half

c) is reduced by a factor of 4

d) becomes twice as big

e) becomes 4 times as big

47) A line of charge density λ situated on the x axis extends from x = 3 to x = 7. What is the x component of the electric field at the point (7, 8)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {C}}=$:

a) 7−s

b) s−7

c) s−3

d) 8

e) 3−s

48)

In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 351 V. If the combined external and internal resistance is 148 &Omega and the capacitance is 60 mF, how long will it take for the capacitor's voltage to reach 227.0 V?

a) 9.240E+00 s

b) 1.016E+01 s

c) 1.118E+01 s

d) 1.230E+01 s

e) 1.353E+01 s

49) A photon is polarized at 10° when it encounters a filter oriented at 70°. What is the probability that it passes?

a) 1

b) 1/2

c) 1/4

d) 0

e) 3/4

50) A resistor has a voltage of 5 volts and a resistance of 15 ohms. What is the power consumed?

a) None of these are ture.

b) 2.5 Watts

c) 1.67 Watts

d) 11.67 Joules

51) A 1 ohm resistor has 5 volts DC across its terminals. What is the current (I) and the power consumed?

a) I = 5A & P = 25W.

b) I = 5A & P = 9W

c) I = 5A & P = 5W.

d) I = 5A & P = 3W.

52) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other. The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?

a) They have the same energy density (since the holes are identical).

b) The larger object has a greater energy density.

c) No unique answer exists because two variables are involved (temperature and volume).

d) The hotter object has a greater energy density.

53) An electron tube on Earth's surface is oriented horizontally towards magnetic north. The electron is traveling at 0.06c, and Earth's magnetic field makes an angle of 48.5 degrees with respect to the horizontal. To counter the magnetic force, a voltage is applied between two large parallel plates that are 59 mm apart. What must be the applied voltage if the magnetic field is 45μT?

a) 1.1 x 10⁰ volts

b) 3.6 x 10⁰ volts

c) 1.1 x 10¹ volts

d) 3.6 x 10¹ volts

e) 1.1 x 10² volts

54) Calculate the electric field in a 12-gauge copper wire that is 21 m long and carries a current of 42 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm².

a) 1.602E-04 V/m

b) 1.762E-04 V/m

c) 1.938E-04 V/m

d) 2.132E-04 V/m

e) 2.345E-04 V/m

55)

In the circuit shown V=16.1 V, R₁=1.18 Ω, R₂=5.28 Ω, and R₃=14.8 Ω. What is the power dissipated by R₂?

a) 2.172E+01 W

b) 2.389E+01 W

c) 2.628E+01 W

d) 2.891E+01 W

e) 3.180E+01 W

56) If you play the solitaire game 6 times, you will on average lose ___ times.

a) 6

b) 3

c) 5

d) 2

e) 4

57)

This figure is associated with

a) Evidence presented in 1800 that light is a wave.

b) The transfer of energy and momentum of a high energy photon of a nearly free electron.

c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)

e) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf

58)

A ring is uniformly charged with a net charge of 7 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.35 m (on axis) away from the loop's center?

a) 4.142E+09 N/C²

b) 4.556E+09 N/C²

c) 5.012E+09 N/C²

d) 5.513E+09 N/C²

e) 6.064E+09 N/C²

59) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.86 mm from the center of a wire of radius 5 mm if the current is 1A?

a) 1.488E-05 T

b) 1.637E-05 T

c) 1.800E-05 T

d) 1.981E-05 T

e) 2.179E-05 T

60) A recangular coil with an area of 0.137 m² and 18 turns is placed in a uniform magnetic field of 1.18 T. The coil is rotated about an axis that is perpendicular to this field. At time t=0 the normal to the coil is oriented parallel to the magnetic field and the coil is rotating with a constant angular frequency of 4.120E+03 s⁻¹. What is the magnitude (absolute value) of the induced emf at t = 47 s?

a) 1.086E+04 V

b) 1.195E+04 V

c) 1.314E+04 V

d) 1.446E+04 V

e) 1.590E+04 V

61) A 7 ohm and a 3 ohm resistor are connected in parallel. What is the total resistance?

a) ${\frac {11}{7}}\Omega$.

b) ${\frac {7}{11}}\Omega$.

c) ${\frac {21}{10}}\Omega$.

d) ${\frac {10}{21}}\Omega$.

62) A circlular capactitor of radius 4.4 m has a gap of 16 mm, and a charge of 41 μC. Compute the surface integral $c^{-2}\oint {\vec {E}}\cdot d{\vec {A}}$ over an inner face of the capacitor.

a) 3.51E-11 Vs²m^-1

b) 4.25E-11 Vs²m^-1

c) 5.15E-11 Vs²m^-1

d) 6.24E-11 Vs²m^-1

e) 7.56E-11 Vs²m^-1

63) Calculate the final speed of a free electron accelerated from rest through a potential difference of 6 V.

a) 1.091E+06 m/s

b) 1.201E+06 m/s

c) 1.321E+06 m/s

d) 1.453E+06 m/s

e) 1.598E+06 m/s

64)

Calculate the measured probability:
P(♠,♦) = ?
Assume the dots represent five observations.

a) 3/5

b) 5/6

c) 2/5

d) 2/4=1/2

e) 3/4

65) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction perpendicular to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

a) circular or linear

b) linearly

c) circular

d) linear or elliptical

e) circular or elliptical

66) A photon is polarized at 5° when it encounters a filter oriented at 50°. What is the probability that it is blocked?

a) 3/4

b) 1/4

c) 0

d) 1/2

e) 1

67) H is defined by, B=μ₀H, where B is magnetic field. A current of 65A passes along the z-axis. Use symmetry to find the integral, $\int {\vec {H}}\cdot {\vec {d\ell }}$, from the point (-4.9, 4.9) to the point (4.9, 4.9).

a) 1.23E+01 amps

b) 1.35E+01 amps

c) 1.48E+01 amps

d) 1.63E+01 amps

e) 1.78E+01 amps

68) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the force between the plates if they are 0.7 mm apart?

a) 3180 N.

b) 3657 N.

c) 4206 N.

d) 4837 N.

e) 5562 N.

69) A circular current loop of radius 2.48 cm carries a current of 3.67 mA. What is the magnitude of the torque if the dipole is oriented at 21 ° to a uniform magnetic fied of 0.402 T?

a) 1.022E-06 N m

b) 1.124E-06 N m

c) 1.236E-06 N m

d) 1.360E-06 N m

e) 1.496E-06 N m

70) If you play the solitaire game 3 times, you will on average win ___ times.

a) 2

b) 1

c) 5

d) 3

e) 4

71) Mr. Smith is gazing at something as shown in the figure to the left. Suppose he does not refocus, but attempts to stare at the star shown in the figures below. Which diagram depicts how the rays from the star would travel if he does not refocus?

a)

b)

c)

72)

In the figure shown C₁=16.7 μF, C₂=2.26 μF, and C₃=4.53 μF. The voltage source provides ε=10.7 V. What is the energy stored in C₂?

a) 1.292E+01 μJ

b) 1.421E+01 μJ

c) 1.563E+01 μJ

d) 1.719E+01 μJ

e) 1.891E+01 μJ

73)

Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates

a) how a farsighted person might see an object that is too close for comfort

b) how a nearsighted person might see a distant object

c) how a nearsighted person might see an object that is too close for comfort

d) how a farsighted person might see a distant object

74) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.227 m. The magnetic field is spatially uniform but decays in time according to $(5.55)e^{-\alpha t}$, where $\alpha =$3.92 s. What is the current in the coil if the impedance of the coil is 22.7 Ω?

a) 1.082E-01 A

b) 1.190E-01 A

c) 1.309E-01 A

d) 1.440E-01 A

e) 1.584E-01 A

75) To create an unpolarized pendulum oscillation

a) create an elliptically polarized wave with an ε<0.8

b) create an elliptically polarized wave with an ε>0.2

c) start with a linear, circular, or elliptical wave and slowly evolve to different polarizations

d) create an elliptically polarized wave with an 0.2<ε<0.8

76)

A long solenoid has a length 0.822 meters, radius 4.37 cm, and 515 turns. It surrounds coil of radius 6.12 meters and 14turns. If the current in the solenoid is changing at a rate of 118 A/s, what is the emf induced in the surounding coil?

a) 2.229E-02 V

b) 2.451E-02 V

c) 2.697E-02 V

d) 2.966E-02 V

e) 3.263E-02 V

77) An alpha-particle (m=6.64x10⁻²⁷kg, q=3.2x10⁻¹⁹C) briefly enters a uniform magnetic field of magnitude 0.011 T . It emerges after being deflected by 70° from its original direction. How much time did it spend in that magnetic field?

a) 2.095E-06 s

b) 2.305E-06 s

c) 2.535E-06 s

d) 2.789E-06 s

e) 3.067E-06 s

78) What is the current through R1 and R2 in the figure shown?

a) $I_{1}=1A$ and $I_{2}=25A$.

b) $I_{1}=0.1A$ and $I_{2}=0.1667A$.

c) $I_{1}=1A$ and $I_{2}=1.667A$.

d) $I_{1}=10A$ and $I_{2}=16.67A$.

79) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters. The second is oriented 30° from the first, and the third is rotated by an additional 60°, making it at right angles from the first filter. What fraction of the power incident on the first filter emerges from the last?

a) 1/8

b) 3/32

c) 3/16

d) 1/32

e) 1/16

80) In an LC circuit, the self-inductance is 0.0735 H and the capacitance is 2.300E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 3.220E-05 C. How long does it take for the capacitor to become completely discharged?

a) 4.411E-04 s

b) 4.852E-04 s

c) 5.338E-04 s

d) 5.871E-04 s

e) 6.458E-04 s

81) Calculate the resistance of a 12-gauge copper wire that is 81 m long and carries a current of 32 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm².

a) 3.737E-01 Ω

b) 4.111E-01 Ω

c) 4.522E-01 Ω

d) 4.975E-01 Ω

e) 5.472E-01 Ω

82) What is the average current involved when a truck battery sets in motion 618 C of charge in 2.28 s while starting an engine?

a) 2.240E+02 A

b) 2.464E+02 A

c) 2.711E+02 A

d) 2.982E+02 A

e) 3.280E+02 A

83) Two loops of wire carry the same current of 11 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.424 m while the other has a radius of 1.32 m. What is the magnitude of the magnetic field at a point on the axis of both loops, situated between the loops at a distance 0.52 m from the first (smaller) loopif the disance between the loops is 1.25 m?

a) 7.623E-03 T

b) 8.385E-03 T

c) 9.223E-03 T

d) 1.015E-02 T

e) 1.116E-02 T

84) If this represents the eye looking at an object, where is this object?

a) One focal length in front of the eye

b) directly in front of the eye (almost touching)

c) very far away

d) Two (of the other answers) are true

e) at infinity

85) A 4 volt battery moves 19 Coulombs of charge in 1.3 hours. What is the power?

a) 1.62 x 10^-2 W

b) 1.97 x 10^-2 W

c) 2.38 x 10^-2 W

d) 2.89 x 10^-2 W

e) 3.5 x 10^-2 W

86) If $H=B/\mu _{0}$, where $B$ is magnetic field, what is $H$ at a distance of 6.8m from a wire carrying a current of 6.5A?

a) 1.39E-01 A/m

b) 1.52E-01 A/m

c) 1.67E-01 A/m

d) 1.83E-01 A/m

e) 2.01E-01 A/m

87) H is defined by, B=μ₀H, where B is magnetic field. A current of 50A passes along the z-axis. Use symmetry to find the integral, $\int {\vec {H}}\cdot {\vec {d\ell }}$, from the point (0,7) to the point (7,7).

a) 6.25E+00 amps

b) 6.85E+00 amps

c) 7.51E+00 amps

d) 8.24E+00 amps

e) 9.03E+00 amps

88) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=6, y=0), (x=0, y=5), and (x=6, y=5), where x and y are measured in meters. The electric field is,
${\vec {E}}=3y^{1.7}{\hat {i}}+3x^{1.6}{\hat {j}}+4y^{2.7}{\hat {k}}$

a) 2.067E+03 V·m

b) 2.274E+03 V·m

c) 2.501E+03 V·m

d) 2.752E+03 V·m

e) 3.027E+03 V·m

89) A 1.2 Farad capacitor is charged with 1.6 Coulombs. What is the value of the electric field if the plates are 0.4 mm apart?

a) 1.91 kV/m.

b) 2.19 kV/m.

c) 2.52 kV/m.

d) 2.9 kV/m.

e) 3.33 kV/m.

90)

The resistances in the figure shown are R₁= 2.42 Ω, R₂= 1.09 Ω, and R₂= 3.89 Ω. V₁ and V₃ are text 0.677 V and 1.86 V, respectively. But V₂ is opposite to that shown in the figure, or, equivalently, V₂=−0.745 V. What is the absolute value of the current through R₁?

a) 2.089E-01 A

b) 2.298E-01 A

c) 2.528E-01 A

d) 2.781E-01 A

e) 3.059E-01 A

91) A 12.0 V battery can move 11,000 C of charge. How many Joules does it deliver?

a) 1.200E+05 J

b) 1.320E+05 J

c) 1.452E+05 J

d) 1.597E+05 J

e) 1.757E+05 J

92) Three resistors, R₁ = 0.672 Ω, and R₂ = R₂ = 1.52 Ω, are connected in parallel to a 5.34 V voltage source. Calculate the power dissipated by the smaller resistor (R₁.)

a) 2.898E+01 W

b) 3.188E+01 W

c) 3.507E+01 W

d) 3.858E+01 W

e) 4.243E+01 W

93) A very long and thin solenoid has 1656 turns and is 144 meters long. The wire carrys a current of 8.4A. What is the magnetic field in the center?

a) 8.40E-05 Tesla

b) 9.21E-05 Tesla

c) 1.01E-04 Tesla

d) 1.11E-04 Tesla

e) 1.21E-04 Tesla

94) Two large parallel conducting plates are separated by 7.14 mm. Equal and opposite surface charges of 7.660E-07 C/m² exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 61 V?

a) 4.031E-01 mm

b) 4.636E-01 mm

c) 5.332E-01 mm

d) 6.131E-01 mm

e) 7.051E-01 mm

95) The voltage across two resistors in series is 10 volts. One resistor is twice as large as the other. What is the voltage across the larger resistor? What is the voltage across the smaller one?

a) $V_{Big-Resistor}=6.67V$ and $V_{small-Resistor}=3.33V$.

b) None of these are true.

c) $V_{small-Resistor}=5V$ and $V_{Big-Resistor}=5V$.

d) $V_{Big-Resistor}=3.33V$ and$V_{small-Resistor}=6.67V$.

96) Two identical resistors are connected in series. The voltage across both of them is 250 volts. What is the voltage across each one?

a) $R_{1}=150V$ and $R_{2}=100V$.

b) $R_{1}=250V$ and $R_{2}=0V$.

c) $R_{1}=125V$ and $R_{2}=125V$.

d) None of these are true.

97) A charged particle in a magnetic field of 2.750E-04 T is moving perpendicular to the magnetic field with a speed of 2.120E+05 m/s. What is the period of orbit if orbital radius is 0.385 m?

a) 1.141E-05 s

b) 1.255E-05 s

c) 1.381E-05 s

d) 1.519E-05 s

e) 1.671E-05 s

98)

A parallel plate capacitor with a capicatnce C=7.60E-06 F whose plates have an area A=2.90E+03 m² and separation d=3.40E-03 m is connected via a swith to a 15 Ω resistor and a battery of voltage V₀=90 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=2.20E-04?

a) 7.693E+01 V

b) 8.463E+01 V

c) 9.309E+01 V

d) 1.024E+02 V

e) 1.126E+02 V

99) If you play the solitaire game 6 times, you will on average win ___ times.

a) 5

b) 4

c) 3

d) 2

e) 6

100) A 0.9 Farad capacitor charged with 1.1 Coulombs. What is the energy stored in the capacitor if the plates are 0.3 mm apart?

a) 0.44 J.

b) 0.51 J.

c) 0.58 J.

d) 0.67 J.

e) 0.77 J.

101)

Two sources of emf ε₁=17.3 V, and ε₂=6.46 V are oriented as shownin the circuit. The resistances are R₁=2.54 kΩ and R₂=2.79 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I₃=1.1 mA and I₄=0.281 mA enter and leave near R₂, while the current I₅ exits near R₁.What is the magnitude (absolute value) of voltage drop across R₂?

a) 6.488E+00 V

b) 7.137E+00 V

c) 7.850E+00 V

d) 8.635E+00 V

e) 9.499E+00 V

102) The output of an ac generator connected to an RLC series combination has a frequency of 2.30E+04 Hz and an amplitude of 7 V. If R =3 Ω, L= 4.10E-03H , and C=8.70E-06 F, what is the rms power transferred to the resistor?

a) 8.369E-03 Watts

b) 9.206E-03 Watts

c) 1.013E-02 Watts

d) 1.114E-02 Watts

e) 1.225E-02 Watts

103) A solenoid has 4.900E+04 turns wound around a cylinder of diameter 1.74 cm and length 19 m. The current through the coils is 0.432 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral $\int {\vec {B}}\cdot {\vec {\ell }}$ alongthe axis from z=−4.18 cm to z=+1.77 cm

a) 6.884E-05 T-m

b) 7.573E-05 T-m

c) 8.330E-05 T-m

d) 9.163E-05 T-m

e) 1.008E-04 T-m

104) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created

a) pendulum

b) electromagnetic

c) both can be created

d) electromagnetic or pendulum

105) An empty parallel-plate capacitor with metal plates has an area of 2.66 m², separated by 1.18 mm. How much charge does it store if the voltage is 6.170E+03 V?

a) 1.231E+02 μC

b) 1.355E+02 μC

c) 1.490E+02 μC

d) 1.639E+02 μC

e) 1.803E+02 μC

106) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in parallel. What is the total resistance?

a) ${\frac {6}{3}}\Omega$.

b) ${\frac {3}{6}}\Omega$.

c) ${\frac {6}{11}}\Omega$.

d) ${\frac {11}{6}}\Omega$.

107) A cylinder of radius, r=2, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as,
 ${\vec {\mathfrak {F}}}=(2.17+1.5z)\rho ^{2}{\hat {\rho }}+8.75z^{2}{\hat {z}}$
Let ${\hat {n}}$ be the outward unit normal to this cylinder and evaluate ,
 $\left|\int _{top}{\vec {\mathfrak {F}}}\cdot {\hat {n}}dA\right|\,$
over the top surface of the cylinder.

a) 3.630E+02

b) 4.398E+02

c) 5.329E+02

d) 6.456E+02

e) 7.821E+02

108) If the wavelength λ associated with a photon doubles, the photon's frequency f

a) becomes twice as big

b) is reduced by a factor of 4

c) becomes 4 times as big

d) is cut in half

e) stays the same

109)

Three small charged objects are placed as shown, where $b=2a$, and $a=4\times 10^{-7}{\text{m}}$. What is the magnitude of the net force on $q_{2}$ if $q_{1}=3e$, $q_{2}=-7e$, and $q_{3}=6e$?

a) 2.544E-14 N

b) 2.798E-14 N

c) 3.078E-14 N

d) 3.385E-14 N

e) 3.724E-14 N

110)

A parallel plate capacitor with a capicatnce C=5.60E-06 F whose plates have an area A=2.00E+03 m² and separation d=3.10E-03 m is connected via a swith to a 68 Ω resistor and a battery of voltage V₀=73 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=8.50E-04?

a) 1.579E+04 V/m

b) 1.737E+04 V/m

c) 1.911E+04 V/m

d) 2.102E+04 V/m

e) 2.312E+04 V/m

111) The output of an ac generator connected to an RLC series combination has a frequency of 840 Hz and an amplitude of 0.55 V;. If R =4 Ω, L= 9.30E-03H , and C=9.40E-04 F, what is the impedance?

a) 3.685E+01 Ω

b) 4.053E+01 Ω

c) 4.459E+01 Ω

d) 4.905E+01 Ω

e) 5.395E+01 Ω

112) If $H=B/\mu _{0}$, where $B$ is magnetic field, what is $H_{y}$ at the point (6.2097,1.9209) if a current of 4.7A flows through a wire that runs along the z axis?

a) 8.34E-02 A/m

b) 9.14E-02 A/m

c) 1.00E-01 A/m

d) 1.10E-01 A/m

e) 1.21E-01 A/m

113)

If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?

a) 1/4

b) 1

c) 3/4

d) 0

e) 1/2

f) 5/4

114) In optics, normal means

a) perpendicular to the surface

b) parallel to the surface

c) to the right of the optical axis

d) to the left of the optical axis

115)

Calculate the measured probability:
P(♠,♥) = ?
Assume the dots represent five observations.

a) 2/4=1/2

b) 3/5

c) 2/5

d) 3/4

e) 5/6

116) If an atom absorbs a photon with 4 eV energy, the atom's energy

a) increases by 4 eV

b) increases by 2 eV

c) decreases by 4 eV

d) stays the same

e) decreases by 2 eV

117) A resistor consumes 5 watts, and its current is 10 amps. What is its voltage?

a) 2V.

b) 0.5V.

c) 15V.

d) 10V.

