Quizbank/Electricity and Magnetism (calculus based)/QB153089888064

QB153089888064

QB:Ch 5:V0

QB153089888064

1)

A ring is uniformly charged with a net charge of 9 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=0.73 m (on axis) away from the loop's center?

a) 7.415E+09 N/C²

b) 8.156E+09 N/C²

c) 8.972E+09 N/C²

d) 9.869E+09 N/C²

e) 1.086E+10 N/C²

2)

 $E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx$
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=1.9 m. Evaluate $f(x,y)$ at x=0.54 m if a=1.0 m, b=2.0 m. The total charge on the rod is 3 nC.

a) 1.665E+00 V/m²

b) 1.831E+00 V/m²

c) 2.014E+00 V/m²

d) 2.216E+00 V/m²

e) 2.437E+00 V/m²

3)

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 $q_{1}=2e$, $q_{2}=-9e$, and $q_{3}=4e$?

a) 5.243E+01 degrees

b) 5.767E+01 degrees

c) 6.343E+01 degrees

d) 6.978E+01 degrees

e) 7.676E+01 degrees

KEY:QB:Ch 5:V0

QB153089888064

1)

A ring is uniformly charged with a net charge of 9 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=0.73 m (on axis) away from the loop's center?

-a) 7.415E+09 N/C²

-b) 8.156E+09 N/C²

-c) 8.972E+09 N/C²

-d) 9.869E+09 N/C²

+e) 1.086E+10 N/C²

2)

 $E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx$
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=1.9 m. Evaluate $f(x,y)$ at x=0.54 m if a=1.0 m, b=2.0 m. The total charge on the rod is 3 nC.

-a) 1.665E+00 V/m²

-b) 1.831E+00 V/m²

-c) 2.014E+00 V/m²

+d) 2.216E+00 V/m²

-e) 2.437E+00 V/m²

3)

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 $q_{1}=2e$, $q_{2}=-9e$, and $q_{3}=4e$?

-a) 5.243E+01 degrees

-b) 5.767E+01 degrees

+c) 6.343E+01 degrees

-d) 6.978E+01 degrees

-e) 7.676E+01 degrees

QB:Ch 5:V1

QB153089888064

1)

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

2)

Three small charged objects are placed as shown, where $b=2a$, and $a=4\times 10^{-7}{\text{m}}$.what angle does the force on $q_{2}$ make above the $-x$ axis if $q_{1}=3e$, $q_{2}=-8e$, and $q_{3}=6e$?

a) 5.243E+01 degrees

b) 5.767E+01 degrees

c) 6.343E+01 degrees

d) 6.978E+01 degrees

e) 7.676E+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=1.6 m. Evaluate $f(x,y)$ at x=0.73 m if a=0.64 m, b=1.8 m. The total charge on the rod is 3 nC.

a) 2.955E+00 V/m²

b) 3.250E+00 V/m²

c) 3.575E+00 V/m²

d) 3.933E+00 V/m²

e) 4.326E+00 V/m²

KEY:QB:Ch 5:V1

QB153089888064

1)

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

2)

Three small charged objects are placed as shown, where $b=2a$, and $a=4\times 10^{-7}{\text{m}}$.what angle does the force on $q_{2}$ make above the $-x$ axis if $q_{1}=3e$, $q_{2}=-8e$, and $q_{3}=6e$?

-a) 5.243E+01 degrees

-b) 5.767E+01 degrees

+c) 6.343E+01 degrees

-d) 6.978E+01 degrees

-e) 7.676E+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=1.6 m. Evaluate $f(x,y)$ at x=0.73 m if a=0.64 m, b=1.8 m. The total charge on the rod is 3 nC.

-a) 2.955E+00 V/m²

+b) 3.250E+00 V/m²

-c) 3.575E+00 V/m²

-d) 3.933E+00 V/m²

-e) 4.326E+00 V/m²

QB:Ch 5:V2

QB153089888064

1)

 $E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx$
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=1.9 m. Evaluate $f(x,y)$ at x=0.96 m if a=0.95 m, b=1.8 m. The total charge on the rod is 7 nC.

a) 3.385E+00 V/m²

b) 3.724E+00 V/m²

c) 4.096E+00 V/m²

d) 4.506E+00 V/m²

e) 4.957E+00 V/m²

2)

A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.5 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=0.33 m (on axis) away from the loop's center?

a) 1.353E+09 N/C²

b) 1.488E+09 N/C²

c) 1.637E+09 N/C²

d) 1.801E+09 N/C²

e) 1.981E+09 N/C²

3)

Three small charged objects are placed as shown, where $b=2a$, and $a=4\times 10^{-7}{\text{m}}$.what angle does the force on $q_{2}$ make above the $-x$ axis if $q_{1}=3e$, $q_{2}=-8e$, and $q_{3}=6e$?

a) 5.243E+01 degrees

b) 5.767E+01 degrees

c) 6.343E+01 degrees

d) 6.978E+01 degrees

e) 7.676E+01 degrees

KEY:QB:Ch 5:V2

QB153089888064

1)

 $E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx$
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=1.9 m. Evaluate $f(x,y)$ at x=0.96 m if a=0.95 m, b=1.8 m. The total charge on the rod is 7 nC.

-a) 3.385E+00 V/m²

-b) 3.724E+00 V/m²

-c) 4.096E+00 V/m²

+d) 4.506E+00 V/m²

-e) 4.957E+00 V/m²

2)

A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.5 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=0.33 m (on axis) away from the loop's center?

-a) 1.353E+09 N/C²

-b) 1.488E+09 N/C²

+c) 1.637E+09 N/C²

-d) 1.801E+09 N/C²

-e) 1.981E+09 N/C²

3)

Three small charged objects are placed as shown, where $b=2a$, and $a=4\times 10^{-7}{\text{m}}$.what angle does the force on $q_{2}$ make above the $-x$ axis if $q_{1}=3e$, $q_{2}=-8e$, and $q_{3}=6e$?

-a) 5.243E+01 degrees

-b) 5.767E+01 degrees

+c) 6.343E+01 degrees

-d) 6.978E+01 degrees

-e) 7.676E+01 degrees

QB:Ch 6:V0

QB153089888064

1) 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

2) 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=8, y=0), (x=0, y=8), and (x=8, y=8), where x and y are measured in meters. The electric field is,
${\vec {E}}=1y^{2.8}{\hat {i}}+5x^{2.7}{\hat {j}}+5y^{1.6}{\hat {k}}$

a) 3.429E+03 V·m

b) 3.771E+03 V·m

c) 4.149E+03 V·m

d) 4.564E+03 V·m

e) 5.020E+03 V·m

3) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 5.6 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.6 m from the center of the shells?

a) 6.641E+00 N/C

b) 7.305E+00 N/C

c) 8.036E+00 N/C

d) 8.839E+00 N/C

e) 9.723E+00 N/C

KEY:QB:Ch 6:V0

QB153089888064

1) 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

2) 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=8, y=0), (x=0, y=8), and (x=8, y=8), where x and y are measured in meters. The electric field is,
${\vec {E}}=1y^{2.8}{\hat {i}}+5x^{2.7}{\hat {j}}+5y^{1.6}{\hat {k}}$

+a) 3.429E+03 V·m

-b) 3.771E+03 V·m

-c) 4.149E+03 V·m

-d) 4.564E+03 V·m

-e) 5.020E+03 V·m

3) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 5.6 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.6 m from the center of the shells?

-a) 6.641E+00 N/C

-b) 7.305E+00 N/C

+c) 8.036E+00 N/C

-d) 8.839E+00 N/C

-e) 9.723E+00 N/C

QB:Ch 6:V1

QB153089888064

1) 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=3), and (x=4, y=3), where x and y are measured in meters. The electric field is,
${\vec {E}}=2y^{2.7}{\hat {i}}+2x^{2.9}{\hat {j}}+2y^{2.0}{\hat {k}}$

a) 7.200E+01 V·m

b) 7.920E+01 V·m

c) 8.712E+01 V·m

d) 9.583E+01 V·m

e) 1.054E+02 V·m

2) 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

3) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 6.5 nano-Coulombs. What is the magnitude of the electric field at a distance of 1.3 m from the center of the shells?

a) 2.601E+01 N/C

b) 2.861E+01 N/C

c) 3.147E+01 N/C

d) 3.462E+01 N/C

e) 3.808E+01 N/C

KEY:QB:Ch 6:V1

QB153089888064

1) 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=3), and (x=4, y=3), where x and y are measured in meters. The electric field is,
${\vec {E}}=2y^{2.7}{\hat {i}}+2x^{2.9}{\hat {j}}+2y^{2.0}{\hat {k}}$

+a) 7.200E+01 V·m

-b) 7.920E+01 V·m

-c) 8.712E+01 V·m

-d) 9.583E+01 V·m

-e) 1.054E+02 V·m

2) 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

3) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 6.5 nano-Coulombs. What is the magnitude of the electric field at a distance of 1.3 m from the center of the shells?

