# Quizbank/Electricity and Magnetism (calculus based)/QB153089888025

QB153089888025

### QB:Ch 5:V0

QB153089888025

1)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=6\times 10^{-7}{\text{m}}}$. What is the magnitude of the net force on ${\displaystyle q_{2}}$ if ${\displaystyle q_{1}=3e}$, ${\displaystyle q_{2}=-7e}$, and ${\displaystyle q_{3}=6e}$?
a) 1.028E-14 N
b) 1.130E-14 N
c) 1.244E-14 N
d) 1.368E-14 N
e) 1.505E-14 N

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

a) 5.647E+01 N/C
b) 6.212E+01 N/C
c) 6.833E+01 N/C
d) 7.516E+01 N/C
e) 8.268E+01 N/C

3)  ${\displaystyle E(z)=\int _{0}^{R}f(r',z)dr'}$
is an integral that calculates the magnitude of the electric field at a distance ${\displaystyle z}$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is ${\displaystyle R=1.8{\text{ m}}}$ and the surface charge density is ${\displaystyle \sigma =9{\text{ nC/m}}^{3}}$. Evaluate ${\displaystyle f(r',z)}$ at ${\displaystyle r'=0.83{\text{ m}}}$.

a) 2.898E+01 V/m2
b) 3.188E+01 V/m2
c) 3.507E+01 V/m2
d) 3.857E+01 V/m2
e) 4.243E+01 V/m2

#### KEY:QB:Ch 5:V0

QB153089888025

1)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=6\times 10^{-7}{\text{m}}}$. What is the magnitude of the net force on ${\displaystyle q_{2}}$ if ${\displaystyle q_{1}=3e}$, ${\displaystyle q_{2}=-7e}$, and ${\displaystyle q_{3}=6e}$?
-a) 1.028E-14 N
-b) 1.130E-14 N
-c) 1.244E-14 N
-d) 1.368E-14 N
+e) 1.505E-14 N

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

+a) 5.647E+01 N/C
-b) 6.212E+01 N/C
-c) 6.833E+01 N/C
-d) 7.516E+01 N/C
-e) 8.268E+01 N/C

3)  ${\displaystyle E(z)=\int _{0}^{R}f(r',z)dr'}$
is an integral that calculates the magnitude of the electric field at a distance ${\displaystyle z}$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is ${\displaystyle R=1.8{\text{ m}}}$ and the surface charge density is ${\displaystyle \sigma =9{\text{ nC/m}}^{3}}$. Evaluate ${\displaystyle f(r',z)}$ at ${\displaystyle r'=0.83{\text{ m}}}$.

+a) 2.898E+01 V/m2
-b) 3.188E+01 V/m2
-c) 3.507E+01 V/m2
-d) 3.857E+01 V/m2
-e) 4.243E+01 V/m2

### QB:Ch 5:V1

QB153089888025

1)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=6\times 10^{-7}{\text{m}}}$. What is the magnitude of the net force on ${\displaystyle q_{2}}$ if ${\displaystyle q_{1}=2e}$, ${\displaystyle q_{2}=-8e}$, and ${\displaystyle q_{3}=5e}$?
a) 8.259E-15 N
b) 9.085E-15 N
c) 9.993E-15 N
d) 1.099E-14 N
e) 1.209E-14 N

2) A large thin isolated square plate has an area of 8 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 2.652E+01 N/C
b) 2.917E+01 N/C
c) 3.209E+01 N/C
d) 3.529E+01 N/C
e) 3.882E+01 N/C

3)  ${\displaystyle E(z)=\int _{0}^{R}f(r',z)dr'}$
is an integral that calculates the magnitude of the electric field at a distance ${\displaystyle z}$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is ${\displaystyle R=4.3{\text{ m}}}$ and the surface charge density is ${\displaystyle \sigma =2{\text{ nC/m}}^{3}}$. Evaluate ${\displaystyle f(r',z)}$ at ${\displaystyle r'=2.4{\text{ m}}}$.

a) 5.647E+00 V/m2
b) 6.212E+00 V/m2
c) 6.833E+00 V/m2
d) 7.517E+00 V/m2
e) 8.268E+00 V/m2

#### KEY:QB:Ch 5:V1

QB153089888025

1)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=6\times 10^{-7}{\text{m}}}$. What is the magnitude of the net force on ${\displaystyle q_{2}}$ if ${\displaystyle q_{1}=2e}$, ${\displaystyle q_{2}=-8e}$, and ${\displaystyle q_{3}=5e}$?
-a) 8.259E-15 N
-b) 9.085E-15 N
-c) 9.993E-15 N
-d) 1.099E-14 N
+e) 1.209E-14 N

2) A large thin isolated square plate has an area of 8 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 2.652E+01 N/C
-b) 2.917E+01 N/C
-c) 3.209E+01 N/C
+d) 3.529E+01 N/C
-e) 3.882E+01 N/C

3)  ${\displaystyle E(z)=\int _{0}^{R}f(r',z)dr'}$
is an integral that calculates the magnitude of the electric field at a distance ${\displaystyle z}$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is ${\displaystyle R=4.3{\text{ m}}}$ and the surface charge density is ${\displaystyle \sigma =2{\text{ nC/m}}^{3}}$. Evaluate ${\displaystyle f(r',z)}$ at ${\displaystyle r'=2.4{\text{ m}}}$.

+a) 5.647E+00 V/m2
-b) 6.212E+00 V/m2
-c) 6.833E+00 V/m2
-d) 7.517E+00 V/m2
-e) 8.268E+00 V/m2

### QB:Ch 5:V2

QB153089888025

1)  ${\displaystyle E(z)=\int _{0}^{R}f(r',z)dr'}$
is an integral that calculates the magnitude of the electric field at a distance ${\displaystyle z}$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is ${\displaystyle R=1.4{\text{ m}}}$ and the surface charge density is ${\displaystyle \sigma =6{\text{ nC/m}}^{3}}$. Evaluate ${\displaystyle f(r',z)}$ at ${\displaystyle r'=0.56{\text{ m}}}$.

a) 2.567E+01 V/m2
b) 2.824E+01 V/m2
c) 3.106E+01 V/m2
d) 3.417E+01 V/m2
e) 3.759E+01 V/m2

2) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

a) 6.534E+01 N/C
b) 7.187E+01 N/C
c) 7.906E+01 N/C
d) 8.696E+01 N/C
e) 9.566E+01 N/C
3)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=6\times 10^{-7}{\text{m}}}$. What is the magnitude of the net force on ${\displaystyle q_{2}}$ if ${\displaystyle q_{1}=3e}$, ${\displaystyle q_{2}=-7e}$, and ${\displaystyle q_{3}=5e}$?
a) 9.958E-15 N
b) 1.095E-14 N
c) 1.205E-14 N
d) 1.325E-14 N
e) 1.458E-14 N

#### KEY:QB:Ch 5:V2

QB153089888025

1)  ${\displaystyle E(z)=\int _{0}^{R}f(r',z)dr'}$
is an integral that calculates the magnitude of the electric field at a distance ${\displaystyle z}$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is ${\displaystyle R=1.4{\text{ m}}}$ and the surface charge density is ${\displaystyle \sigma =6{\text{ nC/m}}^{3}}$. Evaluate ${\displaystyle f(r',z)}$ at ${\displaystyle r'=0.56{\text{ m}}}$.

-a) 2.567E+01 V/m2
-b) 2.824E+01 V/m2
-c) 3.106E+01 V/m2
-d) 3.417E+01 V/m2
+e) 3.759E+01 V/m2

2) A large thin isolated square plate has an area of 5 m2. It is uniformly charged with 7 nC of charge. What is the magnitude of the electric field 1 mm from the center of the plate's surface?

