# Quizbank/Electricity and Magnetism (calculus based)/QB153099154226

QB153099154226

### QB:Ch 5:V0

QB153099154226

1)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=6\times 10^{-7}{\text{m}}}$.what angle does the force on ${\displaystyle q_{2}}$ make above the ${\displaystyle -x}$ axis if ${\displaystyle q_{1}=2e}$, ${\displaystyle q_{2}=-9e}$, and ${\displaystyle q_{3}=5e}$?
a) 5.272E+01 degrees
b) 5.799E+01 degrees
c) 6.379E+01 degrees
d) 7.017E+01 degrees
e) 7.719E+01 degrees
2)
${\displaystyle E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx}$
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=1.5 m. Evaluate ${\displaystyle f(x,y)}$ at x=1.0 m if a=1.1 m, b=1.4 m. The total charge on the rod is 5 nC.
a) 4.602E+00 V/m2
b) 5.062E+00 V/m2
c) 5.568E+00 V/m2
d) 6.125E+00 V/m2
e) 6.738E+00 V/m2

3) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

a) 9.546E+01 N/C
b) 1.050E+02 N/C
c) 1.155E+02 N/C
d) 1.271E+02 N/C
e) 1.398E+02 N/C

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

QB153099154226

1)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=6\times 10^{-7}{\text{m}}}$.what angle does the force on ${\displaystyle q_{2}}$ make above the ${\displaystyle -x}$ axis if ${\displaystyle q_{1}=2e}$, ${\displaystyle q_{2}=-9e}$, and ${\displaystyle q_{3}=5e}$?
-a) 5.272E+01 degrees
+b) 5.799E+01 degrees
-c) 6.379E+01 degrees
-d) 7.017E+01 degrees
-e) 7.719E+01 degrees
2)
${\displaystyle E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx}$
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=1.5 m. Evaluate ${\displaystyle f(x,y)}$ at x=1.0 m if a=1.1 m, b=1.4 m. The total charge on the rod is 5 nC.
+a) 4.602E+00 V/m2
-b) 5.062E+00 V/m2
-c) 5.568E+00 V/m2
-d) 6.125E+00 V/m2
-e) 6.738E+00 V/m2

3) A large thin isolated square plate has an area of 4 m2. It is uniformly charged with 9 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

-a) 9.546E+01 N/C
-b) 1.050E+02 N/C
-c) 1.155E+02 N/C
+d) 1.271E+02 N/C
-e) 1.398E+02 N/C

### QB:Ch 5:V1

QB153099154226

1)
${\displaystyle E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx}$
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.4 m. Evaluate ${\displaystyle f(x,y)}$ at x=1.1 m if a=0.69 m, b=2.2 m. The total charge on the rod is 6 nC.
a) 3.161E+00 V/m2
b) 3.477E+00 V/m2
c) 3.825E+00 V/m2
d) 4.208E+00 V/m2
e) 4.628E+00 V/m2
2)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=2\times 10^{-7}{\text{m}}}$.what angle does the force on ${\displaystyle q_{2}}$ make above the ${\displaystyle -x}$ axis if ${\displaystyle q_{1}=2e}$, ${\displaystyle q_{2}=-7e}$, and ${\displaystyle q_{3}=3e}$?
a) 4.743E+01 degrees
b) 5.217E+01 degrees
c) 5.739E+01 degrees
d) 6.313E+01 degrees
e) 6.944E+01 degrees

3) A large thin isolated square plate has an area of 4 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) 4.821E+01 N/C
b) 5.303E+01 N/C
c) 5.834E+01 N/C
d) 6.417E+01 N/C
e) 7.059E+01 N/C

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

QB153099154226

1)
${\displaystyle E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx}$
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.4 m. Evaluate ${\displaystyle f(x,y)}$ at x=1.1 m if a=0.69 m, b=2.2 m. The total charge on the rod is 6 nC.
-a) 3.161E+00 V/m2
-b) 3.477E+00 V/m2
-c) 3.825E+00 V/m2
-d) 4.208E+00 V/m2
+e) 4.628E+00 V/m2
2)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=2\times 10^{-7}{\text{m}}}$.what angle does the force on ${\displaystyle q_{2}}$ make above the ${\displaystyle -x}$ axis if ${\displaystyle q_{1}=2e}$, ${\displaystyle q_{2}=-7e}$, and ${\displaystyle q_{3}=3e}$?
-a) 4.743E+01 degrees
-b) 5.217E+01 degrees
-c) 5.739E+01 degrees
-d) 6.313E+01 degrees
+e) 6.944E+01 degrees

3) A large thin isolated square plate has an area of 4 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) 4.821E+01 N/C
-b) 5.303E+01 N/C
-c) 5.834E+01 N/C
-d) 6.417E+01 N/C
+e) 7.059E+01 N/C

### QB:Ch 5:V2

QB153099154226

1) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

a) 9.412E+01 N/C
b) 1.035E+02 N/C
c) 1.139E+02 N/C
d) 1.253E+02 N/C
e) 1.378E+02 N/C
2)
${\displaystyle E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx}$
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=1.5 m. Evaluate ${\displaystyle f(x,y)}$ at x=1.1 m if a=0.62 m, b=1.3 m. The total charge on the rod is 7 nC.
a) 6.311E+00 V/m2
b) 6.943E+00 V/m2
c) 7.637E+00 V/m2
d) 8.401E+00 V/m2
e) 9.241E+00 V/m2
3)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=2\times 10^{-7}{\text{m}}}$.what angle does the force on ${\displaystyle q_{2}}$ make above the ${\displaystyle -x}$ axis if ${\displaystyle q_{1}=3e}$, ${\displaystyle q_{2}=-9e}$, and ${\displaystyle q_{3}=5e}$?
a) 6.125E+01 degrees
b) 6.738E+01 degrees
c) 7.412E+01 degrees
d) 8.153E+01 degrees
e) 8.968E+01 degrees

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

QB153099154226

1) A large thin isolated square plate has an area of 3 m2. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 3 mm from the center of the plate's surface?