-a) 2.601E+01 N/C

-b) 2.861E+01 N/C

-c) 3.147E+01 N/C

+d) 3.462E+01 N/C

-e) 3.808E+01 N/C

QB:Ch 6:V2

QB153089888064

1) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 3.4 nano-Coulombs. What is the magnitude of the electric field at a distance of 2.8 m from the center of the shells?

a) 5.865E+00 N/C

b) 6.451E+00 N/C

c) 7.096E+00 N/C

d) 7.806E+00 N/C

e) 8.587E+00 N/C

2) 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

3) A non-conducting sphere of radius R=3.8 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.5 (r≤R) where a=2 nC·m^-1.5. What is the magnitude of the electric field at a distance of 3.0 m from the center?

a) 7.825E+02 N/C

b) 8.607E+02 N/C

c) 9.468E+02 N/C

d) 1.041E+03 N/C

e) 1.146E+03 N/C

KEY:QB:Ch 6:V2

QB153089888064

1) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 3.4 nano-Coulombs. What is the magnitude of the electric field at a distance of 2.8 m from the center of the shells?

-a) 5.865E+00 N/C

-b) 6.451E+00 N/C

-c) 7.096E+00 N/C

+d) 7.806E+00 N/C

-e) 8.587E+00 N/C

2) 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

3) A non-conducting sphere of radius R=3.8 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^1.5 (r≤R) where a=2 nC·m^-1.5. What is the magnitude of the electric field at a distance of 3.0 m from the center?

+a) 7.825E+02 N/C

-b) 8.607E+02 N/C

-c) 9.468E+02 N/C

-d) 1.041E+03 N/C

-e) 1.146E+03 N/C

QB:Ch 7:V0

QB153089888064

1) A 12.0 V battery can move 40,000 C of charge. How many Joules does it deliver?

a) 3.278E+05 J

b) 3.606E+05 J

c) 3.967E+05 J

d) 4.364E+05 J

e) 4.800E+05 J

2) When a 3.63 V battery operates a 1.34 W bulb, how many electrons pass through it each second?

a) 2.095E+18 electrons

b) 2.304E+18 electrons

c) 2.534E+18 electrons

d) 2.788E+18 electrons

e) 3.067E+18 electrons

3) Two large parallel conducting plates are separated by 7.81 mm. Equal and opposite surface charges of 7.440E-07 C/m² exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 80 V?

a) 9.521E-01 mm

b) 1.095E+00 mm

c) 1.259E+00 mm

d) 1.448E+00 mm

e) 1.665E+00 mm

KEY:QB:Ch 7:V0

QB153089888064

1) A 12.0 V battery can move 40,000 C of charge. How many Joules does it deliver?

-a) 3.278E+05 J

-b) 3.606E+05 J

-c) 3.967E+05 J

-d) 4.364E+05 J

+e) 4.800E+05 J

2) When a 3.63 V battery operates a 1.34 W bulb, how many electrons pass through it each second?

-a) 2.095E+18 electrons

+b) 2.304E+18 electrons

-c) 2.534E+18 electrons

-d) 2.788E+18 electrons

-e) 3.067E+18 electrons

3) Two large parallel conducting plates are separated by 7.81 mm. Equal and opposite surface charges of 7.440E-07 C/m² exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 80 V?

+a) 9.521E-01 mm

-b) 1.095E+00 mm

-c) 1.259E+00 mm

-d) 1.448E+00 mm

-e) 1.665E+00 mm

QB:Ch 7:V1

QB153089888064

1) Two large parallel conducting plates are separated by 7.01 mm. Equal and opposite surface charges of 7.330E-07 C/m² exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 55 V?

a) 3.799E-01 mm

b) 4.368E-01 mm

c) 5.024E-01 mm

d) 5.777E-01 mm

e) 6.644E-01 mm

2) A 12.0 V battery can move 32,000 C of charge. How many Joules does it deliver?

a) 2.885E+05 J

b) 3.174E+05 J

c) 3.491E+05 J

d) 3.840E+05 J

e) 4.224E+05 J

3) When a 3.21 V battery operates a 2.38 W bulb, how many electrons pass through it each second?

a) 3.161E+18 electrons

b) 3.477E+18 electrons

c) 3.825E+18 electrons

d) 4.207E+18 electrons

e) 4.628E+18 electrons

KEY:QB:Ch 7:V1

QB153089888064

1) Two large parallel conducting plates are separated by 7.01 mm. Equal and opposite surface charges of 7.330E-07 C/m² exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 55 V?

-a) 3.799E-01 mm

-b) 4.368E-01 mm

-c) 5.024E-01 mm

-d) 5.777E-01 mm

+e) 6.644E-01 mm

2) A 12.0 V battery can move 32,000 C of charge. How many Joules does it deliver?

-a) 2.885E+05 J

-b) 3.174E+05 J

-c) 3.491E+05 J

+d) 3.840E+05 J

-e) 4.224E+05 J

3) When a 3.21 V battery operates a 2.38 W bulb, how many electrons pass through it each second?

-a) 3.161E+18 electrons

-b) 3.477E+18 electrons

-c) 3.825E+18 electrons

-d) 4.207E+18 electrons

+e) 4.628E+18 electrons

QB:Ch 7:V2

QB153089888064

1) Two large parallel conducting plates are separated by 7.83 mm. Equal and opposite surface charges of 7.530E-07 C/m² exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 86 V?

a) 8.793E-01 mm

b) 1.011E+00 mm

c) 1.163E+00 mm

d) 1.337E+00 mm

e) 1.538E+00 mm

2) When a 7.1 V battery operates a 1.8 W bulb, how many electrons pass through it each second?

a) 1.439E+18 electrons

b) 1.582E+18 electrons

c) 1.741E+18 electrons

d) 1.915E+18 electrons

e) 2.106E+18 electrons

3) A 12.0 V battery can move 32,000 C of charge. How many Joules does it deliver?

a) 2.885E+05 J

b) 3.174E+05 J

c) 3.491E+05 J

d) 3.840E+05 J

e) 4.224E+05 J

KEY:QB:Ch 7:V2

QB153089888064

1) Two large parallel conducting plates are separated by 7.83 mm. Equal and opposite surface charges of 7.530E-07 C/m² exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 86 V?

-a) 8.793E-01 mm

+b) 1.011E+00 mm

-c) 1.163E+00 mm

-d) 1.337E+00 mm

-e) 1.538E+00 mm

2) When a 7.1 V battery operates a 1.8 W bulb, how many electrons pass through it each second?

-a) 1.439E+18 electrons

+b) 1.582E+18 electrons

-c) 1.741E+18 electrons

-d) 1.915E+18 electrons

-e) 2.106E+18 electrons

3) A 12.0 V battery can move 32,000 C of charge. How many Joules does it deliver?

-a) 2.885E+05 J

-b) 3.174E+05 J

-c) 3.491E+05 J

+d) 3.840E+05 J

-e) 4.224E+05 J

QB:Ch 8:V0

QB153089888064

1)

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

2) An empty parallel-plate capacitor with metal plates has an area of 1.73 m², separated by 1.16 mm. How much charge does it store if the voltage is 1.130E+03 V?

a) 1.121E+01 μC

b) 1.233E+01 μC

c) 1.357E+01 μC

d) 1.492E+01 μC

e) 1.641E+01 μC

3)

In the figure shown C₁=19.2 μF, C₂=2.24 μF, and C₃=4.93 μF. The voltage source provides ε=11.7 V. What is the energy stored in C₂?

a) 1.303E+01 μJ

b) 1.434E+01 μJ

c) 1.577E+01 μJ

d) 1.735E+01 μJ

e) 1.908E+01 μJ

KEY:QB:Ch 8:V0

QB153089888064

1)

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

2) An empty parallel-plate capacitor with metal plates has an area of 1.73 m², separated by 1.16 mm. How much charge does it store if the voltage is 1.130E+03 V?

-a) 1.121E+01 μC

-b) 1.233E+01 μC

-c) 1.357E+01 μC

+d) 1.492E+01 μC

-e) 1.641E+01 μC

3)

In the figure shown C₁=19.2 μF, C₂=2.24 μF, and C₃=4.93 μF. The voltage source provides ε=11.7 V. What is the energy stored in C₂?