-a) 6.534E+01 N/C
-b) 7.187E+01 N/C
+c) 7.906E+01 N/C
-d) 8.696E+01 N/C
-e) 9.566E+01 N/C
3)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=6\times 10^{-7}{\text{m}}}$. What is the magnitude of the net force on ${\displaystyle q_{2}}$ if ${\displaystyle q_{1}=3e}$, ${\displaystyle q_{2}=-7e}$, and ${\displaystyle q_{3}=5e}$?
-a) 9.958E-15 N
-b) 1.095E-14 N
-c) 1.205E-14 N
-d) 1.325E-14 N
+e) 1.458E-14 N

### QB:Ch 6:V0

QB153089888025

1) A non-conducting sphere of radius R=2.9 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.5 (r≤R) where a=3 nC·m-1.5. What is the magnitude of the electric field at a distance of 1.7 m from the center?

a) 2.579E+02 N/C
b) 2.837E+02 N/C
c) 3.121E+02 N/C
d) 3.433E+02 N/C
e) 3.776E+02 N/C
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=1.6 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=4.4 m, z=z0=1.4 m, and z=z1=5.5 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 5.0m2 ,and those in the zx plane have area 6.6m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 34° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 2.756E+01 N·m2/C
b) 3.032E+01 N·m2/C
c) 3.335E+01 N·m2/C
d) 3.668E+01 N·m2/C
e) 4.035E+01 N·m2/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:V0

QB153089888025

1) A non-conducting sphere of radius R=2.9 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.5 (r≤R) where a=3 nC·m-1.5. What is the magnitude of the electric field at a distance of 1.7 m from the center?

-a) 2.579E+02 N/C
+b) 2.837E+02 N/C
-c) 3.121E+02 N/C
-d) 3.433E+02 N/C
-e) 3.776E+02 N/C
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=1.6 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=4.4 m, z=z0=1.4 m, and z=z1=5.5 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 5.0m2 ,and those in the zx plane have area 6.6m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 34° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
-a) 2.756E+01 N·m2/C
-b) 3.032E+01 N·m2/C
-c) 3.335E+01 N·m2/C
-d) 3.668E+01 N·m2/C
+e) 4.035E+01 N·m2/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:V1

QB153089888025

1)
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=1.6 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=4.4 m, z=z0=1.4 m, and z=z1=5.5 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 5.0m2 ,and those in the zx plane have area 6.6m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 34° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 2.756E+01 :b) 3.032E+01 :c) 3.335E+01 :d) 3.668E+01 :e) 4.035E+01

2) 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)=ar1.7 (r≤R) where a=3 nC·m-1.3. What is the magnitude of the electric field at a distance of 3.1 m from the center?

a) 1.390E+03 N/C
b) 1.530E+03 N/C
c) 1.682E+03 N/C
d) 1.851E+03 N/C
e) 2.036E+03 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

QB153089888025

1)
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=1.6 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=4.4 m, z=z0=1.4 m, and z=z1=5.5 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 5.0m2 ,and those in the zx plane have area 6.6m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 34° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
-a) 2.756E+01 N·m2/C
-b) 3.032E+01 N·m2/C
-c) 3.335E+01 N·m2/C
-d) 3.668E+01 N·m2/C
+e) 4.035E+01 N·m2/C

2) 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)=ar1.7 (r≤R) where a=3 nC·m-1.3. What is the magnitude of the electric field at a distance of 3.1 m from the center?

-a) 1.390E+03 N/C
+b) 1.530E+03 N/C
-c) 1.682E+03 N/C
-d) 1.851E+03 N/C
-e) 2.036E+03 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

QB153089888025

1) 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
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=2.5 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=4.8 m, z=z0=1.7 m, and z=z1=4.6 m. The surfaces in the yz plane each have area 9.9m2. Those in the xy plane have area 8.5m2 ,and those in the zx plane have area 7.2m2. An electric field of magnitude 14 N/C has components in the y and z directions and is directed at 55° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 8.314E+01 N·m2/C
b) 9.146E+01 N·m2/C
c) 1.006E+02 N·m2/C
d) 1.107E+02 N·m2/C
e) 1.217E+02 N·m2/C

3) A non-conducting sphere of radius R=3.0 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.2 (r≤R) where a=2 nC·m-1.8. What is the magnitude of the electric field at a distance of 2.1 m from the center?

a) 2.274E+02 N/C
b) 2.501E+02 N/C
c) 2.751E+02 N/C
d) 3.026E+02 N/C
e) 3.329E+02 N/C

#### KEY:QB:Ch 6:V2

QB153089888025

1) 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
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=2.5 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=4.8 m, z=z0=1.7 m, and z=z1=4.6 m. The surfaces in the yz plane each have area 9.9m2. Those in the xy plane have area 8.5m2 ,and those in the zx plane have area 7.2m2. An electric field of magnitude 14 N/C has components in the y and z directions and is directed at 55° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
+a) 8.314E+01 N·m2/C
-b) 9.146E+01 N·m2/C
-c) 1.006E+02 N·m2/C
-d) 1.107E+02 N·m2/C
-e) 1.217E+02 N·m2/C

3) A non-conducting sphere of radius R=3.0 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.2 (r≤R) where a=2 nC·m-1.8. What is the magnitude of the electric field at a distance of 2.1 m from the center?

-a) 2.274E+02 N/C
-b) 2.501E+02 N/C
+c) 2.751E+02 N/C
-d) 3.026E+02 N/C
-e) 3.329E+02 N/C

### QB:Ch 7:V0

QB153089888025

1) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=43 V is x2 + y2 + z2 = R2, where R=

a) 2.299E+00 m
b) 2.529E+00 m
c) 2.782E+00 m
d) 3.060E+00 m
e) 3.366E+00 m

2) A 12.0 V battery can move 44,000 C of charge. How many Joules does it deliver?

a) 4.800E+05 J
b) 5.280E+05 J
c) 5.808E+05 J
d) 6.389E+05 J
e) 7.028E+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:V0

QB153089888025

1) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=43 V is x2 + y2 + z2 = R2, where R=

+a) 2.299E+00 m
-b) 2.529E+00 m
-c) 2.782E+00 m
-d) 3.060E+00 m
-e) 3.366E+00 m

2) A 12.0 V battery can move 44,000 C of charge. How many Joules does it deliver?

-a) 4.800E+05 J
+b) 5.280E+05 J
-c) 5.808E+05 J
-d) 6.389E+05 J
-e) 7.028E+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:V1

QB153089888025

1) When a 5.65 V battery operates a 2.73 W bulb, how many electrons pass through it each second?

a) 3.016E+18 electrons
b) 3.317E+18 electrons
c) 3.649E+18 electrons
d) 4.014E+18 electrons
e) 4.415E+18 electrons

2) 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

3) A 12.0 V battery can move 38,000 C of charge. How many Joules does it deliver?

a) 3.115E+05 J
b) 3.426E+05 J
c) 3.769E+05 J
d) 4.145E+05 J
e) 4.560E+05 J

#### KEY:QB:Ch 7:V1

QB153089888025

1) When a 5.65 V battery operates a 2.73 W bulb, how many electrons pass through it each second?

+a) 3.016E+18 electrons
-b) 3.317E+18 electrons
-c) 3.649E+18 electrons
-d) 4.014E+18 electrons
-e) 4.415E+18 electrons

2) 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

3) A 12.0 V battery can move 38,000 C of charge. How many Joules does it deliver?