+a) 9.412E+01 N/C
-b) 1.035E+02 N/C
-c) 1.139E+02 N/C
-d) 1.253E+02 N/C
-e) 1.378E+02 N/C
2)
${\displaystyle E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx}$
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=1.5 m. Evaluate ${\displaystyle f(x,y)}$ at x=1.1 m if a=0.62 m, b=1.3 m. The total charge on the rod is 7 nC.
-a) 6.311E+00 V/m2
-b) 6.943E+00 V/m2
+c) 7.637E+00 V/m2
-d) 8.401E+00 V/m2
-e) 9.241E+00 V/m2
3)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=2\times 10^{-7}{\text{m}}}$.what angle does the force on ${\displaystyle q_{2}}$ make above the ${\displaystyle -x}$ axis if ${\displaystyle q_{1}=3e}$, ${\displaystyle q_{2}=-9e}$, and ${\displaystyle q_{3}=5e}$?
-a) 6.125E+01 degrees
+b) 6.738E+01 degrees
-c) 7.412E+01 degrees
-d) 8.153E+01 degrees
-e) 8.968E+01 degrees

### QB:Ch 6:V0

QB153099154226

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=2.6 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.6 m, z=z0=1.2 m, and z=z1=4.4 m. The surfaces in the yz plane each have area 14.0m2. Those in the xy plane have area 11.0m2 ,and those in the zx plane have area 8.3m2. An electric field of magnitude 9 N/C has components in the y and z directions and is directed at 39° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 4.809E+01 N·m2/C
b) 5.290E+01 N·m2/C
c) 5.819E+01 N·m2/C
d) 6.401E+01 N·m2/C
e) 7.041E+01 N·m2/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=4.9 m, z=z0=1.1 m, and z=z1=5.3 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 8.8m2 ,and those in the zx plane have area 10.0m2. An electric field of magnitude 9 N/C has components in the y and z directions and is directed at 50° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 5.439E+01 N·m2/C
b) 5.983E+01 N·m2/C
c) 6.581E+01 N·m2/C
d) 7.239E+01 N·m2/C
e) 7.963E+01 N·m2/C

3) 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 5.5 m from the center of the shells?

a) 5.058E+00 N/C
b) 5.564E+00 N/C
c) 6.120E+00 N/C
d) 6.732E+00 N/C
e) 7.405E+00 N/C

#### KEY:QB:Ch 6:V0

QB153099154226

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=2.6 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.6 m, z=z0=1.2 m, and z=z1=4.4 m. The surfaces in the yz plane each have area 14.0m2. Those in the xy plane have area 11.0m2 ,and those in the zx plane have area 8.3m2. An electric field of magnitude 9 N/C has components in the y and z directions and is directed at 39° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
-a) 4.809E+01 N·m2/C
-b) 5.290E+01 N·m2/C
+c) 5.819E+01 N·m2/C
-d) 6.401E+01 N·m2/C
-e) 7.041E+01 N·m2/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=4.9 m, z=z0=1.1 m, and z=z1=5.3 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 8.8m2 ,and those in the zx plane have area 10.0m2. An electric field of magnitude 9 N/C has components in the y and z directions and is directed at 50° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
-a) 5.439E+01 N·m2/C
-b) 5.983E+01 N·m2/C
-c) 6.581E+01 N·m2/C
+d) 7.239E+01 N·m2/C
-e) 7.963E+01 N·m2/C

3) 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 5.5 m from the center of the shells?

+a) 5.058E+00 N/C
-b) 5.564E+00 N/C
-c) 6.120E+00 N/C
-d) 6.732E+00 N/C
-e) 7.405E+00 N/C

### QB:Ch 6:V1

QB153099154226

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=2.7 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=4.4 m, z=z0=1.2 m, and z=z1=5.9 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 7.6m2 ,and those in the zx plane have area 13.0m2. An electric field of magnitude 8 N/C has components in the y and z directions and is directed at 46° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 4.988E+01 N·m2/C
b) 5.487E+01 N·m2/C
c) 6.035E+01 N·m2/C
d) 6.639E+01 N·m2/C
e) 7.303E+01 N·m2/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=2.0 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=4.4 m, z=z0=1.3 m, and z=z1=4.2 m. The surfaces in the yz plane each have area 9.0m2. Those in the xy plane have area 6.2m2 ,and those in the zx plane have area 5.8m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 32° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.695E+01 N·m2/C
b) 4.065E+01 N·m2/C
c) 4.472E+01 N·m2/C
d) 4.919E+01 N·m2/C
e) 5.411E+01 N·m2/C

3) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 7.6 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.8 m from the center of the shells?

a) 1.017E+01 N/C
b) 1.118E+01 N/C
c) 1.230E+01 N/C
d) 1.353E+01 N/C
e) 1.488E+01 N/C

#### KEY:QB:Ch 6:V1

QB153099154226

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=2.7 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=4.4 m, z=z0=1.2 m, and z=z1=5.9 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 7.6m2 ,and those in the zx plane have area 13.0m2. An electric field of magnitude 8 N/C has components in the y and z directions and is directed at 46° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
-a) 4.988E+01 N·m2/C
-b) 5.487E+01 N·m2/C
-c) 6.035E+01 N·m2/C
-d) 6.639E+01 N·m2/C
+e) 7.303E+01 N·m2/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=2.0 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=4.4 m, z=z0=1.3 m, and z=z1=4.2 m. The surfaces in the yz plane each have area 9.0m2. Those in the xy plane have area 6.2m2 ,and those in the zx plane have area 5.8m2. An electric field of magnitude 11 N/C has components in the y and z directions and is directed at 32° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
-a) 3.695E+01 N·m2/C
-b) 4.065E+01 N·m2/C
-c) 4.472E+01 N·m2/C
-d) 4.919E+01 N·m2/C
+e) 5.411E+01 N·m2/C

3) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 7.6 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.8 m from the center of the shells?

+a) 1.017E+01 N/C
-b) 1.118E+01 N/C
-c) 1.230E+01 N/C
-d) 1.353E+01 N/C
-e) 1.488E+01 N/C

### QB:Ch 6:V2

QB153099154226

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=2.6 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=5.4 m, z=z0=1.4 m, and z=z1=5.6 m. The surfaces in the yz plane each have area 16.0m2. Those in the xy plane have area 9.6m2 ,and those in the zx plane have area 11.0m2. An electric field of magnitude 15 N/C has components in the y and z directions and is directed at 33° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 8.921E+01 N·m2/C
b) 9.813E+01 N·m2/C
c) 1.079E+02 N·m2/C
d) 1.187E+02 N·m2/C
e) 1.306E+02 N·m2/C

2) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 1.9 nano-Coulombs. What is the magnitude of the electric field at a distance of 2.1 m from the center of the shells?

a) 5.297E+00 N/C
b) 5.827E+00 N/C
c) 6.409E+00 N/C
d) 7.050E+00 N/C
e) 7.755E+00 N/C
3)
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=1.7 m. The other four surfaces are rectangles in y=y0=1.9 m, y=y1=4.3 m, z=z0=1.7 m, and z=z1=5.7 m. The surfaces in the yz plane each have area 9.6m2. Those in the xy plane have area 4.1m2 ,and those in the zx plane have area 6.8m2. An electric field of magnitude 13 N/C has components in the y and z directions and is directed at 27° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 7.876E+01 N·m2/C
b) 8.664E+01 N·m2/C
c) 9.531E+01 N·m2/C
d) 1.048E+02 N·m2/C
e) 1.153E+02 N·m2/C

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

QB153099154226

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=2.6 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=5.4 m, z=z0=1.4 m, and z=z1=5.6 m. The surfaces in the yz plane each have area 16.0m2. Those in the xy plane have area 9.6m2 ,and those in the zx plane have area 11.0m2. An electric field of magnitude 15 N/C has components in the y and z directions and is directed at 33° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
+a) 8.921E+01 N·m2/C
-b) 9.813E+01 N·m2/C
-c) 1.079E+02 N·m2/C
-d) 1.187E+02 N·m2/C
-e) 1.306E+02 N·m2/C

2) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 1.9 nano-Coulombs. What is the magnitude of the electric field at a distance of 2.1 m from the center of the shells?