-a) 1.303E+01 μJ

-b) 1.434E+01 μJ

-c) 1.577E+01 μJ

-d) 1.735E+01 μJ

+e) 1.908E+01 μJ

QB:Ch 8:V1

QB153089888064

1)

What is the net capacitance if C₁=2.96 μF, C₂=3.95 μF, and C₃=3.74 μF in the configuration shown?

a) 4.489E+00 μF

b) 4.938E+00 μF

c) 5.432E+00 μF

d) 5.975E+00 μF

e) 6.573E+00 μF

2) An empty parallel-plate capacitor with metal plates has an area of 1.94 m², separated by 1.27 mm. How much charge does it store if the voltage is 8.780E+03 V?

a) 1.080E+02 μC

b) 1.188E+02 μC

c) 1.306E+02 μC

d) 1.437E+02 μC

e) 1.581E+02 μC

3)

In the figure shown C₁=16.1 μF, C₂=2.14 μF, and C₃=5.76 μF. The voltage source provides ε=8.35 V. What is the energy stored in C₂?

a) 1.199E+01 μJ

b) 1.319E+01 μJ

c) 1.450E+01 μJ

d) 1.595E+01 μJ

e) 1.755E+01 μJ

KEY:QB:Ch 8:V1

QB153089888064

1)

What is the net capacitance if C₁=2.96 μF, C₂=3.95 μF, and C₃=3.74 μF in the configuration shown?

-a) 4.489E+00 μF

-b) 4.938E+00 μF

+c) 5.432E+00 μF

-d) 5.975E+00 μF

-e) 6.573E+00 μF

2) An empty parallel-plate capacitor with metal plates has an area of 1.94 m², separated by 1.27 mm. How much charge does it store if the voltage is 8.780E+03 V?

-a) 1.080E+02 μC

+b) 1.188E+02 μC

-c) 1.306E+02 μC

-d) 1.437E+02 μC

-e) 1.581E+02 μC

3)

In the figure shown C₁=16.1 μF, C₂=2.14 μF, and C₃=5.76 μF. The voltage source provides ε=8.35 V. What is the energy stored in C₂?

+a) 1.199E+01 μJ

-b) 1.319E+01 μJ

-c) 1.450E+01 μJ

-d) 1.595E+01 μJ

-e) 1.755E+01 μJ

QB:Ch 8:V2

QB153089888064

1)

In the figure shown C₁=16.3 μF, C₂=2.17 μF, and C₃=4.67 μF. The voltage source provides ε=8.35 V. What is the energy stored in C₂?

a) 8.718E+00 μJ

b) 9.589E+00 μJ

c) 1.055E+01 μJ

d) 1.160E+01 μJ

e) 1.276E+01 μJ

2)

What is the net capacitance if C₁=4.75 μF, C₂=2.77 μF, and C₃=2.47 μF in the configuration shown?

a) 4.220E+00 μF

b) 4.642E+00 μF

c) 5.106E+00 μF

d) 5.616E+00 μF

e) 6.178E+00 μF

3) An empty parallel-plate capacitor with metal plates has an area of 2.16 m², separated by 1.12 mm. How much charge does it store if the voltage is 1.530E+03 V?

a) 2.375E+01 μC

b) 2.613E+01 μC

c) 2.874E+01 μC

d) 3.161E+01 μC

e) 3.477E+01 μC

KEY:QB:Ch 8:V2

QB153089888064

1)

In the figure shown C₁=16.3 μF, C₂=2.17 μF, and C₃=4.67 μF. The voltage source provides ε=8.35 V. What is the energy stored in C₂?

-a) 8.718E+00 μJ

-b) 9.589E+00 μJ

-c) 1.055E+01 μJ

-d) 1.160E+01 μJ

+e) 1.276E+01 μJ

2)

What is the net capacitance if C₁=4.75 μF, C₂=2.77 μF, and C₃=2.47 μF in the configuration shown?

+a) 4.220E+00 μF

-b) 4.642E+00 μF

-c) 5.106E+00 μF

-d) 5.616E+00 μF

-e) 6.178E+00 μF

3) An empty parallel-plate capacitor with metal plates has an area of 2.16 m², separated by 1.12 mm. How much charge does it store if the voltage is 1.530E+03 V?

-a) 2.375E+01 μC

+b) 2.613E+01 μC

-c) 2.874E+01 μC

-d) 3.161E+01 μC

-e) 3.477E+01 μC

QB:Ch 9:V0

QB153089888064

1) What is consumer cost to operate one 73−W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.113 per kilowatt-hour?

a) $3.312E+01

b) $3.643E+01

c) $4.007E+01

d) $4.408E+01

e) $4.849E+01

2) 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

3) 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

KEY:QB:Ch 9:V0

QB153089888064

1) What is consumer cost to operate one 73−W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.113 per kilowatt-hour?

+a) $3.312E+01

-b) $3.643E+01

-c) $4.007E+01

-d) $4.408E+01

-e) $4.849E+01

2) 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

3) 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

QB:Ch 9:V1

QB153089888064

1) A make-believe metal has a density of 7.000E+03 kg/m³ and an atomic mass of 89.4 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) 3.219E+28 e⁻/m³

b) 3.541E+28 e⁻/m³

c) 3.896E+28 e⁻/m³

d) 4.285E+28 e⁻/m³

e) 4.714E+28 e⁻/m³

2) What is consumer cost to operate one 56−W incandescent bulb for 6 hours per day for 1 year (365 days) if the cost of electricity is $0.13 per kilowatt-hour?

a) $1.198E+01

b) $1.318E+01

c) $1.449E+01

d) $1.594E+01

e) $1.754E+01

3) The charge passing a plane intersecting a wire is $Q_{M}=\left(1-e^{t/\tau }\right)$, where $Q_{M}$=52 C and $\tau =$0.018 s. What is the current at $t=$0.0207 s?

a) 6.872E+02 A

b) 7.560E+02 A

c) 8.316E+02 A

d) 9.147E+02 A

e) 1.006E+03 A

KEY:QB:Ch 9:V1

QB153089888064

1) A make-believe metal has a density of 7.000E+03 kg/m³ and an atomic mass of 89.4 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) 3.219E+28 e⁻/m³

-b) 3.541E+28 e⁻/m³

-c) 3.896E+28 e⁻/m³

-d) 4.285E+28 e⁻/m³

+e) 4.714E+28 e⁻/m³

2) What is consumer cost to operate one 56−W incandescent bulb for 6 hours per day for 1 year (365 days) if the cost of electricity is $0.13 per kilowatt-hour?

-a) $1.198E+01

-b) $1.318E+01

-c) $1.449E+01

+d) $1.594E+01

-e) $1.754E+01

3) The charge passing a plane intersecting a wire is $Q_{M}=\left(1-e^{t/\tau }\right)$, where $Q_{M}$=52 C and $\tau =$0.018 s. What is the current at $t=$0.0207 s?

-a) 6.872E+02 A

-b) 7.560E+02 A

-c) 8.316E+02 A

+d) 9.147E+02 A

-e) 1.006E+03 A

QB:Ch 9:V2

QB153089888064

1) What is consumer cost to operate one 73−W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.113 per kilowatt-hour?

a) $3.312E+01

b) $3.643E+01

c) $4.007E+01

d) $4.408E+01

e) $4.849E+01

2) A make-believe metal has a density of 1.810E+04 kg/m³ and an atomic mass of 14.0 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) 5.847E+29 e⁻/m³

b) 6.432E+29 e⁻/m³

c) 7.075E+29 e⁻/m³

d) 7.783E+29 e⁻/m³

e) 8.561E+29 e⁻/m³

3) The charge passing a plane intersecting a wire is $Q_{M}=\left(1-e^{t/\tau }\right)$, where $Q_{M}$=84 C and $\tau =$0.0199 s. What is the current at $t=$0.0104 s?

a) 2.275E+03 A

b) 2.503E+03 A

c) 2.753E+03 A

d) 3.029E+03 A

e) 3.331E+03 A

KEY:QB:Ch 9:V2

QB153089888064

1) What is consumer cost to operate one 73−W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.113 per kilowatt-hour?

+a) $3.312E+01

-b) $3.643E+01

-c) $4.007E+01

-d) $4.408E+01

-e) $4.849E+01

2) A make-believe metal has a density of 1.810E+04 kg/m³ and an atomic mass of 14.0 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) 5.847E+29 e⁻/m³

-b) 6.432E+29 e⁻/m³

-c) 7.075E+29 e⁻/m³

+d) 7.783E+29 e⁻/m³

-e) 8.561E+29 e⁻/m³

3) The charge passing a plane intersecting a wire is $Q_{M}=\left(1-e^{t/\tau }\right)$, where $Q_{M}$=84 C and $\tau =$0.0199 s. What is the current at $t=$0.0104 s?