-a) 3.115E+05 J
-b) 3.426E+05 J
-c) 3.769E+05 J
-d) 4.145E+05 J
+e) 4.560E+05 J

### QB:Ch 7:V2

QB153089888025

1) When a 6.24 V battery operates a 2.1 W bulb, how many electrons pass through it each second?

a) 1.435E+18 electrons
b) 1.578E+18 electrons
c) 1.736E+18 electrons
d) 1.910E+18 electrons
e) 2.101E+18 electrons

2) A 12.0 V battery can move 36,000 C of charge. How many Joules does it deliver?

a) 3.570E+05 J
b) 3.927E+05 J
c) 4.320E+05 J
d) 4.752E+05 J
e) 5.227E+05 J

3) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=83 V is x2 + y2 + z2 = R2, where R=

a) 1.378E+00 m
b) 1.516E+00 m
c) 1.668E+00 m
d) 1.834E+00 m
e) 2.018E+00 m

#### KEY:QB:Ch 7:V2

QB153089888025

1) When a 6.24 V battery operates a 2.1 W bulb, how many electrons pass through it each second?

-a) 1.435E+18 electrons
-b) 1.578E+18 electrons
-c) 1.736E+18 electrons
-d) 1.910E+18 electrons
+e) 2.101E+18 electrons

2) A 12.0 V battery can move 36,000 C of charge. How many Joules does it deliver?

-a) 3.570E+05 J
-b) 3.927E+05 J
+c) 4.320E+05 J
-d) 4.752E+05 J
-e) 5.227E+05 J

3) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=83 V is x2 + y2 + z2 = R2, where R=

-a) 1.378E+00 m
+b) 1.516E+00 m
-c) 1.668E+00 m
-d) 1.834E+00 m
-e) 2.018E+00 m

### QB:Ch 8:V0

QB153089888025

1)
In the figure shown C1=18.7 μF, C2=2.15 μF, and C3=4.88 μF. The voltage source provides ε=11.9 V. What is the energy stored in C2?
a) 1.270E+01 μJ
b) 1.397E+01 μJ
c) 1.537E+01 μJ
d) 1.690E+01 μJ
e) 1.859E+01 μJ

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=16.9 μF, C2=2.3 μF, and C3=4.67 μF. The voltage source provides ε=13.4 V. What is the charge on C1?
a) 6.011E+01 μC
b) 6.613E+01 μC
c) 7.274E+01 μC
d) 8.001E+01 μC
e) 8.801E+01 μC

#### KEY:QB:Ch 8:V0

QB153089888025

1)
In the figure shown C1=18.7 μF, C2=2.15 μF, and C3=4.88 μF. The voltage source provides ε=11.9 V. What is the energy stored in C2?
-a) 1.270E+01 μJ
-b) 1.397E+01 μJ
-c) 1.537E+01 μJ
-d) 1.690E+01 μJ
+e) 1.859E+01 μJ

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=16.9 μF, C2=2.3 μF, and C3=4.67 μF. The voltage source provides ε=13.4 V. What is the charge on C1?
-a) 6.011E+01 μC
+b) 6.613E+01 μC
-c) 7.274E+01 μC
-d) 8.001E+01 μC
-e) 8.801E+01 μC

### QB:Ch 8:V1

QB153089888025

1) An empty parallel-plate capacitor with metal plates has an area of 2.42 m2, separated by 1.33 mm. How much charge does it store if the voltage is 1.130E+03 V?

a) 1.368E+01 μC
b) 1.505E+01 μC
c) 1.655E+01 μC
d) 1.820E+01 μC
e) 2.003E+01 μC
2)
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
3)
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

#### KEY:QB:Ch 8:V1

QB153089888025

1) An empty parallel-plate capacitor with metal plates has an area of 2.42 m2, separated by 1.33 mm. How much charge does it store if the voltage is 1.130E+03 V?

-a) 1.368E+01 μC
-b) 1.505E+01 μC
-c) 1.655E+01 μC
+d) 1.820E+01 μC
-e) 2.003E+01 μC
2)
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
3)
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

### QB:Ch 8:V2

QB153089888025

1)
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

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=18.1 μF, C2=2.89 μF, and C3=4.2 μF. The voltage source provides ε=9.19 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:V2

QB153089888025

1)
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

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=18.1 μF, C2=2.89 μF, and C3=4.2 μF. The voltage source provides ε=9.19 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 9:V0

QB153089888025

1) A make-believe metal has a density of 5.880E+03 kg/m3 and an atomic mass of 87.4 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) 3.347E+28 e/m3
b) 3.682E+28 e/m3
c) 4.050E+28 e/m3
d) 4.455E+28 e/m3
e) 4.901E+28 e/m3

2) Calculate the electric field in a 12-gauge copper wire that is 48 m long and carries a current of 63 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) 3.198E-04 V/m
b) 3.517E-04 V/m
c) 3.869E-04 V/m
d) 4.256E-04 V/m
e) 4.682E-04 V/m

3) The charge passing a plane intersecting a wire is ${\displaystyle Q_{M}=\left(1-e^{t/\tau }\right)}$, where ${\displaystyle Q_{M}}$=58 C and ${\displaystyle \tau =}$0.0249 s. What is the current at ${\displaystyle t=}$0.0191 s?

a) 8.127E+02 A
b) 8.939E+02 A
c) 9.833E+02 A
d) 1.082E+03 A
e) 1.190E+03 A

#### KEY:QB:Ch 9:V0

QB153089888025

1) A make-believe metal has a density of 5.880E+03 kg/m3 and an atomic mass of 87.4 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) 3.347E+28 e/m3
-b) 3.682E+28 e/m3
+c) 4.050E+28 e/m3
-d) 4.455E+28 e/m3
-e) 4.901E+28 e/m3

2) Calculate the electric field in a 12-gauge copper wire that is 48 m long and carries a current of 63 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) 3.198E-04 V/m
-b) 3.517E-04 V/m
-c) 3.869E-04 V/m
-d) 4.256E-04 V/m
-e) 4.682E-04 V/m

3) The charge passing a plane intersecting a wire is ${\displaystyle Q_{M}=\left(1-e^{t/\tau }\right)}$, where ${\displaystyle Q_{M}}$=58 C and ${\displaystyle \tau =}$0.0249 s. What is the current at ${\displaystyle t=}$0.0191 s?

-a) 8.127E+02 A
-b) 8.939E+02 A
-c) 9.833E+02 A
+d) 1.082E+03 A
-e) 1.190E+03 A

### QB:Ch 9:V1

QB153089888025

1) The charge passing a plane intersecting a wire is ${\displaystyle Q_{M}=\left(1-e^{t/\tau }\right)}$, where ${\displaystyle Q_{M}}$=16 C and ${\displaystyle \tau =}$0.0214 s. What is the current at ${\displaystyle t=}$0.0207 s?

a) 2.135E+02 A
b) 2.349E+02 A
c) 2.584E+02 A
d) 2.842E+02 A
e) 3.126E+02 A

2) A make-believe metal has a density of 1.050E+04 kg/m3 and an atomic mass of 58.8 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) 1.075E+29 e/m3
b) 1.183E+29 e/m3
c) 1.301E+29 e/m3
d) 1.431E+29 e/m3
e) 1.574E+29 e/m3

3) Calculate the electric field in a 12-gauge copper wire that is 48 m long and carries a current of 63 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) 3.198E-04 V/m
b) 3.517E-04 V/m
c) 3.869E-04 V/m
d) 4.256E-04 V/m
e) 4.682E-04 V/m

#### KEY:QB:Ch 9:V1

QB153089888025

1) The charge passing a plane intersecting a wire is ${\displaystyle Q_{M}=\left(1-e^{t/\tau }\right)}$, where ${\displaystyle Q_{M}}$=16 C and ${\displaystyle \tau =}$0.0214 s. What is the current at ${\displaystyle t=}$0.0207 s?