-a) 5.297E+00 N/C
-b) 5.827E+00 N/C
-c) 6.409E+00 N/C
-d) 7.050E+00 N/C
+e) 7.755E+00 N/C
3)
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=1.7 m. The other four surfaces are rectangles in y=y0=1.9 m, y=y1=4.3 m, z=z0=1.7 m, and z=z1=5.7 m. The surfaces in the yz plane each have area 9.6m2. Those in the xy plane have area 4.1m2 ,and those in the zx plane have area 6.8m2. An electric field of magnitude 13 N/C has components in the y and z directions and is directed at 27° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
+a) 7.876E+01 N·m2/C
-b) 8.664E+01 N·m2/C
-c) 9.531E+01 N·m2/C
-d) 1.048E+02 N·m2/C
-e) 1.153E+02 N·m2/C

### QB:Ch 7:V0

QB153099154226

1)
A Van de Graff generator has a 95 cm diameter metal sphere that produces 187 kV near its surface. What is the excess charge on the sphere?
a) 9.883E+00 μC
b) 1.087E+01 μC
c) 1.196E+01 μC
d) 1.315E+01 μC
e) 1.447E+01 μC
2)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=3 μC, q2=5 μC, q3=7 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
a) 5.998E+01 J
b) 6.598E+01 J
c) 7.257E+01 J
d) 7.983E+01 J
e) 8.781E+01 J

3) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?

a) 4.723E-01 mm
b) 5.432E-01 mm
c) 6.246E-01 mm
d) 7.183E-01 mm
e) 8.261E-01 mm

#### KEY:QB:Ch 7:V0

QB153099154226

1)
A Van de Graff generator has a 95 cm diameter metal sphere that produces 187 kV near its surface. What is the excess charge on the sphere?
+a) 9.883E+00 μC
-b) 1.087E+01 μC
-c) 1.196E+01 μC
-d) 1.315E+01 μC
-e) 1.447E+01 μC
2)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=3 μC, q2=5 μC, q3=7 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
+a) 5.998E+01 J
-b) 6.598E+01 J
-c) 7.257E+01 J
-d) 7.983E+01 J
-e) 8.781E+01 J

3) Two large parallel conducting plates are separated by 9.6 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 71 V?

-a) 4.723E-01 mm
-b) 5.432E-01 mm
-c) 6.246E-01 mm
-d) 7.183E-01 mm
+e) 8.261E-01 mm

### QB:Ch 7:V1

QB153099154226

1)
A Van de Graff generator has a 140 cm diameter metal sphere that produces 244 kV near its surface. What is the excess charge on the sphere?
a) 1.900E+01 μC
b) 2.090E+01 μC
c) 2.299E+01 μC
d) 2.529E+01 μC
e) 2.782E+01 μC

2) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 66 V?

a) 4.391E-01 mm
b) 5.049E-01 mm
c) 5.806E-01 mm
d) 6.677E-01 mm
e) 7.679E-01 mm
3)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=5 μC, q3=8 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
a) 3.444E+01 J
b) 3.789E+01 J
c) 4.168E+01 J
d) 4.585E+01 J
e) 5.043E+01 J

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

QB153099154226

1)
A Van de Graff generator has a 140 cm diameter metal sphere that produces 244 kV near its surface. What is the excess charge on the sphere?
+a) 1.900E+01 μC
-b) 2.090E+01 μC
-c) 2.299E+01 μC
-d) 2.529E+01 μC
-e) 2.782E+01 μC

2) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 66 V?

-a) 4.391E-01 mm
-b) 5.049E-01 mm
-c) 5.806E-01 mm
-d) 6.677E-01 mm
+e) 7.679E-01 mm
3)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=5 μC, q3=8 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
-a) 3.444E+01 J
-b) 3.789E+01 J
+c) 4.168E+01 J
-d) 4.585E+01 J
-e) 5.043E+01 J

### QB:Ch 7:V2

QB153099154226

1)
A Van de Graff generator has a 124 cm diameter metal sphere that produces 270 kV near its surface. What is the excess charge on the sphere?
a) 1.539E+01 μC
b) 1.693E+01 μC
c) 1.863E+01 μC
d) 2.049E+01 μC
e) 2.254E+01 μC

2) Two large parallel conducting plates are separated by 8.13 mm. Equal and opposite surface charges of 7.540E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 92 V?

a) 9.394E-01 mm
b) 1.080E+00 mm
c) 1.242E+00 mm
d) 1.429E+00 mm
e) 1.643E+00 mm
3)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=4 μC, q3=6 μC, and q4=8 μC. How much work was required to assemble these four charges from infinity?
a) 2.343E+01 J
b) 2.577E+01 J
c) 2.835E+01 J
d) 3.118E+01 J
e) 3.430E+01 J

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

QB153099154226

1)
A Van de Graff generator has a 124 cm diameter metal sphere that produces 270 kV near its surface. What is the excess charge on the sphere?
-a) 1.539E+01 μC
-b) 1.693E+01 μC
+c) 1.863E+01 μC
-d) 2.049E+01 μC
-e) 2.254E+01 μC

2) Two large parallel conducting plates are separated by 8.13 mm. Equal and opposite surface charges of 7.540E-07 C/m2 exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 92 V?

-a) 9.394E-01 mm
+b) 1.080E+00 mm
-c) 1.242E+00 mm
-d) 1.429E+00 mm
-e) 1.643E+00 mm
3)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=3 μC, q2=4 μC, q3=6 μC, and q4=8 μC. How much work was required to assemble these four charges from infinity?
-a) 2.343E+01 J
+b) 2.577E+01 J
-c) 2.835E+01 J
-d) 3.118E+01 J
-e) 3.430E+01 J

### QB:Ch 8:V0

QB153099154226

1)
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
2)
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

3) An empty parallel-plate capacitor with metal plates has an area of 1.81 m2, separated by 1.26 mm. How much charge does it store if the voltage is 4.610E+03 V?

a) 4.005E+01 μC
b) 4.405E+01 μC
c) 4.846E+01 μC
d) 5.330E+01 μC
e) 5.864E+01 μC

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

QB153099154226

1)
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
2)
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

3) An empty parallel-plate capacitor with metal plates has an area of 1.81 m2, separated by 1.26 mm. How much charge does it store if the voltage is 4.610E+03 V?