-a) 2.275E+03 A

+b) 2.503E+03 A

-c) 2.753E+03 A

-d) 3.029E+03 A

-e) 3.331E+03 A

QB:Ch 10:V0

QB153089888064

1)

The resistances in the figure shown are R₁= 2.54 Ω, R₂= 1.15 Ω, and R₂= 2.9 Ω. V₁ and V₃ are text 0.446 V and 3.39 V, respectively. But V₂ is opposite to that shown in the figure, or, equivalently, V₂=−0.744 V. What is the absolute value of the current through R₁?

a) 1.285E-01 A

b) 1.414E-01 A

c) 1.555E-01 A

d) 1.711E-01 A

e) 1.882E-01 A

2)

Two sources of emf ε₁=29.5 V, and ε₂=11.0 V are oriented as shownin the circuit. The resistances are R₁=2.45 kΩ and R₂=1.96 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=3.03 mA and I₄=0.783 mA enter and leave near R₂, while the current I₅ exits near R₁.What is the magnitude (absolute value) of I₅?

a) 2.247E+00 mA

b) 2.472E+00 mA

c) 2.719E+00 mA

d) 2.991E+00 mA

e) 3.290E+00 mA

3)

Two sources of emf ε₁=27.9 V, and ε₂=11.1 V are oriented as shownin the circuit. The resistances are R₁=2.82 kΩ and R₂=2.25 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=2.1 mA and I₄=0.676 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) 8.334E+00 V

b) 9.167E+00 V

c) 1.008E+01 V

d) 1.109E+01 V

e) 1.220E+01 V

KEY:QB:Ch 10:V0

QB153089888064

1)

The resistances in the figure shown are R₁= 2.54 Ω, R₂= 1.15 Ω, and R₂= 2.9 Ω. V₁ and V₃ are text 0.446 V and 3.39 V, respectively. But V₂ is opposite to that shown in the figure, or, equivalently, V₂=−0.744 V. What is the absolute value of the current through R₁?

+a) 1.285E-01 A

-b) 1.414E-01 A

-c) 1.555E-01 A

-d) 1.711E-01 A

-e) 1.882E-01 A

2)

Two sources of emf ε₁=29.5 V, and ε₂=11.0 V are oriented as shownin the circuit. The resistances are R₁=2.45 kΩ and R₂=1.96 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=3.03 mA and I₄=0.783 mA enter and leave near R₂, while the current I₅ exits near R₁.What is the magnitude (absolute value) of I₅?

+a) 2.247E+00 mA

-b) 2.472E+00 mA

-c) 2.719E+00 mA

-d) 2.991E+00 mA

-e) 3.290E+00 mA

3)

Two sources of emf ε₁=27.9 V, and ε₂=11.1 V are oriented as shownin the circuit. The resistances are R₁=2.82 kΩ and R₂=2.25 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=2.1 mA and I₄=0.676 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) 8.334E+00 V

-b) 9.167E+00 V

+c) 1.008E+01 V

-d) 1.109E+01 V

-e) 1.220E+01 V

QB:Ch 10:V1

QB153089888064

1)

Two sources of emf ε₁=43.0 V, and ε₂=13.8 V are oriented as shownin the circuit. The resistances are R₁=3.97 kΩ and R₂=1.12 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=6.25 mA and I₄=1.82 mA enter and leave near R₂, while the current I₅ exits near R₁.What is the magnitude (absolute value) of I₅?

a) 3.661E+00 mA

b) 4.027E+00 mA

c) 4.430E+00 mA

d) 4.873E+00 mA

e) 5.360E+00 mA

2)

The resistances in the figure shown are R₁= 2.67 Ω, R₂= 1.78 Ω, and R₂= 3.63 Ω. V₁ and V₃ are text 0.448 V and 2.29 V, respectively. But V₂ is opposite to that shown in the figure, or, equivalently, V₂=−0.656 V. What is the absolute value of the current through R₁?

a) 9.287E-02 A

b) 1.022E-01 A

c) 1.124E-01 A

d) 1.236E-01 A

e) 1.360E-01 A

3)

Two sources of emf ε₁=14.3 V, and ε₂=5.6 V are oriented as shownin the circuit. The resistances are R₁=5.31 kΩ and R₂=2.39 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=1.12 mA and I₄=0.284 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) 3.416E+00 V

b) 3.757E+00 V

c) 4.133E+00 V

d) 4.546E+00 V

e) 5.001E+00 V

KEY:QB:Ch 10:V1

QB153089888064

1)

Two sources of emf ε₁=43.0 V, and ε₂=13.8 V are oriented as shownin the circuit. The resistances are R₁=3.97 kΩ and R₂=1.12 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=6.25 mA and I₄=1.82 mA enter and leave near R₂, while the current I₅ exits near R₁.What is the magnitude (absolute value) of I₅?

-a) 3.661E+00 mA

-b) 4.027E+00 mA

+c) 4.430E+00 mA

-d) 4.873E+00 mA

-e) 5.360E+00 mA

2)

The resistances in the figure shown are R₁= 2.67 Ω, R₂= 1.78 Ω, and R₂= 3.63 Ω. V₁ and V₃ are text 0.448 V and 2.29 V, respectively. But V₂ is opposite to that shown in the figure, or, equivalently, V₂=−0.656 V. What is the absolute value of the current through R₁?

-a) 9.287E-02 A

-b) 1.022E-01 A

-c) 1.124E-01 A

+d) 1.236E-01 A

-e) 1.360E-01 A

3)

Two sources of emf ε₁=14.3 V, and ε₂=5.6 V are oriented as shownin the circuit. The resistances are R₁=5.31 kΩ and R₂=2.39 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=1.12 mA and I₄=0.284 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) 3.416E+00 V

-b) 3.757E+00 V

-c) 4.133E+00 V

+d) 4.546E+00 V

-e) 5.001E+00 V

QB:Ch 10:V2

QB153089888064

1)

The resistances in the figure shown are R₁= 2.74 Ω, R₂= 1.63 Ω, and R₂= 2.75 Ω. V₁ and V₃ are text 0.485 V and 2.01 V, respectively. But V₂ is opposite to that shown in the figure, or, equivalently, V₂=−0.555 V. What is the absolute value of the current through R₁?

a) 1.114E-01 A

b) 1.225E-01 A

c) 1.348E-01 A

d) 1.483E-01 A

e) 1.631E-01 A

2)

Two sources of emf ε₁=42.2 V, and ε₂=17.8 V are oriented as shownin the circuit. The resistances are R₁=4.2 kΩ and R₂=2.83 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=2.5 mA and I₄=0.749 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) 1.056E+01 V

b) 1.161E+01 V

c) 1.277E+01 V

d) 1.405E+01 V

e) 1.545E+01 V

3)

Two sources of emf ε₁=29.5 V, and ε₂=11.0 V are oriented as shownin the circuit. The resistances are R₁=2.45 kΩ and R₂=1.96 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=3.03 mA and I₄=0.783 mA enter and leave near R₂, while the current I₅ exits near R₁.What is the magnitude (absolute value) of I₅?

a) 2.247E+00 mA

b) 2.472E+00 mA

c) 2.719E+00 mA

d) 2.991E+00 mA

e) 3.290E+00 mA

KEY:QB:Ch 10:V2

QB153089888064

1)

The resistances in the figure shown are R₁= 2.74 Ω, R₂= 1.63 Ω, and R₂= 2.75 Ω. V₁ and V₃ are text 0.485 V and 2.01 V, respectively. But V₂ is opposite to that shown in the figure, or, equivalently, V₂=−0.555 V. What is the absolute value of the current through R₁?

-a) 1.114E-01 A

+b) 1.225E-01 A

-c) 1.348E-01 A

-d) 1.483E-01 A

-e) 1.631E-01 A

2)

Two sources of emf ε₁=42.2 V, and ε₂=17.8 V are oriented as shownin the circuit. The resistances are R₁=4.2 kΩ and R₂=2.83 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=2.5 mA and I₄=0.749 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) 1.056E+01 V

-b) 1.161E+01 V

-c) 1.277E+01 V

+d) 1.405E+01 V

-e) 1.545E+01 V

3)

Two sources of emf ε₁=29.5 V, and ε₂=11.0 V are oriented as shownin the circuit. The resistances are R₁=2.45 kΩ and R₂=1.96 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=3.03 mA and I₄=0.783 mA enter and leave near R₂, while the current I₅ exits near R₁.What is the magnitude (absolute value) of I₅?

+a) 2.247E+00 mA

-b) 2.472E+00 mA

-c) 2.719E+00 mA

-d) 2.991E+00 mA

-e) 3.290E+00 mA

QB:Ch 11:V0

QB153089888064

1) An alpha-particle (q=3.2x10⁻¹⁹C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.13 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(5.64 i + 1.93 j  + 8.71 k) x 10⁴ m/s?

a) 1.757E-14 N

b) 1.933E-14 N

c) 2.126E-14 N

d) 2.339E-14 N

e) 2.573E-14 N

2) A cyclotron used to accelerate alpha particlesm=6.64 x 10⁻²⁷kg, q=3.2 x 10⁻¹⁹C) has a radius of 0.125 m and a magneticfield of 0.932 T. What is their maximum kinetic energy?

a) 4.914E-01 MeV

b) 5.406E-01 MeV

c) 5.946E-01 MeV

d) 6.541E-01 MeV

e) 7.195E-01 MeV

3) A long rigind wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.851 T magnetic field is directed 65° away from the wire?

a) 4.908E+00 N/m

b) 5.399E+00 N/m

c) 5.939E+00 N/m

d) 6.533E+00 N/m

e) 7.186E+00 N/m

KEY:QB:Ch 11:V0

QB153089888064

1) An alpha-particle (q=3.2x10⁻¹⁹C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.13 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(5.64 i + 1.93 j  + 8.71 k) x 10⁴ m/s?