-a) 2.135E+02 A
-b) 2.349E+02 A
-c) 2.584E+02 A
+d) 2.842E+02 A
-e) 3.126E+02 A

2) A make-believe metal has a density of 1.050E+04 kg/m3 and an atomic mass of 58.8 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) 1.075E+29 e/m3
-b) 1.183E+29 e/m3
-c) 1.301E+29 e/m3
-d) 1.431E+29 e/m3
-e) 1.574E+29 e/m3

3) Calculate the electric field in a 12-gauge copper wire that is 48 m long and carries a current of 63 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) 3.198E-04 V/m
-b) 3.517E-04 V/m
-c) 3.869E-04 V/m
-d) 4.256E-04 V/m
-e) 4.682E-04 V/m

### QB:Ch 9:V2

QB153089888025

1) A make-believe metal has a density of 1.430E+04 kg/m3 and an atomic mass of 37.8 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) 1.882E+29 e/m3
b) 2.070E+29 e/m3
c) 2.277E+29 e/m3
d) 2.505E+29 e/m3
e) 2.756E+29 e/m3

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

3) 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

#### KEY:QB:Ch 9:V2

QB153089888025

1) A make-believe metal has a density of 1.430E+04 kg/m3 and an atomic mass of 37.8 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) 1.882E+29 e/m3
-b) 2.070E+29 e/m3
+c) 2.277E+29 e/m3
-d) 2.505E+29 e/m3
-e) 2.756E+29 e/m3

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

3) 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

### QB:Ch 10:V0

QB153089888025

1)
Two sources of emf ε1=24.8 V, and ε2=10.3 V are oriented as shownin the circuit. The resistances are R1=2.19 kΩ and R2=1.6 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=2.49 mA and I4=0.83 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.660E+00 mA
b) 1.826E+00 mA
c) 2.009E+00 mA
d) 2.209E+00 mA
e) 2.430E+00 mA
2)
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 327 V. If the combined external and internal resistance is 204 &Omega and the capacitance is 68 mF, how long will it take for the capacitor's voltage to reach 218.0 V?
a) 1.385E+01 s
b) 1.524E+01 s
c) 1.676E+01 s
d) 1.844E+01 s
e) 2.028E+01 s
3)
Two sources of emf ε1=21.6 V, and ε2=8.59 V are oriented as shownin the circuit. The resistances are R1=4.97 kΩ and R2=1.69 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=3.2 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) 6.064E+00 V
b) 6.670E+00 V
c) 7.337E+00 V
d) 8.071E+00 V
e) 8.878E+00 V

#### KEY:QB:Ch 10:V0

QB153089888025

1)
Two sources of emf ε1=24.8 V, and ε2=10.3 V are oriented as shownin the circuit. The resistances are R1=2.19 kΩ and R2=1.6 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=2.49 mA and I4=0.83 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
+a) 1.660E+00 mA
-b) 1.826E+00 mA
-c) 2.009E+00 mA
-d) 2.209E+00 mA
-e) 2.430E+00 mA
2)
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 327 V. If the combined external and internal resistance is 204 &Omega and the capacitance is 68 mF, how long will it take for the capacitor's voltage to reach 218.0 V?
-a) 1.385E+01 s
+b) 1.524E+01 s
-c) 1.676E+01 s
-d) 1.844E+01 s
-e) 2.028E+01 s
3)
Two sources of emf ε1=21.6 V, and ε2=8.59 V are oriented as shownin the circuit. The resistances are R1=4.97 kΩ and R2=1.69 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=3.2 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) 6.064E+00 V
-b) 6.670E+00 V
+c) 7.337E+00 V
-d) 8.071E+00 V
-e) 8.878E+00 V

### QB:Ch 10:V1

QB153089888025

1)
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 213 V. If the combined external and internal resistance is 118 &Omega and the capacitance is 61 mF, how long will it take for the capacitor's voltage to reach 142.0 V?
a) 5.401E+00 s
b) 5.941E+00 s
c) 6.535E+00 s
d) 7.189E+00 s
e) 7.908E+00 s
2)
Two sources of emf ε1=46.1 V, and ε2=16.2 V are oriented as shownin the circuit. The resistances are R1=5.17 kΩ and R2=2.06 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=4.97 mA and I4=1.07 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) 1.309E+01 V
b) 1.440E+01 V
c) 1.584E+01 V
d) 1.742E+01 V
e) 1.917E+01 V
3)
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

#### KEY:QB:Ch 10:V1

QB153089888025

1)
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 213 V. If the combined external and internal resistance is 118 &Omega and the capacitance is 61 mF, how long will it take for the capacitor's voltage to reach 142.0 V?
-a) 5.401E+00 s
-b) 5.941E+00 s
-c) 6.535E+00 s
-d) 7.189E+00 s
+e) 7.908E+00 s
2)
Two sources of emf ε1=46.1 V, and ε2=16.2 V are oriented as shownin the circuit. The resistances are R1=5.17 kΩ and R2=2.06 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=4.97 mA and I4=1.07 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) 1.309E+01 V
-b) 1.440E+01 V
+c) 1.584E+01 V
-d) 1.742E+01 V
-e) 1.917E+01 V
3)
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

### QB:Ch 10:V2

QB153089888025

1)
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
2)
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
3)
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 598 V. If the combined external and internal resistance is 170 &Omega and the capacitance is 73 mF, how long will it take for the capacitor's voltage to reach 436.0 V?
a) 1.218E+01 s
b) 1.339E+01 s
c) 1.473E+01 s
d) 1.621E+01 s
e) 1.783E+01 s

#### KEY:QB:Ch 10:V2

QB153089888025

1)
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
2)
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
3)
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 598 V. If the combined external and internal resistance is 170 &Omega and the capacitance is 73 mF, how long will it take for the capacitor's voltage to reach 436.0 V?
-a) 1.218E+01 s
-b) 1.339E+01 s
-c) 1.473E+01 s
+d) 1.621E+01 s
-e) 1.783E+01 s

### QB:Ch 11:V0

QB153089888025

1) A circular current loop of radius 1.94 cm carries a current of 1.83 mA. What is the magnitude of the torque if the dipole is oriented at 43 ° to a uniform magnetic fied of 0.156 T?

a) 1.903E-07 N m
b) 2.093E-07 N m
c) 2.302E-07 N m
d) 2.532E-07 N m
e) 2.785E-07 N m

2) A charged particle in a magnetic field of 4.660E-04 T is moving perpendicular to the magnetic field with a speed of 7.720E+05 m/s. What is the period of orbit if orbital radius is 0.747 m?

a) 6.080E-06 s
b) 6.688E-06 s
c) 7.356E-06 s
d) 8.092E-06 s
e) 8.901E-06 s

3) A long rigind wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.623 T magnetic field is directed 73° away from the wire?

a) 3.575E+00 N/m
b) 3.932E+00 N/m
c) 4.325E+00 N/m
d) 4.758E+00 N/m
e) 5.234E+00 N/m

#### KEY:QB:Ch 11:V0

QB153089888025

1) A circular current loop of radius 1.94 cm carries a current of 1.83 mA. What is the magnitude of the torque if the dipole is oriented at 43 ° to a uniform magnetic fied of 0.156 T?