-a) 4.005E+01 μC
-b) 4.405E+01 μC
-c) 4.846E+01 μC
-d) 5.330E+01 μC
+e) 5.864E+01 μC

### QB:Ch 8:V1

QB153099154226

1)
What is the net capacitance if C1=4.12 μF, C2=3.45 μF, and C3=3.41 μF in the configuration shown?
a) 4.370E+00 μF
b) 4.807E+00 μF
c) 5.288E+00 μF
d) 5.816E+00 μF
e) 6.398E+00 μF

2) An empty parallel-plate capacitor with metal plates has an area of 1.94 m2, separated by 1.36 mm. How much charge does it store if the voltage is 8.530E+03 V?

a) 7.359E+01 μC
b) 8.094E+01 μC
c) 8.904E+01 μC
d) 9.794E+01 μC
e) 1.077E+02 μC
3)
In the figure shown C1=15.4 μF, C2=2.6 μF, and C3=5.17 μF. The voltage source provides ε=9.6 V. What is the energy stored in C2?
a) 1.508E+01 μJ
b) 1.659E+01 μJ
c) 1.825E+01 μJ
d) 2.007E+01 μJ
e) 2.208E+01 μJ

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

QB153099154226

1)
What is the net capacitance if C1=4.12 μF, C2=3.45 μF, and C3=3.41 μF in the configuration shown?
-a) 4.370E+00 μF
-b) 4.807E+00 μF
+c) 5.288E+00 μF
-d) 5.816E+00 μF
-e) 6.398E+00 μF

2) An empty parallel-plate capacitor with metal plates has an area of 1.94 m2, separated by 1.36 mm. How much charge does it store if the voltage is 8.530E+03 V?

-a) 7.359E+01 μC
-b) 8.094E+01 μC
-c) 8.904E+01 μC
-d) 9.794E+01 μC
+e) 1.077E+02 μC
3)
In the figure shown C1=15.4 μF, C2=2.6 μF, and C3=5.17 μF. The voltage source provides ε=9.6 V. What is the energy stored in C2?
-a) 1.508E+01 μJ
+b) 1.659E+01 μJ
-c) 1.825E+01 μJ
-d) 2.007E+01 μJ
-e) 2.208E+01 μJ

### QB:Ch 8:V2

QB153099154226

1)
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

2) An empty parallel-plate capacitor with metal plates has an area of 2.02 m2, separated by 1.44 mm. How much charge does it store if the voltage is 2.170E+03 V?

a) 2.450E+01 μC
b) 2.695E+01 μC
c) 2.965E+01 μC
d) 3.261E+01 μC
e) 3.587E+01 μC
3)
What is the net capacitance if C1=3.27 μF, C2=2.87 μF, and C3=3.23 μF in the configuration shown?
a) 3.250E+00 μF
b) 3.575E+00 μF
c) 3.933E+00 μF
d) 4.326E+00 μF
e) 4.758E+00 μF

#### KEY:QB:Ch 8:V2

QB153099154226

1)
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

2) An empty parallel-plate capacitor with metal plates has an area of 2.02 m2, separated by 1.44 mm. How much charge does it store if the voltage is 2.170E+03 V?

-a) 2.450E+01 μC
+b) 2.695E+01 μC
-c) 2.965E+01 μC
-d) 3.261E+01 μC
-e) 3.587E+01 μC
3)
What is the net capacitance if C1=3.27 μF, C2=2.87 μF, and C3=3.23 μF in the configuration shown?
-a) 3.250E+00 μF
-b) 3.575E+00 μF
-c) 3.933E+00 μF
-d) 4.326E+00 μF
+e) 4.758E+00 μF

### QB:Ch 9:V0

QB153099154226

1) A device requires consumes 81 W of power and requires 2.34 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.

a) 3.342E+05 A/m2
b) 3.677E+05 A/m2
c) 4.044E+05 A/m2
d) 4.449E+05 A/m2
e) 4.894E+05 A/m2

2) A make-believe metal has a density of 1.180E+04 kg/m3 and an atomic mass of 121.0 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) 4.010E+28 e/m3
b) 4.411E+28 e/m3
c) 4.852E+28 e/m3
d) 5.337E+28 e/m3
e) 5.871E+28 e/m3

3) The charge passing a plane intersecting a wire is ${\displaystyle Q_{M}=\left(1-e^{t/\tau }\right)}$, where ${\displaystyle Q_{M}}$=84 C and ${\displaystyle \tau =}$0.0199 s. What is the current at ${\displaystyle 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:V0

QB153099154226

1) A device requires consumes 81 W of power and requires 2.34 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.

-a) 3.342E+05 A/m2
-b) 3.677E+05 A/m2
-c) 4.044E+05 A/m2
+d) 4.449E+05 A/m2
-e) 4.894E+05 A/m2

2) A make-believe metal has a density of 1.180E+04 kg/m3 and an atomic mass of 121.0 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) 4.010E+28 e/m3
-b) 4.411E+28 e/m3
-c) 4.852E+28 e/m3
-d) 5.337E+28 e/m3
+e) 5.871E+28 e/m3

3) The charge passing a plane intersecting a wire is ${\displaystyle Q_{M}=\left(1-e^{t/\tau }\right)}$, where ${\displaystyle Q_{M}}$=84 C and ${\displaystyle \tau =}$0.0199 s. What is the current at ${\displaystyle 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 9:V1

QB153099154226

1) The charge passing a plane intersecting a wire is ${\displaystyle Q_{M}=\left(1-e^{t/\tau }\right)}$, where ${\displaystyle Q_{M}}$=63 C and ${\displaystyle \tau =}$0.0149 s. What is the current at ${\displaystyle t=}$0.0172 s?

a) 1.212E+03 A
b) 1.333E+03 A
c) 1.466E+03 A
d) 1.613E+03 A
e) 1.774E+03 A

2) A make-believe metal has a density of 3.530E+03 kg/m3 and an atomic mass of 10.5 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 1.673E+29 e/m3
b) 1.840E+29 e/m3
c) 2.024E+29 e/m3
d) 2.226E+29 e/m3
e) 2.449E+29 e/m3

3) A device requires consumes 78 W of power and requires 11.3 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.

a) 1.953E+06 A/m2
b) 2.148E+06 A/m2
c) 2.363E+06 A/m2
d) 2.599E+06 A/m2
e) 2.859E+06 A/m2

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

QB153099154226

1) The charge passing a plane intersecting a wire is ${\displaystyle Q_{M}=\left(1-e^{t/\tau }\right)}$, where ${\displaystyle Q_{M}}$=63 C and ${\displaystyle \tau =}$0.0149 s. What is the current at ${\displaystyle t=}$0.0172 s?

-a) 1.212E+03 A
+b) 1.333E+03 A
-c) 1.466E+03 A
-d) 1.613E+03 A
-e) 1.774E+03 A

2) A make-believe metal has a density of 3.530E+03 kg/m3 and an atomic mass of 10.5 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

-a) 1.673E+29 e/m3
-b) 1.840E+29 e/m3
+c) 2.024E+29 e/m3
-d) 2.226E+29 e/m3
-e) 2.449E+29 e/m3

3) A device requires consumes 78 W of power and requires 11.3 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.