118)

A diploe has a charge magnitude of q=4 nC and a separation distance of d=4.16 cm. The dipole is centered at the origin and points in the y-direction as shown. What is the electric potential at the point (x=3.16 cm, y=2.08 cm)? Note that following the textbook's example, the y-value of the field point at 2.08 cm matches the disance of the positive charge above the x-axis.

a) 3.070E+02 V

b) 3.377E+02 V

c) 3.715E+02 V

d) 4.086E+02 V

e) 4.495E+02 V

119) You solitaire deck uses ♥ ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5♥. If the questions were Q♠ and Q♣. Which of the following wins?

a) two of these are true

b) none of these are true

c) K♥ and K♠

d) K♠ and K♣

e) K♥ and K♣

120) A DC winch moter draws 26 amps at 153 volts as it lifts a 4.100E+03 N weight at a constant speed of 0.609 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.

a) 2.191E+00 Ω

b) 2.410E+00 Ω

c) 2.651E+00 Ω

d) 2.916E+00 Ω

e) 3.208E+00 Ω

121) Your solitaire deck uses ♥ ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5♥. If the questions were Q♠ and Q♣, you would__

a) lose 3 points

b) win 3 points

c) win 1 point

d) lose 1 point

e) be disqualified for cheating

122) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_L, X_C). Since Q is calculatedat resonance, X_L,  X_C and only twoimpedances are involved, Q=≡ω₀L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V₀sin(ωt), where V₀=3 V. The resistance, inductance, and capacitance are R =0.21 Ω, L= 4.70E-03H , and C=3.70E-06 F, respectively.

a) Q = 1.476E+02

b) Q = 1.697E+02

c) Q = 1.952E+02

d) Q = 2.245E+02

e) Q = 2.581E+02

123) A spatially uniform magnetic points in the z-direction and oscilates with time as ${\vec {B}}(t)=B_{0}\sin \omega t$ where $B_{0}=$3.58 T and $\omega =$4.310E+03 s⁻¹. Suppose the electric field is always zero at point ${\mathcal {O}}$, and consider a circle of radius 0.879 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral $\oint {\vec {B}}\cdot d{\vec {s}}$ around the circle.

a) 7.043E+04 V

b) 7.747E+04 V

c) 8.522E+04 V

d) 9.374E+04 V

e) 1.031E+05 V

124) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 60° to the incoming axis of polarization. How much power is passed by the filter?

a) 9mW

b) 4mW

c) 8mW

d) 3mW

e) 6mW

125)

Three wires sit at the corners of a square of length 0.699 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I₁, I₂, I₂) are (1.87 A, 2.18 A, 1.34 A), respectively. What is the y-component of the magnetic field at point P?

a) B_y= 6.999E-05 T

b) B_y= 7.699E-05 T

c) B_y= 8.469E-05 T

d) B_y= 9.316E-05 T

e) B_y= 1.025E-04 T

126) A wire carries a current of 193 A in a circular arc with radius 3.13 cm swept through 40 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?

a) 1.285E+00 Tesla

b) 1.413E+00 Tesla

c) 1.554E+00 Tesla

d) 1.710E+00 Tesla

e) 1.881E+00 Tesla

127)

Calculate the probability
P(♠,♦)+P(♠,♥)+P(♥,♦) = ?
Assume the dots represent five observations.

a) 6/5

b) 5/6

c) 7/5

d) 4/5

e) 5/4

128)

Suppose switch S₁ is suddenly closed at time t=0 in the figure shown. What is the current at t =5.67 s if ε = 5.58 V , R = 3.81 Ω, and L = 3.85 H?

a) 7.037E-01 V

b) 8.444E-01 V

c) 1.013E+00 V

d) 1.216E+00 V

e) 1.459E+00 V

129) A sphere has a uniform charge density of $\rho$, and a radius equal to R. What formula describes the electric field at a distance r < R?

a) $r^{2}\varepsilon _{0}E=r^{3}\rho /2$

b) $r^{2}\varepsilon _{0}E=R^{3}\rho /3$

c) none of these are correct

d) $r^{2}\varepsilon _{0}E=R^{3}\rho /2$

e) $r^{2}\varepsilon _{0}E=r^{3}\rho /3$

130)

The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I₁ and I₃ flow out of the page, and I₂ flows into the page, as shown. Two closed paths are shown, labeled $\beta$ and $\omega$. If I₁=2.38 kA, I₂=0.839 kA, and I₃=2.27 kA, take the $\omega$ path and evalulate the line integral,
  $\oint {\vec {B}}\cdot d{\vec {\ell }}$:

a) 4.354E-03 T-m

b) 4.789E-03 T-m

c) 5.268E-03 T-m

d) 5.795E-03 T-m

e) 6.374E-03 T-m

131) A device requires consumes 168 W of power and requires 11.0 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.

a) 1.901E+06 A/m²

b) 2.091E+06 A/m²

c) 2.300E+06 A/m²

d) 2.530E+06 A/m²

e) 2.783E+06 A/m²

132) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the shorter side?

a) ${\tfrac {1}{2}}$

b) ${\tfrac {1}{\sqrt {2}}}$

c) ${\tfrac {1}{4}}$

d) ${\tfrac {3}{4}}$

e) ${\tfrac {\sqrt {3}}{2}}$

133) A line of charge density λ situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {C}}=$:

a) s − 9

b) s − 2

c) 2

d) 2 − s

e) 9 − s

134) Two parallel wires are 7.5 meters long, and are separated by 4.4 mm. What is the force if both wires carry a current of 14.8 amps?

a) 2.36 x 10^-3 newtons

b) 7.47 x 10^-3 newtons

c) 2.36 x 10^-2 newtons

d) 7.47 x 10^-2 newtons

e) 2.36 x 10^-1 newtons

135) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 30° to that field?

a) ${\tfrac {\sqrt {3}}{2}}$

b) ${\tfrac {1}{4}}$

c) ${\tfrac {1}{2}}$

d) ${\tfrac {1}{\sqrt {2}}}$

e) ${\tfrac {3}{4}}$

136) A square coil has sides that are L= 0.727 m long and is tightly wound with N=376 turns of wire. The resistance of the coil is R=5.59 Ω. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0485 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

a) 1.567E+00 A

b) 1.724E+00 A

c) 1.897E+00 A

d) 2.086E+00 A

e) 2.295E+00 A

137) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy

a) increases by 2 eV

b) increases by 4 eV

c) decreases by 2 eV

d) decreases by 4 eV

e) stays the same

138) A battery has an emf of 6.5 volts, and an internal resistance of 446 $k\Omega$. It is connected to a 3.5 $M\Omega$ resistor. What power is developed in the 3.5 $M\Omega$ resistor?

a) 8.26 $\mu$W.

b) 9.5 $\mu$W.

c) 10.92 $\mu$W.

d) 12.56 $\mu$W.

e) 14.44 $\mu$W.

139) Two resistors are in parallel with a voltage source. How do their voltages compare?

a) The voltage across both resistors is half the voltage of the source.

b) The voltage across both resistors is the same as the source.

c) One has full voltage, the other has none.

d) None of these are true.

140) A 727 mF capacitor is connected in series to a 860 MΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e³? (where e =2.7...)

a) 1.88 x 10⁹ s.

b) 5.93 x 10⁹ s.

c) 1.88 x 10¹⁰ s.

d) 5.93 x 10¹⁰ s.

e) 1.88 x 10¹¹ s.

141) If the wavelength λ associated with a photon is cut in half, the photon's energy E

a) becomes 4 times as big

b) is cut in half

c) becomes twice as big

d) is reduced by a factor of 4

e) stays the same

142)  $E(z)=\int _{0}^{R}f(r',z)dr'$
is an integral that calculates the magnitude of the electric field at a distance $z$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is $R=1.8{\text{ m}}$ and the surface charge density is $\sigma =3{\text{ nC/m}}^{3}$. Evaluate $f(r',z)$ at $r'=1.1{\text{ m}}$.

a) 7.517E+00 V/m²

b) 8.269E+00 V/m²

c) 9.096E+00 V/m²

d) 1.001E+01 V/m²

e) 1.101E+01 V/m²

143) How fast is a 2672 eV electron moving?

a) 6.1 x 10⁶ m/s.

b) 9.1 x 10⁶ m/s.

c) 1.4 x 10⁷ m/s.

d) 2 x 10⁷ m/s.

e) 3.1 x 10⁷ m/s.