-a) 1.903E-07 N m
-b) 2.093E-07 N m
+c) 2.302E-07 N m
-d) 2.532E-07 N m
-e) 2.785E-07 N m

2) A charged particle in a magnetic field of 4.660E-04 T is moving perpendicular to the magnetic field with a speed of 7.720E+05 m/s. What is the period of orbit if orbital radius is 0.747 m?

+a) 6.080E-06 s
-b) 6.688E-06 s
-c) 7.356E-06 s
-d) 8.092E-06 s
-e) 8.901E-06 s

3) A long rigind wire carries a 6 A current. What is the magnetic force per unit length on the wire if a 0.623 T magnetic field is directed 73° away from the wire?

+a) 3.575E+00 N/m
-b) 3.932E+00 N/m
-c) 4.325E+00 N/m
-d) 4.758E+00 N/m
-e) 5.234E+00 N/m

### QB:Ch 11:V1

QB153089888025

1) A long rigind 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

2) A charged particle in a magnetic field of 3.410E-04 T is moving perpendicular to the magnetic field with a speed of 5.010E+05 m/s. What is the period of orbit if orbital radius is 0.508 m?

a) 5.792E-06 s
b) 6.371E-06 s
c) 7.008E-06 s
d) 7.709E-06 s
e) 8.480E-06 s

3) A circular current loop of radius 2.21 cm carries a current of 1.43 mA. What is the magnitude of the torque if the dipole is oriented at 67 ° to a uniform magnetic fied of 0.276 T?

a) 4.188E-07 N m
b) 4.607E-07 N m
c) 5.068E-07 N m
d) 5.574E-07 N m
e) 6.132E-07 N m

#### KEY:QB:Ch 11:V1

QB153089888025

1) A long rigind 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

2) A charged particle in a magnetic field of 3.410E-04 T is moving perpendicular to the magnetic field with a speed of 5.010E+05 m/s. What is the period of orbit if orbital radius is 0.508 m?

-a) 5.792E-06 s
+b) 6.371E-06 s
-c) 7.008E-06 s
-d) 7.709E-06 s
-e) 8.480E-06 s

3) A circular current loop of radius 2.21 cm carries a current of 1.43 mA. What is the magnitude of the torque if the dipole is oriented at 67 ° to a uniform magnetic fied of 0.276 T?

-a) 4.188E-07 N m
-b) 4.607E-07 N m
-c) 5.068E-07 N m
+d) 5.574E-07 N m
-e) 6.132E-07 N m

### QB:Ch 11:V2

QB153089888025

1) A long rigind wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.379 T magnetic field is directed 53° away from the wire?

a) 1.001E+00 N/m
b) 1.101E+00 N/m
c) 1.211E+00 N/m
d) 1.332E+00 N/m
e) 1.465E+00 N/m

2) A charged particle in a magnetic field of 4.090E-04 T is moving perpendicular to the magnetic field with a speed of 5.980E+05 m/s. What is the period of orbit if orbital radius is 0.633 m?

a) 4.543E-06 s
b) 4.997E-06 s
c) 5.497E-06 s
d) 6.046E-06 s
e) 6.651E-06 s

3) 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

#### KEY:QB:Ch 11:V2

QB153089888025

1) A long rigind wire carries a 4 A current. What is the magnetic force per unit length on the wire if a 0.379 T magnetic field is directed 53° away from the wire?

-a) 1.001E+00 N/m
-b) 1.101E+00 N/m
+c) 1.211E+00 N/m
-d) 1.332E+00 N/m
-e) 1.465E+00 N/m

2) A charged particle in a magnetic field of 4.090E-04 T is moving perpendicular to the magnetic field with a speed of 5.980E+05 m/s. What is the period of orbit if orbital radius is 0.633 m?

-a) 4.543E-06 s
-b) 4.997E-06 s
-c) 5.497E-06 s
-d) 6.046E-06 s
+e) 6.651E-06 s

3) 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

### QB:Ch 12:V0

QB153089888025

1) Two loops of wire carry the same current of 29 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.76 m while the other has a radius of 1.12 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 0.544 m from the first (smaller) loopif the disance between the loops is 1.56 m?

a) 1.950E-02 T
b) 2.145E-02 T
c) 2.360E-02 T
d) 2.596E-02 T
e) 2.855E-02 T
2)
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) Bx= 4.333E-05 T
b) Bx= 4.766E-05 T
c) Bx= 5.243E-05 T
d) Bx= 5.767E-05 T
e) Bx= 6.343E-05 T
3)
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 ${\displaystyle \beta }$ and ${\displaystyle \omega }$. If I1=2.38 kA, I2=0.839 kA, and I3=2.27 kA, take the ${\displaystyle \omega }$ path and evalulate the line integral,
${\displaystyle \oint {\vec {B}}\cdot d{\vec {\ell }}}$:
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

#### KEY:QB:Ch 12:V0

QB153089888025

1) Two loops of wire carry the same current of 29 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.76 m while the other has a radius of 1.12 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 0.544 m from the first (smaller) loopif the disance between the loops is 1.56 m?

+a) 1.950E-02 T
-b) 2.145E-02 T
-c) 2.360E-02 T
-d) 2.596E-02 T
-e) 2.855E-02 T
2)
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) Bx= 4.333E-05 T
+b) Bx= 4.766E-05 T
-c) Bx= 5.243E-05 T
-d) Bx= 5.767E-05 T
-e) Bx= 6.343E-05 T
3)
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 ${\displaystyle \beta }$ and ${\displaystyle \omega }$. If I1=2.38 kA, I2=0.839 kA, and I3=2.27 kA, take the ${\displaystyle \omega }$ path and evalulate the line integral,
${\displaystyle \oint {\vec {B}}\cdot d{\vec {\ell }}}$:
-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

### QB:Ch 12:V1

QB153089888025

1)
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 ${\displaystyle \beta }$ and ${\displaystyle \omega }$. If I1=2.81 kA, I2=1.2 kA, and I3=1.84 kA, take the ${\displaystyle \omega }$ path and evalulate the line integral,
${\displaystyle \oint {\vec {B}}\cdot d{\vec {\ell }}}$:
a) 3.583E-03 T-m
b) 3.941E-03 T-m
c) 4.335E-03 T-m
d) 4.769E-03 T-m
e) 5.246E-03 T-m

2) Two loops of wire carry the same current of 88 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.655 m while the other has a radius of 1.11 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 0.531 m from the first (smaller) loopif the disance between the loops is 1.72 m?

a) 4.162E-02 T
b) 4.578E-02 T
c) 5.036E-02 T
d) 5.540E-02 T
e) 6.094E-02 T
3)
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) Bx= 9.053E-05 T
b) Bx= 9.959E-05 T
c) Bx= 1.095E-04 T
d) Bx= 1.205E-04 T
e) Bx= 1.325E-04 T

#### KEY:QB:Ch 12:V1

QB153089888025

1)
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 ${\displaystyle \beta }$ and ${\displaystyle \omega }$. If I1=2.81 kA, I2=1.2 kA, and I3=1.84 kA, take the ${\displaystyle \omega }$ path and evalulate the line integral,
${\displaystyle \oint {\vec {B}}\cdot d{\vec {\ell }}}$:
-a) 3.583E-03 T-m
-b) 3.941E-03 T-m
+c) 4.335E-03 T-m
-d) 4.769E-03 T-m
-e) 5.246E-03 T-m

2) Two loops of wire carry the same current of 88 kA, and flow in the same direction. They share a common axis and orientation. One loop has a radius of 0.655 m while the other has a radius of 1.11 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 0.531 m from the first (smaller) loopif the disance between the loops is 1.72 m?