-a) 1.953E+06 A/m2
+b) 2.148E+06 A/m2
-c) 2.363E+06 A/m2
-d) 2.599E+06 A/m2
-e) 2.859E+06 A/m2

### QB:Ch 9:V2

QB153099154226

1) A make-believe metal has a density of 8.060E+03 kg/m3 and an atomic mass of 19.7 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) 1.850E+29 e/m3
b) 2.036E+29 e/m3
c) 2.239E+29 e/m3
d) 2.463E+29 e/m3
e) 2.709E+29 e/m3

2) The charge passing a plane intersecting a wire is ${\displaystyle Q_{M}=\left(1-e^{t/\tau }\right)}$, where ${\displaystyle Q_{M}}$=85 C and ${\displaystyle \tau =}$0.021 s. What is the current at ${\displaystyle t=}$0.0128 s?

a) 1.503E+03 A
b) 1.653E+03 A
c) 1.818E+03 A
d) 2.000E+03 A
e) 2.200E+03 A

3) A device requires consumes 103 W of power and requires 6.3 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.

a) 8.999E+05 A/m2
b) 9.899E+05 A/m2
c) 1.089E+06 A/m2
d) 1.198E+06 A/m2
e) 1.317E+06 A/m2

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

QB153099154226

1) A make-believe metal has a density of 8.060E+03 kg/m3 and an atomic mass of 19.7 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) 1.850E+29 e/m3
-b) 2.036E+29 e/m3
-c) 2.239E+29 e/m3
+d) 2.463E+29 e/m3
-e) 2.709E+29 e/m3

2) The charge passing a plane intersecting a wire is ${\displaystyle Q_{M}=\left(1-e^{t/\tau }\right)}$, where ${\displaystyle Q_{M}}$=85 C and ${\displaystyle \tau =}$0.021 s. What is the current at ${\displaystyle t=}$0.0128 s?

-a) 1.503E+03 A
-b) 1.653E+03 A
-c) 1.818E+03 A
-d) 2.000E+03 A
+e) 2.200E+03 A

3) A device requires consumes 103 W of power and requires 6.3 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.

-a) 8.999E+05 A/m2
-b) 9.899E+05 A/m2
-c) 1.089E+06 A/m2
+d) 1.198E+06 A/m2
-e) 1.317E+06 A/m2

### QB:Ch 10:V0

QB153099154226

1)
Two sources of emf ε1=26.8 V, and ε2=10.1 V are oriented as shownin the circuit. The resistances are R1=2.2 kΩ and R2=2.55 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=2.29 mA and I4=0.464 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 3.436E+00 V
b) 3.779E+00 V
c) 4.157E+00 V
d) 4.573E+00 V
e) 5.030E+00 V
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 558 V. If the combined external and internal resistance is 198 &Omega and the capacitance is 80 mF, how long will it take for the capacitor's voltage to reach 345.0 V?
a) 1.146E+01 s
b) 1.261E+01 s
c) 1.387E+01 s
d) 1.525E+01 s
e) 1.678E+01 s

3) A given battery has a 13 V emf and an internal resistance of 0.113 Ω. If it is connected to a 0.686 Ω resistor what is the power dissipated by that load?

a) 1.501E+02 W
b) 1.651E+02 W
c) 1.816E+02 W
d) 1.998E+02 W
e) 2.197E+02 W

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

QB153099154226

1)
Two sources of emf ε1=26.8 V, and ε2=10.1 V are oriented as shownin the circuit. The resistances are R1=2.2 kΩ and R2=2.55 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=2.29 mA and I4=0.464 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
-a) 3.436E+00 V
-b) 3.779E+00 V
-c) 4.157E+00 V
-d) 4.573E+00 V
+e) 5.030E+00 V
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 558 V. If the combined external and internal resistance is 198 &Omega and the capacitance is 80 mF, how long will it take for the capacitor's voltage to reach 345.0 V?
-a) 1.146E+01 s
-b) 1.261E+01 s
-c) 1.387E+01 s
+d) 1.525E+01 s
-e) 1.678E+01 s

3) A given battery has a 13 V emf and an internal resistance of 0.113 Ω. If it is connected to a 0.686 Ω resistor what is the power dissipated by that load?

-a) 1.501E+02 W
-b) 1.651E+02 W
+c) 1.816E+02 W
-d) 1.998E+02 W
-e) 2.197E+02 W

### QB:Ch 10:V1

QB153099154226

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 190 V. If the combined external and internal resistance is 255 &Omega and the capacitance is 54 mF, how long will it take for the capacitor's voltage to reach 101.0 V?
a) 1.044E+01 s
b) 1.149E+01 s
c) 1.264E+01 s
d) 1.390E+01 s
e) 1.529E+01 s

2) A given battery has a 13 V emf and an internal resistance of 0.161 Ω. If it is connected to a 0.814 Ω resistor what is the power dissipated by that load?

a) 1.087E+02 W
b) 1.196E+02 W
c) 1.316E+02 W
d) 1.447E+02 W
e) 1.592E+02 W
3)
Two sources of emf ε1=57.0 V, and ε2=18.1 V are oriented as shownin the circuit. The resistances are R1=4.95 kΩ and R2=2.09 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=4.23 mA and I4=1.04 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 1.921E+01 V
b) 2.114E+01 V
c) 2.325E+01 V
d) 2.557E+01 V
e) 2.813E+01 V

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

QB153099154226

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 190 V. If the combined external and internal resistance is 255 &Omega and the capacitance is 54 mF, how long will it take for the capacitor's voltage to reach 101.0 V?
+a) 1.044E+01 s
-b) 1.149E+01 s
-c) 1.264E+01 s
-d) 1.390E+01 s
-e) 1.529E+01 s

2) A given battery has a 13 V emf and an internal resistance of 0.161 Ω. If it is connected to a 0.814 Ω resistor what is the power dissipated by that load?

-a) 1.087E+02 W
-b) 1.196E+02 W
-c) 1.316E+02 W
+d) 1.447E+02 W
-e) 1.592E+02 W
3)
Two sources of emf ε1=57.0 V, and ε2=18.1 V are oriented as shownin the circuit. The resistances are R1=4.95 kΩ and R2=2.09 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=4.23 mA and I4=1.04 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
-a) 1.921E+01 V
+b) 2.114E+01 V
-c) 2.325E+01 V
-d) 2.557E+01 V
-e) 2.813E+01 V

### QB:Ch 10:V2

QB153099154226

1)
Two sources of emf ε1=16.8 V, and ε2=7.15 V are oriented as shownin the circuit. The resistances are R1=3.12 kΩ and R2=1.51 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=1.95 mA and I4=0.603 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
a) 4.108E+00 V
b) 4.519E+00 V
c) 4.970E+00 V
d) 5.468E+00 V
e) 6.014E+00 V
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 190 V. If the combined external and internal resistance is 255 &Omega and the capacitance is 54 mF, how long will it take for the capacitor's voltage to reach 101.0 V?
a) 1.044E+01 s
b) 1.149E+01 s
c) 1.264E+01 s
d) 1.390E+01 s
e) 1.529E+01 s