144) If a 16 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=76 V is x² + y² + z² = R², where R=

a) 1.422E+00 m

b) 1.564E+00 m

c) 1.720E+00 m

d) 1.892E+00 m

e) 2.081E+00 m

145) If the hypotenuse of a 45°-45° right triangle has a length of ${\sqrt {2}}$ what is the length of each side?

a) ${\tfrac {1}{2}}$

b) $1$

c) $2{\sqrt {2}}$

d) ${\tfrac {1}{\sqrt {2}}}$

e) ${\sqrt {2}}$

146) A resistor has 10 volts across it and 4 amps going through it. What is its resistance?

a) $4.5\Omega .$

b) $3.5\Omega .$

c) None of these are true.

d) $2.5\Omega .$

147)

What is the net capacitance if C₁=4.7 μF, C₂=4.82 μF, and C₃=3.61 μF in the configuration shown?

a) 5.445E+00 μF

b) 5.990E+00 μF

c) 6.589E+00 μF

d) 7.247E+00 μF

e) 7.972E+00 μF

148)

Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q₁=3 μC, q₂=5 μC, q₃=8 μC, and q₄=11 μC. How much work was required to assemble these four charges from infinity?

a) 3.444E+01 J

b) 3.789E+01 J

c) 4.168E+01 J

d) 4.585E+01 J

e) 5.043E+01 J

149) If you plot voltage vs. current in a circuit, and you get a linear line, what is the significance of the slope?

a) Power.

b) None of these are true.

c) Discriminant.

d) Resistance.

150) A resistor has 8 volts across it and 3 Amps going through it. What is the power consumed?

a) 3W

b) 2.2W

c) 8W

d) 24W

151) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 7.8 nano-Coulombs. What is the magnitude of the electric field at a distance of 1.3 m from the center of the shells?

a) 2.837E+01 N/C

b) 3.121E+01 N/C

c) 3.433E+01 N/C

d) 3.776E+01 N/C

e) 4.154E+01 N/C

152) A dipole at the origin consists of charge Q placed at x = 0.5a, and charge of -Q placed at x = -0.5a. The absolute value of the y component of the electric field at (x,y) =( 1.1a, 1.2a) is βkQ/a², where β equals

a) 2.36 x 10^-1 unit

b) 2.86 x 10^-1 unit

c) 3.47 x 10^-1 unit

d) 4.2 x 10^-1 unit

e) 5.09 x 10^-1 unit

153) If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is

a) greater than 3 eV

b) less than 3 eV

c) equal to 6 eV

d) zero

e) equal to 3 eV

154) A proton is accellerated (at rest) from a plate held at 729.8 volts to a plate at zero volts. What is the final speed?

a) 1.7 x 10⁵ m/s.

b) 2.5 x 10⁵ m/s.

c) 3.7 x 10⁵ m/s.

d) 5.6 x 10⁵ m/s.

e) 8.4 x 10⁵ m/s.

155) An ac generator produces an emf of amplitude 76 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 14 mF inductor?

a) 3.606E+00 A

b) 3.967E+00 A

c) 4.364E+00 A

d) 4.800E+00 A

e) 5.280E+00 A

156) An loop of wire with 54 turns has a radius of 0.8 meters, and is oriented with its axis parallel to a magetic field of 0.86 Tesla. What is the induced voltage if this field is reduced to 46% of its original value in 2.4 seconds?

a) 1.43 x 10¹ volts

b) 1.73 x 10¹ volts

c) 2.1 x 10¹ volts

d) 2.55 x 10¹ volts

e) 3.08 x 10¹ volts

157) What is consumer cost to operate one 105−W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.131 per kilowatt-hour?

a) $5.021E+01

b) $5.523E+01

c) $6.075E+01

d) $6.682E+01

e) $7.351E+01

158) Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other. The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?

a) The object with the greater volume.

b) No unique answer exists because two variables are involved (temperature and volume).

c) They both emit the same number of photons (since the holes are identical).

d) The object with the greater temperature emits more.

159) What is the magnitude of the electric field at the origin if a 1.8 nC charge is placed at x = 9.6 m, and a 2 nC charge is placed at y = 8.7 m?

a) 2.95 x 10^-1N/C

b) 3.41 x 10^-1N/C

c) 3.94 x 10^-1N/C

d) 4.55 x 10^-1N/C

e) 5.25 x 10^-1N/C

160)

This figure is associated with

a) The transfer of energy and momentum of a high energy photon of a nearly free electron.

b) Evidence presented in 1800 that light is a wave.

c) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)

d) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

e) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)

161) Two 9.4 ohm resistors are connected in parallel. This combination is then connected in series to a 2.4 ohm resistor. What is the net resistance?

a) 5.4 ohms.

b) 6.2 ohms.

c) 7.1 ohms.

d) 8.2 ohms.

e) 9.4 ohms.

162) A cylinder of radius, r=3, and height, h=6, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as,
 ${\vec {\mathfrak {F}}}=(2.21+1.16z)\rho ^{2}{\hat {\rho }}+7.96z^{3}{\hat {z}}$
Let ${\hat {n}}$ be the outward unit normal to this cylinder and evaluate ,
 $\left|\int _{side}{\vec {\mathfrak {F}}}\cdot {\hat {n}}dA\right|\,$
over the curved side surface of the cylinder.

a) 1.533E+03

b) 1.857E+03

c) 2.250E+03

d) 2.725E+03

e) 3.302E+03

163) An alpha-particle (q=3.2x10⁻¹⁹C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.69 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(8.9 i + 4.27 j  + 7.52 k) x 10⁴ m/s?

a) 5.296E-14 N

b) 5.826E-14 N

c) 6.408E-14 N

d) 7.049E-14 N

e) 7.754E-14 N

164)

This figure is associated with

a) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)

b) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)

c) Evidence presented in 1800 that light is a wave.

d) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

165) An electron beam (m=9.1 x 10⁻³¹kg, q=1.6 x 10⁻¹⁹C) enters a crossed-field velocity selector with magnetic and electric fields of 4.96 mT and 2.010E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

a) 2.768E+05 m/s

b) 3.045E+05 m/s

c) 3.349E+05 m/s

d) 3.684E+05 m/s

e) 4.052E+05 m/s

166)

Three small charged objects are placed as shown, where $b=2a$, and $a=2\times 10^{-7}{\text{m}}$.what angle does the force on $q_{2}$ make above the $-x$ axis if $q_{1}=1e$, $q_{2}=-7e$, and $q_{3}=4e$?

a) 4.091E+01 degrees

b) 4.500E+01 degrees

c) 4.950E+01 degrees

d) 5.445E+01 degrees

e) 5.990E+01 degrees

167)

In the figure shown C₁=16.0 μF, C₂=2.27 μF, and C₃=4.4 μF. The voltage source provides ε=7.11 V. What is the charge on C₁?

a) 2.515E+01 μC

b) 2.766E+01 μC

c) 3.043E+01 μC

d) 3.347E+01 μC

e) 3.682E+01 μC

168) A cylinder of radius, r=2, and height, h=4, is centered at the origin and oriented along the z axis. A vector field can be expressed in cylindrical coordinates as,
 ${\vec {\mathfrak {F}}}=(2.45+2.26z)\rho ^{2}{\hat {\rho }}+8.92z^{3}{\hat {z}}$
Let ${\hat {n}}$ be the outward unit normal to this cylinder and evaluate ,
 $\left|\oint {\vec {\mathfrak {F}}}\cdot {\hat {n}}dA\right|\,$
over the entire surface of the cylinder.

a) 1.29E+03

b) 1.56E+03

c) 1.89E+03

d) 2.29E+03

e) 2.77E+03

169) Imagine a substance could be made into a very hot filament. Suppose the resitance is 1.95 Ω at a temperature of 96°C and that the temperature coefficient of expansion is 4.400E-03 (°C)⁻¹). What is the resistance at a temperature of 469 °C?

a) 4.449E+00 Ω

b) 4.672E+00 Ω

c) 4.905E+00 Ω

d) 5.150E+00 Ω

e) 5.408E+00 Ω

170) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for $r<a$ is,
$B_{\theta }(r)=\left({\frac {2r}{a}}-{\frac {r^{2}}{a^{2}}}\right)B_{max}$,
where $B_{max}$ is the maximum magnetic field (at $r=a$). If $a=$ 0.568 m and $B_{max}=\,$ 0.214 T, then how much current (in the z-direction) flows through a circle of radius $r=$ 0.387 m that is centered on the axis with its plane perpendicular to the axis?

a) 3.382E+05 A

b) 3.720E+05 A

c) 4.092E+05 A

d) 4.502E+05 A

e) 4.952E+05 A

171)

An electron gun has parallel plates separated by 3.35 cm and gives electrons 26 keV of energy. What force would the field between the plates exert on a 0.682 μC charge that gets between the plates?

a) 3.977E-01 N

b) 4.374E-01 N

c) 4.812E-01 N

d) 5.293E-01 N

e) 5.822E-01 N

172) A sphere has a uniform charge density of $\rho$, and a radius or R. What formula describes the electric field at a distance r > R?

a) $r^{2}\varepsilon _{0}E=R^{3}\rho /2$

b) $r^{2}\varepsilon _{0}E=r^{3}\rho /2$

c) $r^{2}\varepsilon _{0}E=r^{3}\rho /3$

d) $r^{2}\varepsilon _{0}E=R^{3}\rho /3$

e) none of these are correct

173) A line of charge density λ situated on the y axis extends from y = 2 to y = 7. What is the y component of the electric field at the point (2, 9)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {D}}^{2}+{\mathcal {E}}^{2}=$:

a) 2² + (9-s)²

b) 9² + (2-s)²

c) 2² + (7-s)²

d) 7² + (2-s)²

e) 9² + (7-s)²

174) A 5 ohm and a 2 ohm resistor are connected in parallel. What is the total resistance?

a) ${\frac {10}{7}}\Omega$.

b) ${\frac {7}{10}}\Omega$.

c) ${\frac {6}{10}}\Omega$.

d) ${\frac {10}{6}}\Omega$.

175) If the hypotenuse of a 45°-45° right triangle has a length of $1$ what is the length of each side?

a) ${\sqrt {2}}$

b) ${\tfrac {1}{\sqrt {2}}}$

c) $2{\sqrt {2}}$

d) ${\tfrac {1}{2}}$

e) $1$

176) If you play the solitaire game 3 times, you will on average lose ___ times.

a) 1

b) 5

c) 2

d) 3

e) 4

177) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other. The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy?

a) They have the same energy (since the holes are identical).

b) No unique answer exists because two variables are involved (temperature and volume).

c) The hotter object has a greater energy.

d) The larger object has a greater energy.