-a) 1.757E-14 N

+b) 1.933E-14 N

-c) 2.126E-14 N

-d) 2.339E-14 N

-e) 2.573E-14 N

2) A cyclotron used to accelerate alpha particlesm=6.64 x 10⁻²⁷kg, q=3.2 x 10⁻¹⁹C) has a radius of 0.125 m and a magneticfield of 0.932 T. What is their maximum kinetic energy?

-a) 4.914E-01 MeV

-b) 5.406E-01 MeV

-c) 5.946E-01 MeV

+d) 6.541E-01 MeV

-e) 7.195E-01 MeV

3) A long rigind wire carries a 7 A current. What is the magnetic force per unit length on the wire if a 0.851 T magnetic field is directed 65° away from the wire?

-a) 4.908E+00 N/m

+b) 5.399E+00 N/m

-c) 5.939E+00 N/m

-d) 6.533E+00 N/m

-e) 7.186E+00 N/m

QB:Ch 11:V1

QB153089888064

1) An alpha-particle (q=3.2x10⁻¹⁹C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.85 i + 1.28 j  + 8.49 k) x 10⁴ m/s?

a) 2.222E-14 N

b) 2.444E-14 N

c) 2.688E-14 N

d) 2.957E-14 N

e) 3.253E-14 N

2) A cyclotron used to accelerate alpha particlesm=6.64 x 10⁻²⁷kg, q=3.2 x 10⁻¹⁹C) has a radius of 0.44 m and a magneticfield of 1.31 T. What is their maximum kinetic energy?

a) 1.323E+01 MeV

b) 1.456E+01 MeV

c) 1.601E+01 MeV

d) 1.761E+01 MeV

e) 1.937E+01 MeV

3) A long rigind wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.578 T magnetic field is directed 38° away from the wire?

a) 2.847E+00 N/m

b) 3.132E+00 N/m

c) 3.445E+00 N/m

d) 3.789E+00 N/m

e) 4.168E+00 N/m

KEY:QB:Ch 11:V1

QB153089888064

1) An alpha-particle (q=3.2x10⁻¹⁹C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(2.85 i + 1.28 j  + 8.49 k) x 10⁴ m/s?

-a) 2.222E-14 N

-b) 2.444E-14 N

-c) 2.688E-14 N

+d) 2.957E-14 N

-e) 3.253E-14 N

2) A cyclotron used to accelerate alpha particlesm=6.64 x 10⁻²⁷kg, q=3.2 x 10⁻¹⁹C) has a radius of 0.44 m and a magneticfield of 1.31 T. What is their maximum kinetic energy?

-a) 1.323E+01 MeV

-b) 1.456E+01 MeV

+c) 1.601E+01 MeV

-d) 1.761E+01 MeV

-e) 1.937E+01 MeV

3) A long rigind wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.578 T magnetic field is directed 38° away from the wire?

+a) 2.847E+00 N/m

-b) 3.132E+00 N/m

-c) 3.445E+00 N/m

-d) 3.789E+00 N/m

-e) 4.168E+00 N/m

QB:Ch 11:V2

QB153089888064

1) An alpha-particle (q=3.2x10⁻¹⁹C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.78 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.43 i + 8.8 j  + 4.16 k) x 10⁴ m/s?

a) 1.064E-13 N

b) 1.171E-13 N

c) 1.288E-13 N

d) 1.417E-13 N

e) 1.558E-13 N

2) 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

3) A long rigind wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.578 T magnetic field is directed 38° away from the wire?

a) 2.847E+00 N/m

b) 3.132E+00 N/m

c) 3.445E+00 N/m

d) 3.789E+00 N/m

e) 4.168E+00 N/m

KEY:QB:Ch 11:V2

QB153089888064

1) An alpha-particle (q=3.2x10⁻¹⁹C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.78 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.43 i + 8.8 j  + 4.16 k) x 10⁴ m/s?

+a) 1.064E-13 N

-b) 1.171E-13 N

-c) 1.288E-13 N

-d) 1.417E-13 N

-e) 1.558E-13 N

2) 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

3) A long rigind wire carries a 8 A current. What is the magnetic force per unit length on the wire if a 0.578 T magnetic field is directed 38° away from the wire?

+a) 2.847E+00 N/m

-b) 3.132E+00 N/m

-c) 3.445E+00 N/m

-d) 3.789E+00 N/m

-e) 4.168E+00 N/m

QB:Ch 12:V0

QB153089888064

1)

Three wires sit at the corners of a square of length 0.78 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 (2.13 A, 1.35 A, 2.02 A), respectively. What is the x-component of the magnetic field at point P?

a) B_x= 6.282E-05 T

b) B_x= 6.910E-05 T

c) B_x= 7.601E-05 T

d) B_x= 8.361E-05 T

e) B_x= 9.198E-05 T

2) A solenoid has 7.170E+04 turns wound around a cylinder of diameter 1.56 cm and length 9 m. The current through the coils is 0.391 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=−2.73 cm to z=+2.56 cm

a) 1.414E-04 T-m

b) 1.556E-04 T-m

c) 1.711E-04 T-m

d) 1.882E-04 T-m

e) 2.071E-04 T-m

3)

Three wires sit at the corners of a square of length 0.591 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 (2.47 A, 2.1 A, 2.24 A), respectively. What is the y-component of the magnetic field at point P?

a) B_y= 1.191E-04 T

b) B_y= 1.310E-04 T

c) B_y= 1.441E-04 T

d) B_y= 1.585E-04 T

e) B_y= 1.744E-04 T

KEY:QB:Ch 12:V0

QB153089888064

1)

Three wires sit at the corners of a square of length 0.78 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 (2.13 A, 1.35 A, 2.02 A), respectively. What is the x-component of the magnetic field at point P?

-a) B_x= 6.282E-05 T

+b) B_x= 6.910E-05 T

-c) B_x= 7.601E-05 T

-d) B_x= 8.361E-05 T

-e) B_x= 9.198E-05 T

2) A solenoid has 7.170E+04 turns wound around a cylinder of diameter 1.56 cm and length 9 m. The current through the coils is 0.391 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=−2.73 cm to z=+2.56 cm

-a) 1.414E-04 T-m

-b) 1.556E-04 T-m

-c) 1.711E-04 T-m

-d) 1.882E-04 T-m

+e) 2.071E-04 T-m

3)

Three wires sit at the corners of a square of length 0.591 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 (2.47 A, 2.1 A, 2.24 A), respectively. What is the y-component of the magnetic field at point P?

+a) B_y= 1.191E-04 T

-b) B_y= 1.310E-04 T

-c) B_y= 1.441E-04 T

-d) B_y= 1.585E-04 T

-e) B_y= 1.744E-04 T

QB:Ch 12:V1

QB153089888064

1)

Three wires sit at the corners of a square of length 0.66 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 (2.18 A, 1.82 A, 1.35 A), respectively. What is the y-component of the magnetic field at point P?

a) B_y= 7.035E-05 T

b) B_y= 7.739E-05 T

c) B_y= 8.512E-05 T

d) B_y= 9.364E-05 T

e) B_y= 1.030E-04 T

2)

Three wires sit at the corners of a square of length 0.75 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 (1.1 A, 1.11 A, 2.26 A), respectively. What is the x-component of the magnetic field at point P?

a) B_x= 7.507E-05 T

b) B_x= 8.257E-05 T

c) B_x= 9.083E-05 T

d) B_x= 9.991E-05 T

e) B_x= 1.099E-04 T

3) A solenoid has 9.560E+04 turns wound around a cylinder of diameter 1.18 cm and length 12 m. The current through the coils is 0.664 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=−4.49 cm to z=+3.61 cm

a) 4.895E-04 T-m

b) 5.384E-04 T-m

c) 5.923E-04 T-m

d) 6.515E-04 T-m

e) 7.167E-04 T-m

KEY:QB:Ch 12:V1

QB153089888064

1)

Three wires sit at the corners of a square of length 0.66 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 (2.18 A, 1.82 A, 1.35 A), respectively. What is the y-component of the magnetic field at point P?

-a) B_y= 7.035E-05 T

-b) B_y= 7.739E-05 T

-c) B_y= 8.512E-05 T

+d) B_y= 9.364E-05 T

-e) B_y= 1.030E-04 T

2)

Three wires sit at the corners of a square of length 0.75 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 (1.1 A, 1.11 A, 2.26 A), respectively. What is the x-component of the magnetic field at point P?