-a) 4.162E-02 T
-b) 4.578E-02 T
-c) 5.036E-02 T
+d) 5.540E-02 T
-e) 6.094E-02 T
3)
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) Bx= 9.053E-05 T
-b) Bx= 9.959E-05 T
-c) Bx= 1.095E-04 T
-d) Bx= 1.205E-04 T
+e) Bx= 1.325E-04 T

### QB:Ch 12:V2

QB153089888025

1) 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
2)
Three wires sit at the corners of a square of length 0.64 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 (1.76 A, 1.02 A, 1.08 A), respectively. What is the x-component of the magnetic field at point P?
a) Bx= 3.394E-05 T
b) Bx= 3.733E-05 T
c) Bx= 4.106E-05 T
d) Bx= 4.517E-05 T
e) Bx= 4.969E-05 T
3)
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 ${\displaystyle \beta }$ and ${\displaystyle \omega }$. If I1=2.78 kA, I2=2.61 kA, and I3=3.76 kA, take the ${\displaystyle \omega }$ path and evalulate the line integral,
${\displaystyle \oint {\vec {B}}\cdot d{\vec {\ell }}}$:
a) 4.939E-03 T-m
b) 5.432E-03 T-m
c) 5.976E-03 T-m
d) 6.573E-03 T-m
e) 7.231E-03 T-m

#### KEY:QB:Ch 12:V2

QB153089888025

1) 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
2)
Three wires sit at the corners of a square of length 0.64 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 (1.76 A, 1.02 A, 1.08 A), respectively. What is the x-component of the magnetic field at point P?
-a) Bx= 3.394E-05 T
-b) Bx= 3.733E-05 T
-c) Bx= 4.106E-05 T
-d) Bx= 4.517E-05 T
+e) Bx= 4.969E-05 T
3)
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 ${\displaystyle \beta }$ and ${\displaystyle \omega }$. If I1=2.78 kA, I2=2.61 kA, and I3=3.76 kA, take the ${\displaystyle \omega }$ path and evalulate the line integral,
${\displaystyle \oint {\vec {B}}\cdot d{\vec {\ell }}}$:
+a) 4.939E-03 T-m
-b) 5.432E-03 T-m
-c) 5.976E-03 T-m
-d) 6.573E-03 T-m
-e) 7.231E-03 T-m

### QB:Ch 13:V0

QB153089888025

1) 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 ${\displaystyle (5.55)e^{-\alpha t}}$, where ${\displaystyle \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
2)
A cylinder of height 2.15 cm and radius 7.03 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 3.83 cm from point O and moves at a speed of 5.7 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) 6.534E+01 cm3/s
b) 7.188E+01 cm3/s
c) 7.907E+01 cm3/s
d) 8.697E+01 cm3/s
e) 9.567E+01 cm3/s

3) The current through the windings of a solenoid with n= 1.820E+03 turns per meter is changing at a rate dI/dt=7 A/s. The solenoid is 78 cm long and has a cross-sectional diameter of 3.26 cm. A small coil consisting of N=35turns wraped in a circle of diameter 1.68 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) 1.242E-04 V
b) 1.366E-04 V
c) 1.503E-04 V
d) 1.653E-04 V
e) 1.819E-04 V

#### KEY:QB:Ch 13:V0

QB153089888025

1) 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 ${\displaystyle (5.55)e^{-\alpha t}}$, where ${\displaystyle \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
2)
A cylinder of height 2.15 cm and radius 7.03 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 3.83 cm from point O and moves at a speed of 5.7 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) 6.534E+01 cm3/s
-b) 7.188E+01 cm3/s
+c) 7.907E+01 cm3/s
-d) 8.697E+01 cm3/s
-e) 9.567E+01 cm3/s

3) The current through the windings of a solenoid with n= 1.820E+03 turns per meter is changing at a rate dI/dt=7 A/s. The solenoid is 78 cm long and has a cross-sectional diameter of 3.26 cm. A small coil consisting of N=35turns wraped in a circle of diameter 1.68 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) 1.242E-04 V
-b) 1.366E-04 V
-c) 1.503E-04 V
-d) 1.653E-04 V
-e) 1.819E-04 V

### QB:Ch 13:V1

QB153089888025

1) 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

2) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.274 m. The magnetic field is spatially uniform but decays in time according to ${\displaystyle (1.84)e^{-\alpha t}}$, where ${\displaystyle \alpha =}$9.59 s. What is the current in the coil if the impedance of the coil is 33.0 Ω?

a) 7.007E-02 A
b) 7.708E-02 A
c) 8.479E-02 A
d) 9.327E-02 A
e) 1.026E-01 A
3)
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

#### KEY:QB:Ch 13:V1

QB153089888025

1) 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

2) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.274 m. The magnetic field is spatially uniform but decays in time according to ${\displaystyle (1.84)e^{-\alpha t}}$, where ${\displaystyle \alpha =}$9.59 s. What is the current in the coil if the impedance of the coil is 33.0 Ω?

-a) 7.007E-02 A
-b) 7.708E-02 A
+c) 8.479E-02 A
-d) 9.327E-02 A
-e) 1.026E-01 A
3)
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

### QB:Ch 13:V2

QB153089888025

1) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.655 m. The magnetic field is spatially uniform but decays in time according to ${\displaystyle (5.62)e^{-\alpha t}}$, where ${\displaystyle \alpha =}$9.62 s. What is the current in the coil if the impedance of the coil is 48.9 Ω?

a) 7.890E-01 A
b) 8.679E-01 A
c) 9.547E-01 A
d) 1.050E+00 A
e) 1.155E+00 A
2)
A cylinder of height 2.58 cm and radius 9.47 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 3.62 cm from point O and moves at a speed of 4.7 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) 1.128E+02 cm3/s
b) 1.241E+02 cm3/s
c) 1.365E+02 cm3/s
d) 1.502E+02 cm3/s
e) 1.652E+02 cm3/s

3) The current through the windings of a solenoid with n= 2.400E+03 turns per meter is changing at a rate dI/dt=3 A/s. The solenoid is 93 cm long and has a cross-sectional diameter of 2.13 cm. A small coil consisting of N=30turns wraped in a circle of diameter 1.35 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) 3.885E-05 V
b) 4.274E-05 V
c) 4.701E-05 V
d) 5.171E-05 V
e) 5.688E-05 V

#### KEY:QB:Ch 13:V2

QB153089888025

1) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.655 m. The magnetic field is spatially uniform but decays in time according to ${\displaystyle (5.62)e^{-\alpha t}}$, where ${\displaystyle \alpha =}$9.62 s. What is the current in the coil if the impedance of the coil is 48.9 Ω?