178) A line of charge density λ situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {A}}=$:

a) 8

b) 1/2

c) 4

d) 2

179) Assume that a 17 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P₁ and P₂ where the polar coordinates (r,φ) of P₁ are (6 cm, 0°) and P₂ is at (15 cm, 48°).

a) 1.528E+03 V

b) 1.681E+03 V

c) 1.849E+03 V

d) 2.034E+03 V

e) 2.237E+03 V

180) What voltage is required to stop a proton moving at a speed of 8 x 10⁷ m/s?

a) 3.3 x 10⁷ volts

b) 5 x 10⁷ volts

c) 7.5 x 10⁷ volts

d) 1.1 x 10⁸ volts

e) 1.7 x 10⁸ volts

181) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 60° to that field?

a) ${\tfrac {1}{4}}$

b) ${\tfrac {\sqrt {3}}{2}}$

c) ${\tfrac {1}{\sqrt {2}}}$

d) ${\tfrac {3}{4}}$

e) ${\tfrac {1}{2}}$

182) A power supply delivers 110 watts of power to a 299 ohm resistor. What was the applied voltage?

a) 8.42 x 10¹ volts

b) 1.02 x 10² volts

c) 1.24 x 10² volts

d) 1.5 x 10² volts

e) 1.81 x 10² volts

183)

KaisekiGairon-371-3

A torus is centered around the x-y plane, with major radius, a = 6.48 m, and minor radius, r = 2.16m. A wire carrying 5A is uniformly wrapped with 930 turns. If B=μ₀H is the magnetic field, what is H inside the torus, at a point on the xy plane that is 0.54m from the outermost edge of the torus?

a) 5.31E+01 amps per meter

b) 5.73E+01 amps per meter

c) 6.19E+01 amps per meter

d) 6.68E+01 amps per meter

e) 7.21E+01 amps per meter

184) The light is linearly polarized, the electric field is oriented ________to the direction of motion

a) at 45 degrees

b) all of these are possible

c) parallel

d) perpendicular

185) A circlular capactitor of radius 3.3 m has a gap of 14 mm, and a charge of 11 μC. What is the electric field between the plates?

a) 2.04E+04 N/C (or V/m)

b) 2.47E+04 N/C (or V/m)

c) 3.00E+04 N/C (or V/m)

d) 3.63E+04 N/C (or V/m)

e) 4.40E+04 N/C (or V/m)

186) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 30° to the incoming axis of polarization. How much power is blocked by the filter?

a) 3mW

b) 6mW

c) 9mW

d) 4mW

e) 8mW

187) A 48 kW radio transmitter on Earth sends it signal to a satellite 130 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 80 kW?

a) 1.678E+02 km

b) 1.846E+02 km

c) 2.031E+02 km

d) 2.234E+02 km

e) 2.457E+02 km

188)

A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. Unpolarized light impinges on three linear filters, each oriented 45° to the previous, as shown. What fraction of the power incident on the first filter emerges from the last?

a) 3/32

b) 1/16

c) 1/32

d) 1/8

e) 3/16

189) When a 6.03 V battery operates a 1.56 W bulb, how many electrons pass through it each second?

a) 1.615E+18 electrons

b) 1.776E+18 electrons

c) 1.954E+18 electrons

d) 2.149E+18 electrons

e) 2.364E+18 electrons

190) A washer has an inner diameter of 2.6 cm and an outer diamter of 4.17 cm. The thickness is $h=Cr^{-n}$ where $r$ is measured in cm, $C=4.38mm$, and $n=2.62$. What is the volume of the washer?

a) 7.196E-01 cm³

b) 7.916E-01 cm³

c) 8.707E-01 cm³

d) 9.578E-01 cm³

e) 1.054E+00 cm³

191)

Two sources of emf ε₁=39.0 V, and ε₂=15.9 V are oriented as shownin the circuit. The resistances are R₁=3.4 kΩ and R₂=2.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I₃=3.58 mA and I₄=0.978 mA enter and leave near R₂, while the current I₅ exits near R₁.What is the magnitude (absolute value) of I₅?

a) 2.150E+00 mA

b) 2.365E+00 mA

c) 2.602E+00 mA

d) 2.862E+00 mA

e) 3.148E+00 mA

192) A resistor is on for 5 seconds. It consumes power at a rate of 5 watts. How many joules are used?

a) 3 Joules

b) None of these are true

c) 5 Joules

d) 25 Joules

193) The same parallel plate capacitor, with area 0.55 m², plate separation 0.53mm, and an applied voltage of 4.25 kV. How much charge is stored?

a) 39.05 μC.

b) 44.91 μC.

c) 51.64 μC.

d) 59.39 μC.

e) 68.3 μC.

194) Which lens has the shorter focal length?

a)

b) They have the same focal lengh.

c)

195) A photon is polarized at 5° when it encounters a filter oriented at 35°. What is the probability that it passes?

a) 1

b) 1/4

c) 0

d) 3/4

e) 1/2

196) The output of an ac generator connected to an RLC series combination has a frequency of 160 Hz and an amplitude of 0.47 V;. If R =8 Ω, L= 1.30E-03H , and C=6.40E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

a) 2.111E-02 &rad;

b) 2.322E-02 &rad;

c) 2.554E-02 &rad;

d) 2.810E-02 &rad;

e) 3.091E-02 &rad;

197) Two orbiting satellites are orbiting at a speed of 66 km/s perpendicular to a magnetic field of 64 μT. They are connected by a cable that is 37 km long. A voltmeter is attached between a satellite and one end of the cable. The voltmeter's internal impedance far exceeds the net resistance through the ionosphere that completes the circuit. What is the measured voltage?

a) 1.29 x 10⁵ volts.

b) 1.56 x 10⁵ volts.

c) 1.89 x 10⁵ volts.

d) 2.29 x 10⁵ volts.

e) 2.78 x 10⁵ volts.

198) A line of charge density λ situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {B}}=$

a) 3

b) −3

c) −3

d) −7

e) 2

199) A cosmic ray alpha particle encounters Earth's magnetic field at right angles to a field of 7.4 μT. The kinetic energy is 437 keV. What is the radius of particle's orbit?

a) 1.3 x 10² m.

b) 4.1 x 10² m.

c) 1.3 x 10³ m.

d) 4.1 x 10³ m.

e) 1.3 x 10⁴ m.

200) A cylinder of radius, R, and height H has a uniform charge density of $\rho$. The height is much greater than the radius: H >> R. The electric field at the center vanishes. What formula describes the electric field at a distance, r, radially from the center if r < R?

a) none of these are correct

b) $2R\varepsilon _{0}E=r^{2}\rho$

c) $2r^{2}\varepsilon _{0}E=R^{3}\rho$

d) $2\varepsilon _{0}E=r\rho$

e) $2r\varepsilon _{0}E=R^{2}\rho$

201)

Calculate the quantum correlation:
C(♠,♦) = ?
Assume the dots represent five observations.

a) 0

b) +1

c) −2/5

d) +1/5

e) +2/5

f) −1/5

202) An RLC series combination is driven with an applied voltage of of V=V₀sin(ωt), where V₀=0.62 V. The resistance, inductance, and capacitance are R =6 Ω, L= 8.10E-03H , and C=6.40E-04 F, respectively. What is the amplitude of the current?

a) 7.058E-02 A

b) 7.764E-02 A

c) 8.540E-02 A

d) 9.394E-02 A

e) 1.033E-01 A

203) Three 1 ohm resistors are connected in parallel. What is the total resistance?

a) ${\frac {3}{2}}\Omega$.

b) ${\frac {2}{3}}\Omega$.

c) $3\Omega$.

d) ${\frac {1}{3}}\Omega$.

204) H is defined by, B=μ₀H, where B is magnetic field. A current of 31A passes along the z-axis. Use symmetry to find the integral, $\int {\vec {H}}\cdot {\vec {d\ell }}$, from (-∞,9.4) to (+∞,9.4).

a) 1.55E+01 amps

b) 1.70E+01 amps

c) 1.86E+01 amps

d) 2.04E+01 amps

e) 2.24E+01 amps

205) You solitaire deck uses ♥ ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5♥. If the questions were Q♠ and Q♣. Which of the following loses?

a) K♥ and K♣

b) two of these are true

c) K♠ and K♣

d) none of these are true

e) K♥ and K♠

206) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30° to the incoming axis of polarization. How much power passes the filter?

a) 6mW

b) 3mW

c) 4mW

d) 8mW

e) 9mW

207)

Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x₁=1.2 m. The other four surfaces are rectangles in y=y₀=1.7 m, y=y₁=5.0 m, z=z₀=1.9 m, and z=z₁=4.3 m. The surfaces in the yz plane each have area 7.9m². Those in the xy plane have area 4.0m² ,and those in the zx plane have area 2.9m². An electric field has the xyz components (0, 5.3, 9.1) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

a) 1.388E+01 N·m²/C

b) 1.526E+01 N·m²/C

c) 1.679E+01 N·m²/C

d) 1.847E+01 N·m²/C

e) 2.032E+01 N·m²/C

208)

If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?

a) 3/4

b) 0

c) 1

d) 5/4

e) 1/4

f) 1/2

209) After passing through a the lens of a camera or the eye, the focal point is defined as where the rays meet.

a) true

b) false

210) In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?

a) measuring polarization

b) stopping the electron with an applied voltage

c) measuring both spin and polarization

d) measuring spin

e) deflecting the electron with a magnetic field

211) A step-down transformer steps 18 kV down to 260 V. The high-voltage input is provided by a 290 Ω power line that carries 3 A of currentWhat is the output current (at the 260 V side ?)