+a) B_x= 7.507E-05 T

-b) B_x= 8.257E-05 T

-c) B_x= 9.083E-05 T

-d) B_x= 9.991E-05 T

-e) B_x= 1.099E-04 T

3) A solenoid has 9.560E+04 turns wound around a cylinder of diameter 1.18 cm and length 12 m. The current through the coils is 0.664 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=−4.49 cm to z=+3.61 cm

-a) 4.895E-04 T-m

+b) 5.384E-04 T-m

-c) 5.923E-04 T-m

-d) 6.515E-04 T-m

-e) 7.167E-04 T-m

QB:Ch 12:V2

QB153089888064

1)

Three wires sit at the corners of a square of length 0.51 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 (1.16 A, 2.46 A, 2.15 A), respectively. What is the x-component of the magnetic field at point P?

a) B_x= 9.053E-05 T

b) B_x= 9.959E-05 T

c) B_x= 1.095E-04 T

d) B_x= 1.205E-04 T

e) B_x= 1.325E-04 T

2)

Three wires sit at the corners of a square of length 0.534 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 (2.45 A, 2.44 A, 1.61 A), respectively. What is the y-component of the magnetic field at point P?

a) B_y= 9.388E-05 T

b) B_y= 1.033E-04 T

c) B_y= 1.136E-04 T

d) B_y= 1.250E-04 T

e) B_y= 1.375E-04 T

3) A solenoid has 9.160E+04 turns wound around a cylinder of diameter 1.64 cm and length 16 m. The current through the coils is 0.873 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=−1.74 cm to z=+4.75 cm

a) 3.369E-04 T-m

b) 3.706E-04 T-m

c) 4.076E-04 T-m

d) 4.484E-04 T-m

e) 4.932E-04 T-m

KEY:QB:Ch 12:V2

QB153089888064

1)

Three wires sit at the corners of a square of length 0.51 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 (1.16 A, 2.46 A, 2.15 A), respectively. What is the x-component of the magnetic field at point P?

-a) B_x= 9.053E-05 T

-b) B_x= 9.959E-05 T

-c) B_x= 1.095E-04 T

-d) B_x= 1.205E-04 T

+e) B_x= 1.325E-04 T

2)

Three wires sit at the corners of a square of length 0.534 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 (2.45 A, 2.44 A, 1.61 A), respectively. What is the y-component of the magnetic field at point P?

-a) B_y= 9.388E-05 T

-b) B_y= 1.033E-04 T

-c) B_y= 1.136E-04 T

-d) B_y= 1.250E-04 T

+e) B_y= 1.375E-04 T

3) A solenoid has 9.160E+04 turns wound around a cylinder of diameter 1.64 cm and length 16 m. The current through the coils is 0.873 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=−1.74 cm to z=+4.75 cm

-a) 3.369E-04 T-m

-b) 3.706E-04 T-m

+c) 4.076E-04 T-m

-d) 4.484E-04 T-m

-e) 4.932E-04 T-m

QB:Ch 13:V0

QB153089888064

1) A long solenoid has a radius of 0.436 m and 87 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$4 A and $\alpha =$27 s⁻¹.What is the induced electric fied at a distance 0.153 m from the axis at time t=0.02 s ?

a) 4.785E-04 V/m

b) 5.264E-04 V/m

c) 5.790E-04 V/m

d) 6.369E-04 V/m

e) 7.006E-04 V/m

2) 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}=$3.29 T and $\omega =$4.720E+03 s⁻¹. Suppose the electric field is always zero at point ${\mathcal {O}}$, and consider a circle of radius 0.658 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) 6.420E+04 V

b) 7.062E+04 V

c) 7.768E+04 V

d) 8.545E+04 V

e) 9.400E+04 V

3) The current through the windings of a solenoid with n= 2.460E+03 turns per meter is changing at a rate dI/dt=7 A/s. The solenoid is 87 cm long and has a cross-sectional diameter of 3.32 cm. A small coil consisting of N=38turns wraped in a circle of diameter 1.29 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) 7.340E-05 V

b) 8.075E-05 V

c) 8.882E-05 V

d) 9.770E-05 V

e) 1.075E-04 V

KEY:QB:Ch 13:V0

QB153089888064

1) A long solenoid has a radius of 0.436 m and 87 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$4 A and $\alpha =$27 s⁻¹.What is the induced electric fied at a distance 0.153 m from the axis at time t=0.02 s ?

-a) 4.785E-04 V/m

+b) 5.264E-04 V/m

-c) 5.790E-04 V/m

-d) 6.369E-04 V/m

-e) 7.006E-04 V/m

2) 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}=$3.29 T and $\omega =$4.720E+03 s⁻¹. Suppose the electric field is always zero at point ${\mathcal {O}}$, and consider a circle of radius 0.658 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) 6.420E+04 V

-b) 7.062E+04 V

-c) 7.768E+04 V

-d) 8.545E+04 V

-e) 9.400E+04 V

3) The current through the windings of a solenoid with n= 2.460E+03 turns per meter is changing at a rate dI/dt=7 A/s. The solenoid is 87 cm long and has a cross-sectional diameter of 3.32 cm. A small coil consisting of N=38turns wraped in a circle of diameter 1.29 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) 7.340E-05 V

-b) 8.075E-05 V

-c) 8.882E-05 V

-d) 9.770E-05 V

+e) 1.075E-04 V

QB:Ch 13:V1

QB153089888064

1) A long solenoid has a radius of 0.517 m and 23 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$1 A and $\alpha =$30 s⁻¹.What is the induced electric fied at a distance 0.162 m from the axis at time t=0.0679 s ?

a) 6.256E-06 V/m

b) 6.882E-06 V/m

c) 7.570E-06 V/m

d) 8.327E-06 V/m

e) 9.160E-06 V/m

2) The current through the windings of a solenoid with n= 2.210E+03 turns per meter is changing at a rate dI/dt=18 A/s. The solenoid is 65 cm long and has a cross-sectional diameter of 2.2 cm. A small coil consisting of N=36turns wraped in a circle of diameter 1.29 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) 2.352E-04 V

b) 2.587E-04 V

c) 2.846E-04 V

d) 3.131E-04 V

e) 3.444E-04 V

3) 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}=$3.54 T and $\omega =$1.860E+03 s⁻¹. Suppose the electric field is always zero at point ${\mathcal {O}}$, and consider a circle of radius 0.642 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) 2.415E+04 V

b) 2.656E+04 V

c) 2.922E+04 V

d) 3.214E+04 V

e) 3.535E+04 V

KEY:QB:Ch 13:V1

QB153089888064

1) A long solenoid has a radius of 0.517 m and 23 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$1 A and $\alpha =$30 s⁻¹.What is the induced electric fied at a distance 0.162 m from the axis at time t=0.0679 s ?

-a) 6.256E-06 V/m

-b) 6.882E-06 V/m

-c) 7.570E-06 V/m

-d) 8.327E-06 V/m

+e) 9.160E-06 V/m

2) The current through the windings of a solenoid with n= 2.210E+03 turns per meter is changing at a rate dI/dt=18 A/s. The solenoid is 65 cm long and has a cross-sectional diameter of 2.2 cm. A small coil consisting of N=36turns wraped in a circle of diameter 1.29 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) 2.352E-04 V

-b) 2.587E-04 V

-c) 2.846E-04 V

-d) 3.131E-04 V

-e) 3.444E-04 V

3) 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}=$3.54 T and $\omega =$1.860E+03 s⁻¹. Suppose the electric field is always zero at point ${\mathcal {O}}$, and consider a circle of radius 0.642 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) 2.415E+04 V

+b) 2.656E+04 V

-c) 2.922E+04 V

-d) 3.214E+04 V

-e) 3.535E+04 V

QB:Ch 13:V2

QB153089888064

1) A long solenoid has a radius of 0.845 m and 78 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$3 A and $\alpha =$20 s⁻¹.What is the induced electric fied at a distance 0.214 m from the axis at time t=0.0655 s ?

a) 1.160E-04 V/m

b) 1.276E-04 V/m

c) 1.403E-04 V/m

d) 1.544E-04 V/m

e) 1.698E-04 V/m

2) 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}=$1.8 T and $\omega =$1.530E+03 s⁻¹. Suppose the electric field is always zero at point ${\mathcal {O}}$, and consider a circle of radius 0.519 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) 7.422E+03 V

b) 8.164E+03 V

c) 8.981E+03 V

d) 9.879E+03 V

e) 1.087E+04 V

3) The current through the windings of a solenoid with n= 2.590E+03 turns per meter is changing at a rate dI/dt=11 A/s. The solenoid is 95 cm long and has a cross-sectional diameter of 2.29 cm. A small coil consisting of N=25turns wraped in a circle of diameter 1.15 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) 6.985E-05 V

b) 7.683E-05 V

c) 8.452E-05 V

d) 9.297E-05 V

e) 1.023E-04 V

KEY:QB:Ch 13:V2

QB153089888064

1) A long solenoid has a radius of 0.845 m and 78 turns per meter; its current decreases with time according to $I_{0}e^{-\alpha t}$, where $I_{0}=$3 A and $\alpha =$20 s⁻¹.What is the induced electric fied at a distance 0.214 m from the axis at time t=0.0655 s ?