+a) 7.890E-01 A
-b) 8.679E-01 A
-c) 9.547E-01 A
-d) 1.050E+00 A
-e) 1.155E+00 A
2)
A cylinder of height 2.58 cm and radius 9.47 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 3.62 cm from point O and moves at a speed of 4.7 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) 1.128E+02 cm3/s
-b) 1.241E+02 cm3/s
-c) 1.365E+02 cm3/s
+d) 1.502E+02 cm3/s
-e) 1.652E+02 cm3/s

3) The current through the windings of a solenoid with n= 2.400E+03 turns per meter is changing at a rate dI/dt=3 A/s. The solenoid is 93 cm long and has a cross-sectional diameter of 2.13 cm. A small coil consisting of N=30turns wraped in a circle of diameter 1.35 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) 3.885E-05 V
-b) 4.274E-05 V
-c) 4.701E-05 V
-d) 5.171E-05 V
-e) 5.688E-05 V

### QB:Ch 14:V0

QB153089888025

1)
Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =1.55 s if ε = 5.97 V , R = 7.74 Ω, and L = 2.62 H?
a) 3.682E-01 V
b) 4.418E-01 V
c) 5.301E-01 V
d) 6.362E-01 V
e) 7.634E-01 V
2)
A long solenoid has a length 0.805 meters, radius 4.24 cm, and 536 turns. It surrounds coil of radius 8.5 meters and 16turns. If the current in the solenoid is changing at a rate of 278 A/s, what is the emf induced in the surounding coil?
a) 6.604E-02 V
b) 7.264E-02 V
c) 7.990E-02 V
d) 8.789E-02 V
e) 9.668E-02 V

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:V0

QB153089888025

1)
Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =1.55 s if ε = 5.97 V , R = 7.74 Ω, and L = 2.62 H?
-a) 3.682E-01 V
-b) 4.418E-01 V
-c) 5.301E-01 V
-d) 6.362E-01 V
+e) 7.634E-01 V
2)
A long solenoid has a length 0.805 meters, radius 4.24 cm, and 536 turns. It surrounds coil of radius 8.5 meters and 16turns. If the current in the solenoid is changing at a rate of 278 A/s, what is the emf induced in the surounding coil?
+a) 6.604E-02 V
-b) 7.264E-02 V
-c) 7.990E-02 V
-d) 8.789E-02 V
-e) 9.668E-02 V

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 14:V1

QB153089888025

1) In an LC circuit, the self-inductance is 0.0815 H and the capacitance is 6.520E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 8.410E-05 C. How long does it take for the capacitor to become completely discharged?

a) 7.821E-04 s
b) 8.603E-04 s
c) 9.463E-04 s
d) 1.041E-03 s
e) 1.145E-03 s
2)
Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =5.9 s if ε = 7.85 V , R = 6.89 Ω, and L = 7.36 H?
a) 6.567E-01 V
b) 7.880E-01 V
c) 9.456E-01 V
d) 1.135E+00 V
e) 1.362E+00 V
3)
A long solenoid has a length 0.703 meters, radius 4.03 cm, and 542 turns. It surrounds coil of radius 6.58 meters and 9turns. If the current in the solenoid is changing at a rate of 208 A/s, what is the emf induced in the surounding coil?
a) 2.643E-02 V
b) 2.907E-02 V
c) 3.198E-02 V
d) 3.518E-02 V
e) 3.869E-02 V

#### KEY:QB:Ch 14:V1

QB153089888025

1) In an LC circuit, the self-inductance is 0.0815 H and the capacitance is 6.520E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 8.410E-05 C. How long does it take for the capacitor to become completely discharged?

-a) 7.821E-04 s
-b) 8.603E-04 s
-c) 9.463E-04 s
-d) 1.041E-03 s
+e) 1.145E-03 s
2)
Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =5.9 s if ε = 7.85 V , R = 6.89 Ω, and L = 7.36 H?
-a) 6.567E-01 V
-b) 7.880E-01 V
-c) 9.456E-01 V
+d) 1.135E+00 V
-e) 1.362E+00 V
3)
A long solenoid has a length 0.703 meters, radius 4.03 cm, and 542 turns. It surrounds coil of radius 6.58 meters and 9turns. If the current in the solenoid is changing at a rate of 208 A/s, what is the emf induced in the surounding coil?
-a) 2.643E-02 V
+b) 2.907E-02 V
-c) 3.198E-02 V
-d) 3.518E-02 V
-e) 3.869E-02 V

### QB:Ch 14:V2

QB153089888025

1)
A long solenoid has a length 0.805 meters, radius 4.24 cm, and 536 turns. It surrounds coil of radius 8.5 meters and 16turns. If the current in the solenoid is changing at a rate of 278 A/s, what is the emf induced in the surounding coil?
a) 6.604E-02 V
b) 7.264E-02 V
c) 7.990E-02 V
d) 8.789E-02 V
e) 9.668E-02 V

2) In an LC circuit, the self-inductance is 0.0116 H and the capacitance is 7.040E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 6.140E-05 C. How long does it take for the capacitor to become completely discharged?

a) 4.489E-04 s
b) 4.938E-04 s
c) 5.432E-04 s
d) 5.975E-04 s
e) 6.572E-04 s
3)
Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =6.88 s if ε = 2.58 V , R = 5.69 Ω, and L = 6.94 H?
a) 4.518E-01 V
b) 5.422E-01 V
c) 6.506E-01 V
d) 7.807E-01 V
e) 9.369E-01 V

#### KEY:QB:Ch 14:V2

QB153089888025

1)
A long solenoid has a length 0.805 meters, radius 4.24 cm, and 536 turns. It surrounds coil of radius 8.5 meters and 16turns. If the current in the solenoid is changing at a rate of 278 A/s, what is the emf induced in the surounding coil?
+a) 6.604E-02 V
-b) 7.264E-02 V
-c) 7.990E-02 V
-d) 8.789E-02 V
-e) 9.668E-02 V

2) In an LC circuit, the self-inductance is 0.0116 H and the capacitance is 7.040E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 6.140E-05 C. How long does it take for the capacitor to become completely discharged?

+a) 4.489E-04 s
-b) 4.938E-04 s
-c) 5.432E-04 s
-d) 5.975E-04 s
-e) 6.572E-04 s
3)
Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =6.88 s if ε = 2.58 V , R = 5.69 Ω, and L = 6.94 H?
+a) 4.518E-01 V
-b) 5.422E-01 V
-c) 6.506E-01 V
-d) 7.807E-01 V
-e) 9.369E-01 V

### QB:Ch 15:V0

QB153089888025

1) 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

2) 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

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, XL, XC). Since Q is calculatedat resonance, XL,  XC 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

#### KEY:QB:Ch 15:V0

QB153089888025

1) 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

2) 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

3) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, XL, XC). Since Q is calculatedat resonance, XL,  XC 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

### QB:Ch 15:V1

QB153089888025

1) A step-down transformer steps 16 kV down to 210 V. The high-voltage input is provided by a 200 Ω power line that carries 7 A of currentWhat is the output current (at the 210 V side ?)

a) 4.007E+02 A
b) 4.408E+02 A
c) 4.848E+02 A
d) 5.333E+02 A
e) 5.867E+02 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, XL, XC). Since Q is calculatedat resonance, XL,  XC 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=5 V. The resistance, inductance, and capacitance are R =0.17 Ω, L= 4.40E-03H , and C=3.40E-06 F, respectively.

a) Q = 1.391E+02
b) Q = 1.600E+02
c) Q = 1.840E+02
d) Q = 2.116E+02
e) Q = 2.434E+02

3) The output of an ac generator connected to an RLC series combination has a frequency of 1.00E+03 Hz and an amplitude of 0.6 V;. If R =3 Ω, L= 1.70E-03H , and C=5.40E-04 F, what is the impedance?

a) 8.123E+00 Ω
b) 8.935E+00 Ω
c) 9.828E+00 Ω
d) 1.081E+01 Ω
e) 1.189E+01 Ω

#### KEY:QB:Ch 15:V1

QB153089888025

1) A step-down transformer steps 16 kV down to 210 V. The high-voltage input is provided by a 200 Ω power line that carries 7 A of currentWhat is the output current (at the 210 V side ?)

-a) 4.007E+02 A
-b) 4.408E+02 A
-c) 4.848E+02 A
+d) 5.333E+02 A
-e) 5.867E+02 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, XL, XC). Since Q is calculatedat resonance, XL,  XC 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=5 V. The resistance, inductance, and capacitance are R =0.17 Ω, L= 4.40E-03H , and C=3.40E-06 F, respectively.