a) 1.888E+02 A

b) 2.077E+02 A

c) 2.285E+02 A

d) 2.513E+02 A

e) 2.764E+02 A

212) A line of charge density λ situated on the x axis extends from x = 4 to x = 8. What is the x component of the electric field at the point (8, 4)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {C}}=$:

a) s−4

b) 4

c) 4−s

d) s−8

e) 8−s

213) An ac generator produces an emf of amplitude 98 V at a frequency of 110 Hz. What is the maximum amplitude of the current if the generator is connected to a 2 mF capacitor?

a) 1.232E-01 A

b) 1.355E-01 A

c) 1.490E-01 A

d) 1.639E-01 A

e) 1.803E-01 A

214) A very long and thin solenoid has 1397 turns and is 154 meters long. The wire carrys a current of 9A. If this solenoid is sufficiently thin, what is the line integral of$\int {\vec {H}}\cdot {\vec {d\ell }}$ along an on-axis path that starts 31 meters from the center and stops 93 meters from the center?

a) 3.76E+03 A

b) 4.12E+03 A

c) 4.52E+03 A

d) 4.95E+03 A

e) 5.43E+03 A

215) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it passes?

a) 3/4

b) 1

c) 0

d) 1/4

e) 1/2

216) Amphere's law for magnetostatic currents is that $\oint {\vec {H}}\cdot {\vec {d\ell }}=\int {\vec {J}}\cdot {\vec {dA}}$ equals the current enclosed by the closed loop, and $B=\mu _{0}H$ is the magnetic field. A current of 7.2A flows upward along the z axis. Noting that for this geometry, $\oint {\vec {B}}\cdot {\vec {d\ell }}=B\oint d\ell$, calculate the line integral $\oint d\ell$ for a circle of radius 8.2m.

a) 4.70E+01 m

b) 5.15E+01 m

c) 5.65E+01 m

d) 6.19E+01 m

e) 6.79E+01 m

217)

A Van de Graff generator has a 107 cm diameter metal sphere that produces 219 kV near its surface. What is the excess charge on the sphere?

a) 1.304E+01 μC

b) 1.434E+01 μC

c) 1.577E+01 μC

d) 1.735E+01 μC

e) 1.909E+01 μC

218) A circlular capactitor of radius 4.1 m has a gap of 11 mm, and a charge of 51 μC. The capacitor is discharged through a 8 kΩ resistor. What is the decay time?

a) 3.40E-04 s

b) 4.12E-04 s

c) 4.99E-04 s

d) 6.05E-04 s

e) 7.33E-04 s

219) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 45° to the incoming axis of polarization. How much power is passed by the filter?

a) 9mW

b) 8mW

c) 3mW

d) 4mW

e) 6mW

220) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the longer side?

a) ${\tfrac {1}{2}}$

b) ${\tfrac {1}{4}}$

c) ${\tfrac {1}{\sqrt {2}}}$

d) ${\tfrac {3}{4}}$

e) ${\tfrac {\sqrt {3}}{2}}$

221) The diameter of a copper wire is 8.7 mm, and it carries a current of 22 amps. What is the drift velocity if copper has a density of 8.8E3 kg/m³ and an atomic mass of 63.54 g/mol? (1 mol = 6.02E23 atoms, and copper has one free electron per atom.)

a) 2.77 x 10^-5m/s

b) 3.36 x 10^-5m/s

c) 4.06 x 10^-5m/s

d) 4.92 x 10^-5m/s

e) 5.97 x 10^-5m/s

222)

This figure is associated with

a) Evidence presented in 1800 that light is a wave.

b) The transfer of energy and momentum of a high energy photon of a nearly free electron.

c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)

e) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)

223)

A parallel plate capacitor with a capicatnce C=9.40E-06 F whose plates have an area A=5.00E+03 m² and separation d=4.70E-03 m is connected via a swith to a 62 Ω resistor and a battery of voltage V₀=65 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=9.70E-04?

a) 1.985E-01 A

b) 2.183E-01 A

c) 2.401E-01 A

d) 2.642E-01 A

e) 2.906E-01 A

224)

The numbers (1,2,3) in the figure shown represent three currents flowing in or out of the page: I₁ and I₃ flow out of the page, and I₂ flows into the page, as shown. Two closed paths are shown, labeled $\beta$ and $\omega$. If I₁=2.61 kA, I₂=2.2 kA, and I₃=5.1 kA, take the $\beta$ path and evalulate the line integral,
  $\oint {\vec {B}}\cdot d{\vec {\ell }}$:

a) 3.644E-03 T-m

b) 4.009E-03 T-m

c) 4.410E-03 T-m

d) 4.850E-03 T-m

e) 5.336E-03 T-m

225) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it is blocked?

a) 1/4

b) 1

c) 0

d) 3/4

e) 1/2

226)

The silver ribbon shown are a=4.14 cm, b=3.69 cm, and c= 1.13 cm. The current carries a current of 291 A and it lies in a uniform magnetic field of 3.32 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hall potential between the edges of the ribbon.

a) 6.795E-06 V

b) 7.475E-06 V

c) 8.222E-06 V

d) 9.045E-06 V

e) 9.949E-06 V

227)

A cylinder of height 2.91 cm and radius 8.33 cm is cut into a wedge as shown. Now imagine that the volume grows as θ increases while the radius R and height h remains constant. What is the volume's rate of change if point P is 3.7 cm from point O and moves at a speed of 9.14 cm/s? Assume that the wedge grows in such a way as the front face moves by rotating around the axis (that contains point O.)
--(Answer & Why this question is different.)

a) 2.061E+02 cm³/s

b) 2.267E+02 cm³/s

c) 2.494E+02 cm³/s

d) 2.743E+02 cm³/s

e) 3.018E+02 cm³/s

228)

Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates

a) how a farsighted person might see an object that is too close for comfort

b) how a nearsighted person might see an object that is too close for comfort

c) how a nearsighted person might see a distant object

d) how a farsighted person might see a distant object

229) A line of charge density λ situated on the y axis extends from y = 4 to y = 6. What is the x component of the electric field at the point (5, 1)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {C}}=$:

a) 5

b) 1−s

c) s−1

d) 5−s

e) s−4

230) Blood is flowing at an average rate of 24.5 cm/s in an artery that has an inner diameter of 3.9 mm. What is the voltage across a hall probe placed across the inner diameter of the artery if the perpendicular magnetic field is 0.17 Tesla?

a) 5.14 x 10^-5 Volts

b) 1.62 x 10^-4 Volts

c) 5.14 x 10^-4 Volts

d) 1.62 x 10^-3 Volts

e) 5.14 x 10^-3 Volts

231) A line of charge density λ situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {F}}=$:

a) 1/2

b) 3/2

c) 2/3

d) 2

e) 3

232) What is the radiation force on an object that is 5.50E+11 m away from the sun and has cross-sectional area of 0.096 m²? The average power output of the Sun is 3.80E+26 W.

a) 4.373E-08 N

b) 4.810E-08 N

c) 5.291E-08 N

d) 5.820E-08 N

e) 6.402E-08 N

233) An induced emf of 5.4V is measured across a coil of 95 closely wound turns while the current throuth it increases uniformly from 0.0 to 7.03A in 0.713s. What is the self-inductance of the coil?

a) 5.477E-01 H

b) 6.024E-01 H

c) 6.627E-01 H

d) 7.290E-01 H

e) 8.019E-01 H

234) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 26 turns per centimeter and the current applied to the solenoid is 359 mA, the net magnetic field is measured to be 1.32 T. What is the magnetic susceptibility for this case?

a) $\chi {\text{ (chi) }}=$ 1.124E+03

b) $\chi {\text{ (chi) }}=$ 1.237E+03

c) $\chi {\text{ (chi) }}=$ 1.360E+03

d) $\chi {\text{ (chi) }}=$ 1.497E+03

e) $\chi {\text{ (chi) }}=$ 1.646E+03

235) A 6 C charge is separated from a 13 C charge by distance of 8 cm. What is the work done by increasing this separation to 16 cm?

a) 3.292E-06 J

b) 3.621E-06 J

c) 3.983E-06 J

d) 4.381E-06 J

e) 4.820E-06 J

236) H is defined by, B=μ₀H, where B is magnetic field. A current of 87A passes along the z-axis. Use symmetry to find the integral, $\int {\vec {H}}\cdot {\vec {d\ell }}$, from the point (0,9.3) to the point (9.3,0).

a) 2.18E+01 amps

b) 2.38E+01 amps

c) 2.61E+01 amps

d) 2.87E+01 amps

e) 3.14E+01 amps

237) A 5.7 ohm resistor is connected in series to a pair of 3.8 ohm resistors that are in parallel. What is the net resistance?

a) 5 ohms.

b) 5.7 ohms.

c) 6.6 ohms.

d) 7.6 ohms.

e) 8.7 ohms.

238) A make-believe metal has a density of 3.470E+03 kg/m³ and an atomic mass of 33.8 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 6.180E+28 e⁻/m³

b) 6.798E+28 e⁻/m³

c) 7.478E+28 e⁻/m³

d) 8.226E+28 e⁻/m³

e) 9.049E+28 e⁻/m³

239) A line of charge density λ situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {C}}=$

a) s−3

b) 3−s

c) 3

d) s−7

e) 7−s

240) The law of reflection applies to

a) only light in a vacuum

b) curved surfaces

c) flat surfaces

d) both flat and curved surfaces

e) telescopes but not microscopes

241)

Three wires sit at the corners of a square of length 0.705 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I₁, I₂, I₂) are (1.92 A, 1.14 A, 1.11 A), respectively. What is the x-component of the magnetic field at point P?

a) B_x= 4.333E-05 T

b) B_x= 4.766E-05 T

c) B_x= 5.243E-05 T

d) B_x= 5.767E-05 T

e) B_x= 6.343E-05 T

242) A line of charge density λ situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {C}}=$:

a) s−4

b) s−8

c) 4−s

d) 8−s

e) 4

243) A large thin isolated square plate has an area of 3 m². It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 1.694E+02 N/C

b) 1.864E+02 N/C

c) 2.050E+02 N/C

d) 2.255E+02 N/C

e) 2.480E+02 N/C

244) The charge passing a plane intersecting a wire is $Q_{M}=\left(1-e^{t/\tau }\right)$, where $Q_{M}$=30 C and $\tau =$0.0178 s. What is the current at $t=$0.0161 s?