-a) 1.160E-04 V/m

-b) 1.276E-04 V/m

-c) 1.403E-04 V/m

-d) 1.544E-04 V/m

+e) 1.698E-04 V/m

2) 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}=$1.8 T and $\omega =$1.530E+03 s⁻¹. Suppose the electric field is always zero at point ${\mathcal {O}}$, and consider a circle of radius 0.519 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) 7.422E+03 V

-b) 8.164E+03 V

+c) 8.981E+03 V

-d) 9.879E+03 V

-e) 1.087E+04 V

3) The current through the windings of a solenoid with n= 2.590E+03 turns per meter is changing at a rate dI/dt=11 A/s. The solenoid is 95 cm long and has a cross-sectional diameter of 2.29 cm. A small coil consisting of N=25turns wraped in a circle of diameter 1.15 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) 6.985E-05 V

-b) 7.683E-05 V

-c) 8.452E-05 V

+d) 9.297E-05 V

-e) 1.023E-04 V

QB:Ch 14:V0

QB153089888064

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 2.01% of its maximum value if ε = 1.45 V , R = 4.4 Ω, and L = 2.36 H?

a) -8.659E-01 s

b) -9.525E-01 s

c) -1.048E+00 s

d) -1.153E+00 s

e) -1.268E+00 s

2) A washer has an inner diameter of 2.16 cm and an outer diamter of 4.82 cm. The thickness is $h=Cr^{-n}$ where $r$ is measured in cm, $C=4.22mm$, and $n=2.8$. What is the volume of the washer?

a) 1.342E+00 cm³

b) 1.477E+00 cm³

c) 1.624E+00 cm³

d) 1.787E+00 cm³

e) 1.965E+00 cm³

3) In an LC circuit, the self-inductance is 0.0689 H and the capacitance is 2.110E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 7.220E-05 C. How long does it take for the capacitor to become completely discharged?

a) 4.950E-04 s

b) 5.445E-04 s

c) 5.989E-04 s

d) 6.588E-04 s

e) 7.247E-04 s

KEY:QB:Ch 14:V0

QB153089888064

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 2.01% of its maximum value if ε = 1.45 V , R = 4.4 Ω, and L = 2.36 H?

-a) -8.659E-01 s

-b) -9.525E-01 s

+c) -1.048E+00 s

-d) -1.153E+00 s

-e) -1.268E+00 s

2) A washer has an inner diameter of 2.16 cm and an outer diamter of 4.82 cm. The thickness is $h=Cr^{-n}$ where $r$ is measured in cm, $C=4.22mm$, and $n=2.8$. What is the volume of the washer?

-a) 1.342E+00 cm³

+b) 1.477E+00 cm³

-c) 1.624E+00 cm³

-d) 1.787E+00 cm³

-e) 1.965E+00 cm³

3) In an LC circuit, the self-inductance is 0.0689 H and the capacitance is 2.110E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 7.220E-05 C. How long does it take for the capacitor to become completely discharged?

-a) 4.950E-04 s

-b) 5.445E-04 s

+c) 5.989E-04 s

-d) 6.588E-04 s

-e) 7.247E-04 s

QB:Ch 14:V1

QB153089888064

1) A washer has an inner diameter of 2.46 cm and an outer diamter of 4.24 cm. The thickness is $h=Cr^{-n}$ where $r$ is measured in cm, $C=4.32mm$, and $n=2.63$. What is the volume of the washer?

a) 7.499E-01 cm³

b) 8.249E-01 cm³

c) 9.074E-01 cm³

d) 9.982E-01 cm³

e) 1.098E+00 cm³

2) In an LC circuit, the self-inductance is 0.0464 H and the capacitance is 7.350E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 3.280E-05 C. How long does it take for the capacitor to become completely discharged?

a) 8.339E-04 s

b) 9.173E-04 s

c) 1.009E-03 s

d) 1.110E-03 s

e) 1.221E-03 s

3)

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

KEY:QB:Ch 14:V1

QB153089888064

1) A washer has an inner diameter of 2.46 cm and an outer diamter of 4.24 cm. The thickness is $h=Cr^{-n}$ where $r$ is measured in cm, $C=4.32mm$, and $n=2.63$. What is the volume of the washer?

-a) 7.499E-01 cm³

-b) 8.249E-01 cm³

-c) 9.074E-01 cm³

-d) 9.982E-01 cm³

+e) 1.098E+00 cm³

2) In an LC circuit, the self-inductance is 0.0464 H and the capacitance is 7.350E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 3.280E-05 C. How long does it take for the capacitor to become completely discharged?

-a) 8.339E-04 s

+b) 9.173E-04 s

-c) 1.009E-03 s

-d) 1.110E-03 s

-e) 1.221E-03 s

3)

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

QB:Ch 14:V2

QB153089888064

1) 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

2)

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 2.59% of its maximum value if ε = 1.14 V , R = 6.17 Ω, and L = 5.45 H?

a) -1.614E+00 s

b) -1.775E+00 s

c) -1.952E+00 s

d) -2.148E+00 s

e) -2.362E+00 s

3) In an LC circuit, the self-inductance is 0.0216 H and the capacitance is 6.450E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 1.240E-05 C. How long does it take for the capacitor to become completely discharged?

a) 4.846E-04 s

b) 5.330E-04 s

c) 5.863E-04 s

d) 6.449E-04 s

e) 7.094E-04 s

KEY:QB:Ch 14:V2

QB153089888064

1) 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

2)

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 2.59% of its maximum value if ε = 1.14 V , R = 6.17 Ω, and L = 5.45 H?

+a) -1.614E+00 s

-b) -1.775E+00 s

-c) -1.952E+00 s

-d) -2.148E+00 s

-e) -2.362E+00 s

3) In an LC circuit, the self-inductance is 0.0216 H and the capacitance is 6.450E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 1.240E-05 C. How long does it take for the capacitor to become completely discharged?

-a) 4.846E-04 s

-b) 5.330E-04 s

+c) 5.863E-04 s

-d) 6.449E-04 s

-e) 7.094E-04 s

QB:Ch 15:V0

QB153089888064

1) 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

2) 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

3) The output of an ac generator connected to an RLC series combination has a frequency of 890 Hz and an amplitude of 0.58 V;. If R =9 Ω, L= 2.90E-03H , and C=8.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

a) 7.952E-01 &rad;

b) 8.747E-01 &rad;

c) 9.622E-01 &rad;

d) 1.058E+00 &rad;

e) 1.164E+00 &rad;

KEY:QB:Ch 15:V0

QB153089888064

1) 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

2) 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

3) The output of an ac generator connected to an RLC series combination has a frequency of 890 Hz and an amplitude of 0.58 V;. If R =9 Ω, L= 2.90E-03H , and C=8.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

-a) 7.952E-01 &rad;

-b) 8.747E-01 &rad;

-c) 9.622E-01 &rad;

+d) 1.058E+00 &rad;

-e) 1.164E+00 &rad;

QB:Ch 15:V1

QB153089888064

1) The output of an ac generator connected to an RLC series combination has a frequency of 300 Hz and an amplitude of 0.76 V;. If R =5 Ω, L= 6.10E-03H , and C=5.80E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

a) 7.714E-01 &rad;

b) 8.486E-01 &rad;

c) 9.334E-01 &rad;

d) 1.027E+00 &rad;

e) 1.129E+00 &rad;

2) The output of an ac generator connected to an RLC series combination has a frequency of 1.90E+04 Hz and an amplitude of 3 V. If R =8 Ω, L= 9.70E-03H , and C=9.70E-06 F, what is the rms power transferred to the resistor?

a) 7.670E-04 Watts

b) 8.436E-04 Watts

c) 9.280E-04 Watts

d) 1.021E-03 Watts

e) 1.123E-03 Watts

3) 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 =9 Ω, L= 8.50E-03H , and C=7.20E-04 F, respectively. What is the amplitude of the current?

a) 8.384E-02 A

b) 9.222E-02 A

c) 1.014E-01 A

d) 1.116E-01 A

e) 1.227E-01 A

KEY:QB:Ch 15:V1

QB153089888064

1) The output of an ac generator connected to an RLC series combination has a frequency of 300 Hz and an amplitude of 0.76 V;. If R =5 Ω, L= 6.10E-03H , and C=5.80E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

-a) 7.714E-01 &rad;

-b) 8.486E-01 &rad;

-c) 9.334E-01 &rad;

-d) 1.027E+00 &rad;

+e) 1.129E+00 &rad;

2) The output of an ac generator connected to an RLC series combination has a frequency of 1.90E+04 Hz and an amplitude of 3 V. If R =8 Ω, L= 9.70E-03H , and C=9.70E-06 F, what is the rms power transferred to the resistor?