3) A given battery has a 13 V emf and an internal resistance of 0.159 Ω. If it is connected to a 0.617 Ω resistor what is the power dissipated by that load?

a) 1.301E+02 W
b) 1.431E+02 W
c) 1.574E+02 W
d) 1.732E+02 W
e) 1.905E+02 W

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

QB153099154226

1)
Two sources of emf ε1=16.8 V, and ε2=7.15 V are oriented as shownin the circuit. The resistances are R1=3.12 kΩ and R2=1.51 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=1.95 mA and I4=0.603 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R1?
-a) 4.108E+00 V
+b) 4.519E+00 V
-c) 4.970E+00 V
-d) 5.468E+00 V
-e) 6.014E+00 V
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 190 V. If the combined external and internal resistance is 255 &Omega and the capacitance is 54 mF, how long will it take for the capacitor's voltage to reach 101.0 V?
+a) 1.044E+01 s
-b) 1.149E+01 s
-c) 1.264E+01 s
-d) 1.390E+01 s
-e) 1.529E+01 s

3) A given battery has a 13 V emf and an internal resistance of 0.159 Ω. If it is connected to a 0.617 Ω resistor what is the power dissipated by that load?

-a) 1.301E+02 W
-b) 1.431E+02 W
-c) 1.574E+02 W
+d) 1.732E+02 W
-e) 1.905E+02 W

### QB:Ch 11:V0

QB153099154226

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.91 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(4.96 i + 6.81 j  + 8.66 k) x 104 m/s?

a) 9.727E-14 N
b) 1.070E-13 N
c) 1.177E-13 N
d) 1.295E-13 N
e) 1.424E-13 N

2) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0243 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

a) 1.222E-06 s
b) 1.344E-06 s
c) 1.479E-06 s
d) 1.627E-06 s
e) 1.789E-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

QB153099154226

1) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 4.91 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(4.96 i + 6.81 j  + 8.66 k) x 104 m/s?

-a) 9.727E-14 N
+b) 1.070E-13 N
-c) 1.177E-13 N
-d) 1.295E-13 N
-e) 1.424E-13 N

2) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0243 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

+a) 1.222E-06 s
-b) 1.344E-06 s
-c) 1.479E-06 s
-d) 1.627E-06 s
-e) 1.789E-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

QB153099154226

1) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0172 T . It emerges after being deflected by 85° from its original direction. How much time did it spend in that magnetic field?

a) 1.627E-06 s
b) 1.790E-06 s
c) 1.969E-06 s
d) 2.166E-06 s
e) 2.382E-06 s

2) A long rigind wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.405 T magnetic field is directed 48° away from the wire?

a) 1.131E+00 N/m
b) 1.244E+00 N/m
c) 1.368E+00 N/m
d) 1.505E+00 N/m
e) 1.655E+00 N/m

3) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 6.96 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(7.01 i + 5.35 j  + 2.07 k) x 104 m/s?

a) 1.192E-13 N
b) 1.311E-13 N
c) 1.442E-13 N
d) 1.586E-13 N
e) 1.745E-13 N

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

QB153099154226

1) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0172 T . It emerges after being deflected by 85° from its original direction. How much time did it spend in that magnetic field?

-a) 1.627E-06 s
+b) 1.790E-06 s
-c) 1.969E-06 s
-d) 2.166E-06 s
-e) 2.382E-06 s

2) A long rigind wire carries a 5 A current. What is the magnetic force per unit length on the wire if a 0.405 T magnetic field is directed 48° away from the wire?

-a) 1.131E+00 N/m
-b) 1.244E+00 N/m
-c) 1.368E+00 N/m
+d) 1.505E+00 N/m
-e) 1.655E+00 N/m

3) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 6.96 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(7.01 i + 5.35 j  + 2.07 k) x 104 m/s?

+a) 1.192E-13 N
-b) 1.311E-13 N
-c) 1.442E-13 N
-d) 1.586E-13 N
-e) 1.745E-13 N

### QB:Ch 11:V2

QB153099154226

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

a) 8.890E-14 N
b) 9.779E-14 N
c) 1.076E-13 N
d) 1.183E-13 N
e) 1.302E-13 N

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

a) 2.697E+00 N/m
b) 2.967E+00 N/m
c) 3.263E+00 N/m
d) 3.590E+00 N/m
e) 3.948E+00 N/m

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0172 T . It emerges after being deflected by 85° from its original direction. How much time did it spend in that magnetic field?

a) 1.627E-06 s
b) 1.790E-06 s
c) 1.969E-06 s
d) 2.166E-06 s
e) 2.382E-06 s

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

QB153099154226

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

-a) 8.890E-14 N
-b) 9.779E-14 N
+c) 1.076E-13 N
-d) 1.183E-13 N
-e) 1.302E-13 N

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

-a) 2.697E+00 N/m
-b) 2.967E+00 N/m
+c) 3.263E+00 N/m
-d) 3.590E+00 N/m
-e) 3.948E+00 N/m

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0172 T . It emerges after being deflected by 85° from its original direction. How much time did it spend in that magnetic field?

-a) 1.627E-06 s
+b) 1.790E-06 s
-c) 1.969E-06 s
-d) 2.166E-06 s
-e) 2.382E-06 s

### QB:Ch 12:V0

QB153099154226

1) A wire carries a current of 306 A in a circular arc with radius 2.04 cm swept through 55 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?

a) 3.551E+00 Tesla
b) 3.907E+00 Tesla
c) 4.297E+00 Tesla
d) 4.727E+00 Tesla
e) 5.200E+00 Tesla

2) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 16 turns per centimeter and the current applied to the solenoid is 424 mA, the net magnetic field is measured to be 1.24 T. What is the magnetic susceptibility for this case?

a) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.092E+03
b) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.201E+03
c) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.321E+03
d) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.454E+03
e) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.599E+03
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=2.55 kA, I2=1.02 kA, and I3=1.81 kA, take the ${\displaystyle \beta }$ path and evalulate the line integral,
${\displaystyle \oint {\vec {B}}\cdot d{\vec {\ell }}}$:
a) 8.204E-04 T-m
b) 9.025E-04 T-m
c) 9.927E-04 T-m
d) 1.092E-03 T-m
e) 1.201E-03 T-m

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

QB153099154226

1) A wire carries a current of 306 A in a circular arc with radius 2.04 cm swept through 55 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?

-a) 3.551E+00 Tesla
-b) 3.907E+00 Tesla
-c) 4.297E+00 Tesla
+d) 4.727E+00 Tesla
-e) 5.200E+00 Tesla

2) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 16 turns per centimeter and the current applied to the solenoid is 424 mA, the net magnetic field is measured to be 1.24 T. What is the magnetic susceptibility for this case?