a) 5.125E+02 A

b) 5.638E+02 A

c) 6.201E+02 A

d) 6.822E+02 A

e) 7.504E+02 A

245) A non-conducting sphere of radius R=3.1 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.2 (r≤R) where a=2 nC·m^-1.8. What is the magnitude of the electric field at a distance of 2.7 m from the center?

a) 4.782E+02 N/C

b) 5.260E+02 N/C

c) 5.787E+02 N/C

d) 6.365E+02 N/C

e) 7.002E+02 N/C

246) Calculate the motional emf induced along a 24.4 km conductor moving at an orbital speed of 7.79 km/s perpendicular to Earth's 4.790E-05 Tesla magnetic field.

a) 6.840E+03 V

b) 7.524E+03 V

c) 8.277E+03 V

d) 9.105E+03 V

e) 1.002E+04 V

247) A photon is polarized at 5° when it encounters a filter oriented at 65°. What is the probability that it is blocked?

a) 1/2

b) 1

c) 1/4

d) 0

e) 3/4

248)

 $E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx$
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.4 m. Evaluate $f(x,y)$ at x=1.1 m if a=0.69 m, b=2.2 m. The total charge on the rod is 6 nC.

a) 3.161E+00 V/m²

b) 3.477E+00 V/m²

c) 3.825E+00 V/m²

d) 4.208E+00 V/m²

e) 4.628E+00 V/m²

249) A 76 cm-long horizontal wire is maintained in static equilibrium by a horizontally directed magnetic field that is perpendicular to the wire (and to Earth's gravity). The mass of the wire is 13 g, and the magnitude of the magnetic field is 0.367 T. What current is required to maintain this balance?

a) 3.432E-01 A

b) 3.775E-01 A

c) 4.152E-01 A

d) 4.568E-01 A

e) 5.024E-01 A

250) An object of height 0.75 cm is placed 147 cm behind a diverging lens with a focal length of 86 cm. What is the height of the image?

a) 2.77 x 10^-1 cm

b) 3.32 x 10^-1 cm

c) 3.99 x 10^-1 cm

d) 4.78 x 10^-1 cm

e) 5.74 x 10^-1 cm

251) What angle does the electric field at the origin make with the x-axis if a 1.9 nC charge is placed at x = -5.4 m, and a 1.5 nC charge is placed at y = -7.1 m?

a) 1.38 x 10¹degrees

b) 1.59 x 10¹degrees

c) 1.84 x 10¹degrees

d) 2.13 x 10¹degrees

e) 2.45 x 10¹degrees

252) When light passes from glass to air

a) it bends away from the normal

b) the frequency increases

c) it bends towards the normal

d) it does not bend

e) the frequency decreases

253) A line of charge density λ situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where${\mathcal {F}}=$

a) 3/2

b) 1/2

c) 3

d) 2

254) A line of charge density λ situated on the y axis extends from y = 4 to y = 6. What is the y component of the electric field at the point (5, 1)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {C}}=$:

a) 1−s

b) 5

c) 5−s

d) s−4

e) s−1

255) If 10¹⁸ photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?

a) 6x10¹⁸

b) 2x10¹⁸

c) 10¹⁸

d) 4x10¹⁸

e) 8x10¹⁸

256) An ideal 3.1 V voltage source is connected to two resistors in parallel. One is 1.5$k\Omega$, and the other is 2.2 $k\Omega$. What is the current through the larger resistor?

a) 0.55 mA.

b) 0.63 mA.

c) 0.73 mA.

d) 0.84 mA.

e) 0.96 mA.

257) A resistor has 3 volts across it. Its resistance is 1.5 ohms. What is the current?

a) 1.5A

b) 12A

c) 2A

d) 3A

258) An object is placed 3.5 cm to the left of a diverging lens with a focal length of 5.6 cm. How far is the image from the lens?

a) 2.15 x 10^-1 cm

b) 3.83 x 10^-1 cm

c) 6.81 x 10^-1 cm

d) 1.21 x 10⁰ cm

e) 2.15 x 10⁰ cm

259) What is the current through R1, R2, R3, and R4 in the figure shown?

a) $I_{1}=0.25A$; $I_{2}=0.33A$; $I_{3}=0.5A$; $I_{4}=0.1A$.

b) $I_{1}=1A$; $I_{2}=5A$; $I_{3}=3.3A$; $I_{4}=2.5A$.

c) $I_{1}=1A$; $I_{2}=0.5A$; $I_{3}=0.33A$; $I_{4}=0.25A$.

d) $I_{1}=10A$; $I_{2}=50A$; $I_{3}=33A$; $I_{4}=25A$..

260) The focal point is where

a) rays meet whenever they pass through a lens

b) the center of the lens

c) rays meet whenever they are forming an image

d) rays meet if they were parallel to the optical axis before striking a lens

e) rays meet if they are parallel to each other

261) If an atom absorbs a photon with 2 eV energy, the atom's energy

a) increases by 2 eV

b) stays the same

c) increases by 4 eV

d) decreases by 4 eV

e) decreases by 2 eV

ALL A2

1)

Suppose switch S₁ in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S₁ is opened as as S₂ is closed. How long will it take for the energy stored in the inductor to be reduced to 1.96% of its maximum value if ε = 2.64 V , R = 6.37 Ω, and L = 7.33 H?

a) -1.700E+00 s

b) -1.870E+00 s

c) -2.057E+00 s

d) -2.262E+00 s

e) -2.489E+00 s

2) A 1.4 Farad capacitor is charged with 2.3 Coulombs. What is the value of the electric field if the plates are 0.6 mm apart?

a) 1.57 kV/m.

b) 1.8 kV/m.

c) 2.07 kV/m.

d) 2.38 kV/m.

e) 2.74 kV/m.

3)

Two sources of emf ε₁=24.9 V, and ε₂=10.1 V are oriented as shownin the circuit. The resistances are R₁=2.32 kΩ and R₂=2.31 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I₃=2.74 mA and I₄=0.444 mA enter and leave near R₂, while the current I₅ exits near R₁.What is the magnitude (absolute value) of I₅?

a) 1.725E+00 mA

b) 1.898E+00 mA

c) 2.087E+00 mA

d) 2.296E+00 mA

e) 2.526E+00 mA

4) After passing through a the lens of a camera or the eye, the focal point is defined as where the rays meet.

a) true

b) false

5) Two parallel wires each carry a 2.58 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.79 cm, 1.03 cm), while the other is located at (5.64 cm, 5.12 cm). What is the force per unit length between the wires?

a) 2.634E-11 N/m

b) 2.897E-11 N/m

c) 3.187E-11 N/m

d) 3.506E-11 N/m

e) 3.856E-11 N/m

6) You solitaire deck uses ♥ ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5♥. If the questions were Q♠ and Q♣. Which of the following wins?

a) K♥ and K♠

b) none of these are true

c) K♥ and K♣

d) K♠ and K♣

e) two of these are true

7) An object of height 0.64 cm is placed 112 cm behind a diverging lens with a focal length of 65 cm. What is the height of the image?

a) 1.36 x 10^-1 cm

b) 1.63 x 10^-1 cm

c) 1.96 x 10^-1 cm

d) 2.35 x 10^-1 cm

e) 2.82 x 10^-1 cm

8) A 171 Watt DC motor draws 0.47 amps of current. What is effective resistance?

a) 7.74 x 10² Ω

b) 9.38 x 10² Ω

c) 1.14 x 10³ Ω

d) 1.38 x 10³ Ω

e) 1.67 x 10³ Ω

9) A photon is polarized at 10° when it encounters a filter oriented at 55°. What is the probability that it passes?

a) 1

b) 1/2

c) 3/4

d) 0

e) 1/4

10) If you play the solitaire game 3 times, you will on average win ___ times.

a) 4

b) 3

c) 2

d) 5

e) 1

11) The output of an ac generator connected to an RLC series combination has a frequency of 810 Hz and an amplitude of 0.64 V;. If R =6 Ω, L= 8.70E-03H , and C=8.20E-04 F, what is the impedance?

a) 4.444E+01 Ω

b) 4.889E+01 Ω

c) 5.378E+01 Ω

d) 5.916E+01 Ω

e) 6.507E+01 Ω

12) A 1 ohm, 2 ohm, and 3 ohm resistor are connected in series. What is the total resistance?

a) $R_{Total}=6\Omega$.

b) None of these are true.

c) $R_{Total}=0.5454\Omega$.

d) $R_{Total}=3\Omega$.

13) A sphere has a uniform charge density of $\rho$, and a radius equal to R. What formula describes the electric field at a distance r < R?

a) $r^{2}\varepsilon _{0}E=R^{3}\rho /3$

b) $r^{2}\varepsilon _{0}E=R^{3}\rho /2$

c) $r^{2}\varepsilon _{0}E=r^{3}\rho /2$

d) none of these are correct

e) $r^{2}\varepsilon _{0}E=r^{3}\rho /3$

14) The current through the windings of a solenoid with n= 2.220E+03 turns per meter is changing at a rate dI/dt=10 A/s. The solenoid is 70 cm long and has a cross-sectional diameter of 2.73 cm. A small coil consisting of N=28turns wraped in a circle of diameter 1.45 cm is placed in the middle of the solenoid such that the plane of the coil is perpendicular to the central axis of the solenoid. Assume that the infinite-solenoid approximation is valid inside the small coil. What is the emf induced in the coil?

a) 1.066E-04 V

b) 1.173E-04 V

c) 1.290E-04 V

d) 1.419E-04 V

e) 1.561E-04 V

15) In optics, normal means

a) perpendicular to the surface

b) to the left of the optical axis

c) parallel to the surface

d) to the right of the optical axis

16) What is the radiation pressure on an object that is 9.30E+11 m away from the sun and has cross-sectional area of 0.019 m²? The average power output of the Sun is 3.80E+26 W.

a) 2.332E-07 N/m²

b) 2.566E-07 N/m²

c) 2.822E-07 N/m²

d) 3.104E-07 N/m²

e) 3.415E-07 N/m²

17)

Suppose switch S₁ is suddenly closed at time t=0 in the figure shown. What is the current at t =6.01 s if ε = 5.75 V , R = 5.73 Ω, and L = 7.46 H?

a) 9.936E-01 V

b) 1.192E+00 V

c) 1.431E+00 V

d) 1.717E+00 V

e) 2.060E+00 V

18) An loop of wire with 54 turns has a radius of 0.8 meters, and is oriented with its axis parallel to a magetic field of 0.86 Tesla. What is the induced voltage if this field is reduced to 46% of its original value in 2.4 seconds?

a) 1.43 x 10¹ volts

b) 1.73 x 10¹ volts

c) 2.1 x 10¹ volts

d) 2.55 x 10¹ volts

e) 3.08 x 10¹ volts

19) Two identical resistors are connected in series. The voltage across both of them is 250 volts. What is the voltage across each one?

a) $R_{1}=250V$ and $R_{2}=0V$.

b) $R_{1}=150V$ and $R_{2}=100V$.

c) $R_{1}=125V$ and $R_{2}=125V$.

d) None of these are true.