-a) 7.670E-04 Watts

-b) 8.436E-04 Watts

-c) 9.280E-04 Watts

-d) 1.021E-03 Watts

+e) 1.123E-03 Watts

3) 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 =9 Ω, L= 8.50E-03H , and C=7.20E-04 F, respectively. What is the amplitude of the current?

-a) 8.384E-02 A

+b) 9.222E-02 A

-c) 1.014E-01 A

-d) 1.116E-01 A

-e) 1.227E-01 A

QB:Ch 15:V2

QB153089888064

1) The output of an ac generator connected to an RLC series combination has a frequency of 7.60E+04 Hz and an amplitude of 5 V. If R =6 Ω, L= 3.70E-03H , and C=5.80E-06 F, what is the rms power transferred to the resistor?

a) 7.239E-04 Watts

b) 7.963E-04 Watts

c) 8.759E-04 Watts

d) 9.635E-04 Watts

e) 1.060E-03 Watts

2) The output of an ac generator connected to an RLC series combination has a frequency of 970 Hz and an amplitude of 0.11 V;. If R =9 Ω, L= 8.50E-03H , and C=7.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

a) 1.398E+00 &rad;

b) 1.538E+00 &rad;

c) 1.692E+00 &rad;

d) 1.861E+00 &rad;

e) 2.047E+00 &rad;

3) An RLC series combination is driven with an applied voltage of of V=V₀sin(ωt), where V₀=0.25 V. The resistance, inductance, and capacitance are R =3 Ω, L= 2.20E-03H , and C=6.30E-04 F, respectively. What is the amplitude of the current?

a) 7.576E-02 A

b) 8.333E-02 A

c) 9.167E-02 A

d) 1.008E-01 A

e) 1.109E-01 A

KEY:QB:Ch 15:V2

QB153089888064

1) The output of an ac generator connected to an RLC series combination has a frequency of 7.60E+04 Hz and an amplitude of 5 V. If R =6 Ω, L= 3.70E-03H , and C=5.80E-06 F, what is the rms power transferred to the resistor?

-a) 7.239E-04 Watts

-b) 7.963E-04 Watts

-c) 8.759E-04 Watts

+d) 9.635E-04 Watts

-e) 1.060E-03 Watts

2) The output of an ac generator connected to an RLC series combination has a frequency of 970 Hz and an amplitude of 0.11 V;. If R =9 Ω, L= 8.50E-03H , and C=7.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

+a) 1.398E+00 &rad;

-b) 1.538E+00 &rad;

-c) 1.692E+00 &rad;

-d) 1.861E+00 &rad;

-e) 2.047E+00 &rad;

3) An RLC series combination is driven with an applied voltage of of V=V₀sin(ωt), where V₀=0.25 V. The resistance, inductance, and capacitance are R =3 Ω, L= 2.20E-03H , and C=6.30E-04 F, respectively. What is the amplitude of the current?

-a) 7.576E-02 A

+b) 8.333E-02 A

-c) 9.167E-02 A

-d) 1.008E-01 A

-e) 1.109E-01 A

QB:Ch 16:V0

QB153089888064

1)

A parallel plate capacitor with a capicatnce C=3.80E-06 F whose plates have an area A=3.00E+03 m² and separation d=7.10E-03 m is connected via a swith to a 78 Ω resistor and a battery of voltage V₀=25 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=1.30E-03?

a) 2.998E-03 A

b) 3.298E-03 A

c) 3.628E-03 A

d) 3.991E-03 A

e) 4.390E-03 A

2) What is the radiation force on an object that is 8.10E+11 m away from the sun and has cross-sectional area of 0.053 m²? The average power output of the Sun is 3.80E+26 W.

a) 1.630E-08 N

b) 1.793E-08 N

c) 1.972E-08 N

d) 2.169E-08 N

e) 2.386E-08 N

3) A 59 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 76 kW?

a) 1.008E+02 km

b) 1.109E+02 km

c) 1.219E+02 km

d) 1.341E+02 km

e) 1.475E+02 km

KEY:QB:Ch 16:V0

QB153089888064

1)

A parallel plate capacitor with a capicatnce C=3.80E-06 F whose plates have an area A=3.00E+03 m² and separation d=7.10E-03 m is connected via a swith to a 78 Ω resistor and a battery of voltage V₀=25 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=1.30E-03?

-a) 2.998E-03 A

-b) 3.298E-03 A

-c) 3.628E-03 A

+d) 3.991E-03 A

-e) 4.390E-03 A

2) What is the radiation force on an object that is 8.10E+11 m away from the sun and has cross-sectional area of 0.053 m²? The average power output of the Sun is 3.80E+26 W.

+a) 1.630E-08 N

-b) 1.793E-08 N

-c) 1.972E-08 N

-d) 2.169E-08 N

-e) 2.386E-08 N

3) A 59 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 76 kW?

-a) 1.008E+02 km

-b) 1.109E+02 km

-c) 1.219E+02 km

-d) 1.341E+02 km

+e) 1.475E+02 km

QB:Ch 16:V1

QB153089888064

1) A 42 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 98 kW?

a) 1.641E+02 km

b) 1.805E+02 km

c) 1.986E+02 km

d) 2.184E+02 km

e) 2.403E+02 km

2) What is the radiation force on an object that is 6.70E+11 m away from the sun and has cross-sectional area of 0.095 m²? The average power output of the Sun is 3.80E+26 W.

a) 3.528E-08 N

b) 3.881E-08 N

c) 4.269E-08 N

d) 4.696E-08 N

e) 5.166E-08 N

3)

A parallel plate capacitor with a capicatnce C=9.80E-06 F whose plates have an area A=1.00E+04 m² and separation d=9.00E-03 m is connected via a swith to a 15 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=6.60E-04?

a) 6.394E-02 A

b) 7.033E-02 A

c) 7.736E-02 A

d) 8.510E-02 A

e) 9.361E-02 A

KEY:QB:Ch 16:V1

QB153089888064

1) A 42 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 98 kW?

-a) 1.641E+02 km

-b) 1.805E+02 km

+c) 1.986E+02 km

-d) 2.184E+02 km

-e) 2.403E+02 km

2) What is the radiation force on an object that is 6.70E+11 m away from the sun and has cross-sectional area of 0.095 m²? The average power output of the Sun is 3.80E+26 W.

-a) 3.528E-08 N

-b) 3.881E-08 N

+c) 4.269E-08 N

-d) 4.696E-08 N

-e) 5.166E-08 N

3)

A parallel plate capacitor with a capicatnce C=9.80E-06 F whose plates have an area A=1.00E+04 m² and separation d=9.00E-03 m is connected via a swith to a 15 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=6.60E-04?

-a) 6.394E-02 A

+b) 7.033E-02 A

-c) 7.736E-02 A

-d) 8.510E-02 A

-e) 9.361E-02 A

QB:Ch 16:V2

QB153089888064

1)

A parallel plate capacitor with a capicatnce C=1.40E-06 F whose plates have an area A=730.0 m² and separation d=4.60E-03 m is connected via a swith to a 96 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 magnitude of the displacement current at time t=3.30E-04?

a) 7.315E-02 A

b) 8.047E-02 A

c) 8.851E-02 A

d) 9.737E-02 A

e) 1.071E-01 A

2) A 55 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 93 kW?

a) 1.270E+02 km

b) 1.397E+02 km

c) 1.537E+02 km

d) 1.690E+02 km

e) 1.859E+02 km

3) What is the radiation force on an object that is 7.40E+11 m away from the sun and has cross-sectional area of 0.082 m²? The average power output of the Sun is 3.80E+26 W.

a) 2.063E-08 N

b) 2.270E-08 N

c) 2.497E-08 N

d) 2.746E-08 N

e) 3.021E-08 N

KEY:QB:Ch 16:V2

QB153089888064

1)

A parallel plate capacitor with a capicatnce C=1.40E-06 F whose plates have an area A=730.0 m² and separation d=4.60E-03 m is connected via a swith to a 96 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 magnitude of the displacement current at time t=3.30E-04?

-a) 7.315E-02 A

+b) 8.047E-02 A

-c) 8.851E-02 A

-d) 9.737E-02 A

-e) 1.071E-01 A

2) A 55 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 93 kW?

-a) 1.270E+02 km

-b) 1.397E+02 km

-c) 1.537E+02 km

+d) 1.690E+02 km

-e) 1.859E+02 km

3) What is the radiation force on an object that is 7.40E+11 m away from the sun and has cross-sectional area of 0.082 m²? The average power output of the Sun is 3.80E+26 W.

-a) 2.063E-08 N

-b) 2.270E-08 N

-c) 2.497E-08 N

-d) 2.746E-08 N

+e) 3.021E-08 N