-a) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.092E+03
-b) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.201E+03
-c) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.321E+03
+d) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.454E+03
-e) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.599E+03
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=2.55 kA, I2=1.02 kA, and I3=1.81 kA, take the ${\displaystyle \beta }$ path and evalulate the line integral,
${\displaystyle \oint {\vec {B}}\cdot d{\vec {\ell }}}$:
-a) 8.204E-04 T-m
-b) 9.025E-04 T-m
+c) 9.927E-04 T-m
-d) 1.092E-03 T-m
-e) 1.201E-03 T-m

### QB:Ch 12:V1

QB153099154226

1) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 22 turns per centimeter and the current applied to the solenoid is 265 mA, the net magnetic field is measured to be 1.11 T. What is the magnetic susceptibility for this case?

a) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.376E+03
b) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.514E+03
c) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.666E+03
d) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.832E+03
e) ${\displaystyle \chi {\text{ (chi) }}=}$ 2.015E+03
2)
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=2.45 kA, I2=2.68 kA, and I3=5.5 kA, take the ${\displaystyle \beta }$ path and evalulate the line integral,
${\displaystyle \oint {\vec {B}}\cdot d{\vec {\ell }}}$:
a) 3.544E-03 T-m
b) 3.898E-03 T-m
c) 4.288E-03 T-m
d) 4.717E-03 T-m
e) 5.188E-03 T-m

3) A wire carries a current of 202 A in a circular arc with radius 2.17 cm swept through 51 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?

a) 2.473E+00 Tesla
b) 2.720E+00 Tesla
c) 2.992E+00 Tesla
d) 3.291E+00 Tesla
e) 3.620E+00 Tesla

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

QB153099154226

1) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 22 turns per centimeter and the current applied to the solenoid is 265 mA, the net magnetic field is measured to be 1.11 T. What is the magnetic susceptibility for this case?

-a) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.376E+03
+b) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.514E+03
-c) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.666E+03
-d) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.832E+03
-e) ${\displaystyle \chi {\text{ (chi) }}=}$ 2.015E+03
2)
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=2.45 kA, I2=2.68 kA, and I3=5.5 kA, take the ${\displaystyle \beta }$ path and evalulate the line integral,
${\displaystyle \oint {\vec {B}}\cdot d{\vec {\ell }}}$:
+a) 3.544E-03 T-m
-b) 3.898E-03 T-m
-c) 4.288E-03 T-m
-d) 4.717E-03 T-m
-e) 5.188E-03 T-m

3) A wire carries a current of 202 A in a circular arc with radius 2.17 cm swept through 51 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?

-a) 2.473E+00 Tesla
+b) 2.720E+00 Tesla
-c) 2.992E+00 Tesla
-d) 3.291E+00 Tesla
-e) 3.620E+00 Tesla

### QB:Ch 12:V2

QB153099154226

1) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 20 turns per centimeter and the current applied to the solenoid is 344 mA, the net magnetic field is measured to be 1.24 T. What is the magnetic susceptibility for this case?

a) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.185E+03
b) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.303E+03
c) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.433E+03
d) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.577E+03
e) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.734E+03

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

a) 1.285E+00 Tesla
b) 1.413E+00 Tesla
c) 1.554E+00 Tesla
d) 1.710E+00 Tesla
e) 1.881E+00 Tesla
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=2.43 kA, I2=1.81 kA, and I3=3.23 kA, take the ${\displaystyle \beta }$ path and evalulate the line integral,
${\displaystyle \oint {\vec {B}}\cdot d{\vec {\ell }}}$:
a) 1.622E-03 T-m
b) 1.784E-03 T-m
c) 1.963E-03 T-m
d) 2.159E-03 T-m
e) 2.375E-03 T-m

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

QB153099154226

1) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 20 turns per centimeter and the current applied to the solenoid is 344 mA, the net magnetic field is measured to be 1.24 T. What is the magnetic susceptibility for this case?

-a) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.185E+03
-b) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.303E+03
+c) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.433E+03
-d) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.577E+03
-e) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.734E+03

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

-a) 1.285E+00 Tesla
+b) 1.413E+00 Tesla
-c) 1.554E+00 Tesla
-d) 1.710E+00 Tesla
-e) 1.881E+00 Tesla
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=2.43 kA, I2=1.81 kA, and I3=3.23 kA, take the ${\displaystyle \beta }$ path and evalulate the line integral,
${\displaystyle \oint {\vec {B}}\cdot d{\vec {\ell }}}$:
-a) 1.622E-03 T-m
+b) 1.784E-03 T-m
-c) 1.963E-03 T-m
-d) 2.159E-03 T-m
-e) 2.375E-03 T-m

### QB:Ch 13:V0

QB153099154226

1) Calculate the motional emf induced along a 14.1 km conductor moving at an orbital speed of 7.8 km/s perpendicular to Earth's 4.910E-05 Tesla magnetic field.

a) 3.688E+03 V
b) 4.057E+03 V
c) 4.463E+03 V
d) 4.909E+03 V
e) 5.400E+03 V

2) A recangular coil with an area of 0.182 m2 and 5 turns is placed in a uniform magnetic field of 2.74 T. The coil is rotated about an axis that is perpendicular to this field. At time t=0 the normal to the coil is oriented parallel to the magnetic field and the coil is rotating with a constant angular frequency of 2.390E+03 s−1. What is the magnitude (absolute value) of the induced emf at t = 79 s?

a) 1.656E+03 V
b) 1.821E+03 V
c) 2.003E+03 V
d) 2.204E+03 V
e) 2.424E+03 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:V0

QB153099154226

1) Calculate the motional emf induced along a 14.1 km conductor moving at an orbital speed of 7.8 km/s perpendicular to Earth's 4.910E-05 Tesla magnetic field.

-a) 3.688E+03 V
-b) 4.057E+03 V
-c) 4.463E+03 V
-d) 4.909E+03 V
+e) 5.400E+03 V

2) A recangular coil with an area of 0.182 m2 and 5 turns is placed in a uniform magnetic field of 2.74 T. The coil is rotated about an axis that is perpendicular to this field. At time t=0 the normal to the coil is oriented parallel to the magnetic field and the coil is rotating with a constant angular frequency of 2.390E+03 s−1. What is the magnitude (absolute value) of the induced emf at t = 79 s?