20)

Calculate the quantum correlation:
C(♠,♦) = ?
Assume the dots represent five observations.

a) +1/5

b) −2/5

c) −1/5

d) +2/5

e) 0

f) +1

21) A 10 F capacitor is connected in series to a 10Ω resistor. If the capacitor is discharged, how long does it take to fall by a factor of e⁴? (where e =2.7...)

a) 4 x 10⁰ s.

b) 1.26 x 10¹ s.

c) 4 x 10¹ s.

d) 1.26 x 10² s.

e) 4 x 10² s.

22)

Calculate the measured quantum correlation:
C(♠,♥) = ?
Assume the dots represent five observations.

a) −2/5

b) +2/5

c) −1/5

d) +1/5

e) +1

f) 0

23) A cylinder of radius, R, and height H has a uniform charge density of $\rho$. The height is much greater than the radius: H >> R. The electric field at the center vanishes. What formula describes the electric field at a distance, r, radially from the center if r < R?

a) $2r^{2}\varepsilon _{0}E=R^{3}\rho$

b) $2\varepsilon _{0}E=r\rho$

c) $2R\varepsilon _{0}E=r^{2}\rho$

d) $2r\varepsilon _{0}E=R^{2}\rho$

e) none of these are correct

24) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E

a) is reduced by a factor of 4

b) stays the same

c) becomes 4 times as big

d) is cut in half

e) becomes twice as big

25) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created

a) both can be created

b) electromagnetic or pendulum

c) pendulum

d) electromagnetic

26)  $E(z)=\int _{0}^{R}f(r',z)dr'$
is an integral that calculates the magnitude of the electric field at a distance $z$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is $R=2.8{\text{ m}}$ and the surface charge density is $\sigma =3{\text{ nC/m}}^{3}$. Evaluate $f(r',z)$ at $r'=1.9{\text{ m}}$.

a) 4.295E+00 V/m²

b) 4.724E+00 V/m²

c) 5.196E+00 V/m²

d) 5.716E+00 V/m²

e) 6.288E+00 V/m²

27) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30° to the incoming axis of polarization. How much power passes the filter?

a) 3mW

b) 4mW

c) 6mW

d) 9mW

e) 8mW

28) H is defined by, B=μ₀H, where B is magnetic field. A current of 93A passes along the z-axis. Use symmetry to find the integral, $\int {\vec {H}}\cdot {\vec {d\ell }}$, from (-∞,4.1) to (+∞,4.1).

a) 3.53E+01 amps

b) 3.87E+01 amps

c) 4.24E+01 amps

d) 4.65E+01 amps

e) 5.10E+01 amps

29)

Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates

a) how a nearsighted person might see an object that is too close for comfort

b) how a farsighted person might see an object that is too close for comfort

c) how a farsighted person might see a distant object

d) how a nearsighted person might see a distant object

30) What angle does the electric field at the origin make with the x-axis if a 1.8 nC charge is placed at x = -6.9 m, and a 2.5 nC charge is placed at y = -7.5 m?

a) 2.79 x 10¹degrees

b) 3.22 x 10¹degrees

c) 3.72 x 10¹degrees

d) 4.3 x 10¹degrees

e) 4.96 x 10¹degrees

31)

This figure is associated with

a) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

b) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)

c) Evidence presented in 1800 that light is a wave.

d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)

e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

32)

In the figure shown C₁=15.0 μF, C₂=2.65 μF, and C₃=5.67 μF. The voltage source provides ε=7.44 V. What is the charge on C₁?

a) 3.982E+01 μC

b) 4.380E+01 μC

c) 4.818E+01 μC

d) 5.300E+01 μC

e) 5.829E+01 μC

33) A line of charge density λ situated on the y axis extends from y = -3 to y = 2. What is the y component of the electric field at the point (3, 7)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {B}}=$

a) 2

b) −3

c) −7

d) −3

e) 3

34) A washer has an inner diameter of 2.74 cm and an outer diamter of 4.71 cm. The thickness is $h=Cr^{-n}$ where $r$ is measured in cm, $C=3.9mm$, and $n=2.85$. What is the volume of the washer?

a) 8.141E-01 cm³

b) 8.955E-01 cm³

c) 9.850E-01 cm³

d) 1.084E+00 cm³

e) 1.192E+00 cm³

35) Three 1 ohm resistors are connected in parallel. What is the total resistance?

a) ${\frac {1}{3}}\Omega$.

b) $3\Omega$.

c) ${\frac {3}{2}}\Omega$.

d) ${\frac {2}{3}}\Omega$.

36) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 9.7 nano-Coulombs. What is the magnitude of the electric field at a distance of 4.4 m from the center of the shells?

a) 1.491E+01 N/C

b) 1.640E+01 N/C

c) 1.804E+01 N/C

d) 1.984E+01 N/C

e) 2.182E+01 N/C

37) Calculate the electric field in a 12-gauge copper wire that is 13 m long and carries a current of 59 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm².

a) 2.250E-04 V/m

b) 2.475E-04 V/m

c) 2.722E-04 V/m

d) 2.995E-04 V/m

e) 3.294E-04 V/m

38) A 0.5 Farad capacitor charged with 1.6 Coulombs. What is the energy stored in the capacitor if the plates are 0.7 mm apart?

a) 2.23 J.

b) 2.56 J.

c) 2.94 J.

d) 3.39 J.

e) 3.89 J.

39) A recangular coil with an area of 0.45 m² and 18 turns is placed in a uniform magnetic field of 2.68 T. The coil is rotated about an axis that is perpendicular to this field. At time t=0 the normal to the coil is oriented parallel to the magnetic field and the coil is rotating with a constant angular frequency of 3.730E+03 s⁻¹. What is the magnitude (absolute value) of the induced emf at t = 87 s?

a) 4.861E+04 V

b) 5.347E+04 V

c) 5.882E+04 V

d) 6.470E+04 V

e) 7.117E+04 V

40) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field.A 12 mW laser strikes a polarizing filter oriented 30° to the incoming axis of polarization. How much power is blocked by the filter?

a) 3mW

b) 8mW

c) 4mW

d) 9mW

e) 6mW

41) A 65 μF capacitor is connected in series to a 414 kΩ resistor. If the capacitor is discharged, how long does it take to fall by a factor of e⁴? (where e =2.7...)

a) 1.08 x 10¹ s.

b) 3.4 x 10¹ s.

c) 1.08 x 10² s.

d) 3.4 x 10² s.

e) 1.08 x 10³ s.

42) An object is placed 4.65 cm to the left of a converging lens with a focal length of 6.2 cm. How far is the image from the lens?

a) 1.86 x 10⁰ cm

b) 3.31 x 10⁰ cm

c) 5.88 x 10⁰ cm

d) 1.05 x 10¹ cm

e) 1.86 x 10¹ cm

43)

Shown is a corrective lens by a person who needs glasses. This ray diagram illustrates

a) how a nearsighted person might see an object that is too close for comfort

b) how a farsighted person might see an object that is too close for comfort

c) how a farsighted person might see a distant object

d) how a nearsighted person might see a distant object

44)

A parallel plate capacitor with a capicatnce C=3.20E-06 F whose plates have an area A=2.80E+03 m² and separation d=7.80E-03 m is connected via a swith to a 17 Ω resistor and a battery of voltage V₀=94 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=2.20E-04?

a) 8.809E-02 A

b) 9.690E-02 A

c) 1.066E-01 A

d) 1.173E-01 A

e) 1.290E-01 A

45) A line of charge density λ situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {A}}=$:

a) 8

b) 4

c) 1/2

d) 2

46)

Two sources of emf ε₁=36.7 V, and ε₂=13.6 V are oriented as shownin the circuit. The resistances are R₁=2.86 kΩ and R₂=2.2 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I₃=3.02 mA and I₄=0.854 mA enter and leave near R₂, while the current I₅ exits near R₁.What is the magnitude (absolute value) of voltage drop across R₂?

a) 1.380E+01 V

b) 1.518E+01 V

c) 1.670E+01 V

d) 1.837E+01 V

e) 2.020E+01 V

47) A line of charge density λ situated on the x axis extends from x = 4 to x = 8. What is the y component of the electric field at the point (8, 4)?
$Answer$ (assuming ${\mathcal {B}}>{\mathcal {A}}$) $is:{\frac {1}{4\pi \epsilon _{0}}}\int _{\mathcal {A}}^{\mathcal {B}}{\frac {{\mathcal {C}}\;\lambda ds}{\left[{\mathcal {D}}^{2}+{\mathcal {E}}^{2}\right]^{\mathcal {F}}\;}}$, where ${\mathcal {C}}=$:

a) s−8

b) s−4

c) 4

d) 4−s

e) 8−s

48) A cylinder of radius, R, and height H has a uniform charge density of $\rho$. The height is much less than the radius: H << R. The electric field at the center vanishes. What formula describes the electric field at a distance, z, on axis from the center if z < H/2?

a) $\varepsilon _{0}E=H\rho z$

b) $\varepsilon _{0}E=\rho z$