-a) Q = 1.391E+02
-b) Q = 1.600E+02
-c) Q = 1.840E+02
+d) Q = 2.116E+02
-e) Q = 2.434E+02

3) The output of an ac generator connected to an RLC series combination has a frequency of 1.00E+03 Hz and an amplitude of 0.6 V;. If R =3 Ω, L= 1.70E-03H , and C=5.40E-04 F, what is the impedance?

-a) 8.123E+00 Ω
-b) 8.935E+00 Ω
-c) 9.828E+00 Ω
+d) 1.081E+01 Ω
-e) 1.189E+01 Ω

### QB:Ch 15:V2

QB153089888025

1) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, XL, XC). Since Q is calculatedat resonance, XL,  XC 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=5 V. The resistance, inductance, and capacitance are R =0.17 Ω, L= 4.40E-03H , and C=3.40E-06 F, respectively.

a) Q = 1.391E+02
b) Q = 1.600E+02
c) Q = 1.840E+02
d) Q = 2.116E+02
e) Q = 2.434E+02

2) The output of an ac generator connected to an RLC series combination has a frequency of 690 Hz and an amplitude of 0.4 V;. If R =3 Ω, L= 3.00E-03H , and C=8.30E-04 F, what is the impedance?

a) 1.308E+01 Ω
b) 1.438E+01 Ω
c) 1.582E+01 Ω
d) 1.741E+01 Ω
e) 1.915E+01 Ω

3) A step-down transformer steps 9 kV down to 210 V. The high-voltage input is provided by a 170 Ω power line that carries 5 A of currentWhat is the output current (at the 210 V side ?)

a) 1.948E+02 A
b) 2.143E+02 A
c) 2.357E+02 A
d) 2.593E+02 A
e) 2.852E+02 A

#### KEY:QB:Ch 15:V2

QB153089888025

1) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, XL, XC). Since Q is calculatedat resonance, XL,  XC 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=5 V. The resistance, inductance, and capacitance are R =0.17 Ω, L= 4.40E-03H , and C=3.40E-06 F, respectively.

-a) Q = 1.391E+02
-b) Q = 1.600E+02
-c) Q = 1.840E+02
+d) Q = 2.116E+02
-e) Q = 2.434E+02

2) The output of an ac generator connected to an RLC series combination has a frequency of 690 Hz and an amplitude of 0.4 V;. If R =3 Ω, L= 3.00E-03H , and C=8.30E-04 F, what is the impedance?

+a) 1.308E+01 Ω
-b) 1.438E+01 Ω
-c) 1.582E+01 Ω
-d) 1.741E+01 Ω
-e) 1.915E+01 Ω

3) A step-down transformer steps 9 kV down to 210 V. The high-voltage input is provided by a 170 Ω power line that carries 5 A of currentWhat is the output current (at the 210 V side ?)

-a) 1.948E+02 A
+b) 2.143E+02 A
-c) 2.357E+02 A
-d) 2.593E+02 A
-e) 2.852E+02 A

### QB:Ch 16:V0

QB153089888025

1) 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
2)
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
3)
A parallel plate capacitor with a capicatnce C=1.30E-06 F whose plates have an area A=1.10E+03 m2 and separation d=7.60E-03 m is connected via a swith to a 80 Ω resistor and a battery of voltage V0=5 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=2.30E-04?
a) 4.842E+02 V/m
b) 5.326E+02 V/m
c) 5.858E+02 V/m
d) 6.444E+02 V/m
e) 7.089E+02 V/m

#### KEY:QB:Ch 16:V0

QB153089888025

1) 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
2)
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
3)
A parallel plate capacitor with a capicatnce C=1.30E-06 F whose plates have an area A=1.10E+03 m2 and separation d=7.60E-03 m is connected via a swith to a 80 Ω resistor and a battery of voltage V0=5 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=2.30E-04?
-a) 4.842E+02 V/m
-b) 5.326E+02 V/m
+c) 5.858E+02 V/m
-d) 6.444E+02 V/m
-e) 7.089E+02 V/m

### QB:Ch 16:V1

QB153089888025

1)
A parallel plate capacitor with a capicatnce C=4.30E-06 F whose plates have an area A=2.80E+03 m2 and separation d=5.70E-03 m is connected via a swith to a 7 Ω resistor and a battery of voltage V0=97 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=7.00E-05?
a) 1.049E+04 V/m
b) 1.154E+04 V/m
c) 1.269E+04 V/m
d) 1.396E+04 V/m
e) 1.535E+04 V/m

2) 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
3)
A parallel plate capacitor with a capicatnce C=5.70E-06 F whose plates have an area A=3.20E+03 m2 and separation d=5.00E-03 m is connected via a swith to a 27 Ω resistor and a battery of voltage V0=80 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=1.60E-04?
a) 9.524E-01 A
b) 1.048E+00 A
c) 1.152E+00 A
d) 1.268E+00 A
e) 1.394E+00 A

#### KEY:QB:Ch 16:V1

QB153089888025

1)
A parallel plate capacitor with a capicatnce C=4.30E-06 F whose plates have an area A=2.80E+03 m2 and separation d=5.70E-03 m is connected via a swith to a 7 Ω resistor and a battery of voltage V0=97 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=7.00E-05?
-a) 1.049E+04 V/m
-b) 1.154E+04 V/m
-c) 1.269E+04 V/m
-d) 1.396E+04 V/m
+e) 1.535E+04 V/m

2) 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
3)
A parallel plate capacitor with a capicatnce C=5.70E-06 F whose plates have an area A=3.20E+03 m2 and separation d=5.00E-03 m is connected via a swith to a 27 Ω resistor and a battery of voltage V0=80 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=1.60E-04?
-a) 9.524E-01 A
+b) 1.048E+00 A
-c) 1.152E+00 A
-d) 1.268E+00 A
-e) 1.394E+00 A

### QB:Ch 16:V2

QB153089888025

1)
A parallel plate capacitor with a capicatnce C=6.60E-06 F whose plates have an area A=4.90E+03 m2 and separation d=6.60E-03 m is connected via a swith to a 20 Ω resistor and a battery of voltage V0=59 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=1.70E-04?
a) 8.138E-01 A
b) 8.952E-01 A
c) 9.847E-01 A
d) 1.083E+00 A
e) 1.191E+00 A
2)
A parallel plate capacitor with a capicatnce C=4.50E-06 F whose plates have an area A=3.30E+03 m2 and separation d=6.40E-03 m is connected via a swith to a 83 Ω resistor and a battery of voltage V0=56 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-03?
a) 7.767E+03 V/m
b) 8.544E+03 V/m
c) 9.398E+03 V/m
d) 1.034E+04 V/m
e) 1.137E+04 V/m

3) 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

#### KEY:QB:Ch 16:V2

QB153089888025

1)
A parallel plate capacitor with a capicatnce C=6.60E-06 F whose plates have an area A=4.90E+03 m2 and separation d=6.60E-03 m is connected via a swith to a 20 Ω resistor and a battery of voltage V0=59 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=1.70E-04?
+a) 8.138E-01 A
-b) 8.952E-01 A
-c) 9.847E-01 A
-d) 1.083E+00 A
-e) 1.191E+00 A
2)
A parallel plate capacitor with a capicatnce C=4.50E-06 F whose plates have an area A=3.30E+03 m2 and separation d=6.40E-03 m is connected via a swith to a 83 Ω resistor and a battery of voltage V0=56 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-03?
-a) 7.767E+03 V/m
+b) 8.544E+03 V/m
-c) 9.398E+03 V/m
-d) 1.034E+04 V/m
-e) 1.137E+04 V/m

3) 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