+a) 1.656E+03 V
-b) 1.821E+03 V
-c) 2.003E+03 V
-d) 2.204E+03 V
-e) 2.424E+03 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 13:V1

QB153099154226

1) A recangular coil with an area of 0.897 m2 and 8 turns is placed in a uniform magnetic field of 2.83 T. The coil is rotated about an axis that is perpendicular to this field. At time t=0 the normal to the coil is oriented parallel to the magnetic field and the coil is rotating with a constant angular frequency of 8.740E+03 s−1. What is the magnitude (absolute value) of the induced emf at t = 3 s?

a) 4.695E+04 V
b) 5.165E+04 V
c) 5.681E+04 V
d) 6.249E+04 V
e) 6.874E+04 V

2) 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

3) Calculate the motional emf induced along a 25.2 km conductor moving at an orbital speed of 7.72 km/s perpendicular to Earth's 4.900E-05 Tesla magnetic field.

a) 7.162E+03 V
b) 7.878E+03 V
c) 8.666E+03 V
d) 9.533E+03 V
e) 1.049E+04 V

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

QB153099154226

1) A recangular coil with an area of 0.897 m2 and 8 turns is placed in a uniform magnetic field of 2.83 T. The coil is rotated about an axis that is perpendicular to this field. At time t=0 the normal to the coil is oriented parallel to the magnetic field and the coil is rotating with a constant angular frequency of 8.740E+03 s−1. What is the magnitude (absolute value) of the induced emf at t = 3 s?

+a) 4.695E+04 V
-b) 5.165E+04 V
-c) 5.681E+04 V
-d) 6.249E+04 V
-e) 6.874E+04 V

2) 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

3) Calculate the motional emf induced along a 25.2 km conductor moving at an orbital speed of 7.72 km/s perpendicular to Earth's 4.900E-05 Tesla magnetic field.

-a) 7.162E+03 V
-b) 7.878E+03 V
-c) 8.666E+03 V
+d) 9.533E+03 V
-e) 1.049E+04 V

### QB:Ch 13:V2

QB153099154226

1) The current through the windings of a solenoid with n= 2.100E+03 turns per meter is changing at a rate dI/dt=7 A/s. The solenoid is 91 cm long and has a cross-sectional diameter of 3.24 cm. A small coil consisting of N=22turns wraped in a circle of diameter 1.22 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) 3.245E-05 V
b) 3.569E-05 V
c) 3.926E-05 V
d) 4.319E-05 V
e) 4.751E-05 V

2) A recangular coil with an area of 0.291 m2 and 6 turns is placed in a uniform magnetic field of 2.63 T. The coil is rotated about an axis that is perpendicular to this field. At time t=0 the normal to the coil is oriented parallel to the magnetic field and the coil is rotating with a constant angular frequency of 7.130E+03 s−1. What is the magnitude (absolute value) of the induced emf at t = 35 s?

a) 1.490E+04 V
b) 1.639E+04 V
c) 1.803E+04 V
d) 1.983E+04 V
e) 2.181E+04 V

3) Calculate the motional emf induced along a 37.9 km conductor moving at an orbital speed of 7.84 km/s perpendicular to Earth's 5.410E-05 Tesla magnetic field.

a) 1.208E+04 V
b) 1.329E+04 V
c) 1.461E+04 V
d) 1.608E+04 V
e) 1.768E+04 V

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

QB153099154226

1) The current through the windings of a solenoid with n= 2.100E+03 turns per meter is changing at a rate dI/dt=7 A/s. The solenoid is 91 cm long and has a cross-sectional diameter of 3.24 cm. A small coil consisting of N=22turns wraped in a circle of diameter 1.22 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) 3.245E-05 V
-b) 3.569E-05 V
-c) 3.926E-05 V
-d) 4.319E-05 V
+e) 4.751E-05 V

2) A recangular coil with an area of 0.291 m2 and 6 turns is placed in a uniform magnetic field of 2.63 T. The coil is rotated about an axis that is perpendicular to this field. At time t=0 the normal to the coil is oriented parallel to the magnetic field and the coil is rotating with a constant angular frequency of 7.130E+03 s−1. What is the magnitude (absolute value) of the induced emf at t = 35 s?

-a) 1.490E+04 V
-b) 1.639E+04 V
-c) 1.803E+04 V
-d) 1.983E+04 V
+e) 2.181E+04 V

3) Calculate the motional emf induced along a 37.9 km conductor moving at an orbital speed of 7.84 km/s perpendicular to Earth's 5.410E-05 Tesla magnetic field.

-a) 1.208E+04 V
-b) 1.329E+04 V
-c) 1.461E+04 V
+d) 1.608E+04 V
-e) 1.768E+04 V

### QB:Ch 14:V0

QB153099154226

1)
A long solenoid has a length 0.667 meters, radius 4.41 cm, and 517 turns. It surrounds coil of radius 9.18 meters and 9turns. If the current in the solenoid is changing at a rate of 296 A/s, what is the emf induced in the surounding coil?
a) 4.116E-02 V
b) 4.528E-02 V
c) 4.981E-02 V
d) 5.479E-02 V
e) 6.027E-02 V
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 2.54% of its maximum value if ε = 2.46 V , R = 2.8 Ω, and L = 5.67 H?
a) -2.540E+00 s
b) -2.794E+00 s
c) -3.073E+00 s
d) -3.381E+00 s
e) -3.719E+00 s
3)
Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =3.8 s if ε = 3.36 V , R = 5.2 Ω, and L = 3.37 H?
a) 5.369E-01 V
b) 6.443E-01 V
c) 7.732E-01 V
d) 9.278E-01 V
e) 1.113E+00 V

#### KEY:QB:Ch 14:V0

QB153099154226

1)
A long solenoid has a length 0.667 meters, radius 4.41 cm, and 517 turns. It surrounds coil of radius 9.18 meters and 9turns. If the current in the solenoid is changing at a rate of 296 A/s, what is the emf induced in the surounding coil?
-a) 4.116E-02 V
-b) 4.528E-02 V
+c) 4.981E-02 V
-d) 5.479E-02 V
-e) 6.027E-02 V
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 2.54% of its maximum value if ε = 2.46 V , R = 2.8 Ω, and L = 5.67 H?
-a) -2.540E+00 s
-b) -2.794E+00 s
-c) -3.073E+00 s
-d) -3.381E+00 s
+e) -3.719E+00 s
3)
Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =3.8 s if ε = 3.36 V , R = 5.2 Ω, and L = 3.37 H?
-a) 5.369E-01 V
+b) 6.443E-01 V
-c) 7.732E-01 V
-d) 9.278E-01 V
-e) 1.113E+00 V

### QB:Ch 14:V1

QB153099154226

1)
A long solenoid has a length 0.89 meters, radius 3.01 cm, and 505 turns. It surrounds coil of radius 8.65 meters and 18turns. If the current in the solenoid is changing at a rate of 279 A/s, what is the emf induced in the surounding coil?
a) 2.646E-02 V
b) 2.911E-02 V
c) 3.202E-02 V
d) 3.522E-02 V
e) 3.874E-02 V
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)
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

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

QB153099154226

1)
A long solenoid has a length 0.89 meters, radius 3.01 cm, and 505 turns. It surrounds coil of radius 8.65 meters and 18turns. If the current in the solenoid is changing at a rate of 279 A/s, what is the emf induced in the surounding coil?
-a) 2.646E-02 V
-b) 2.911E-02 V
+c) 3.202E-02 V
-d) 3.522E-02 V
-e) 3.874E-02 V
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)
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

### QB:Ch 14:V2

QB153099154226

1)
Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =0.741 s if ε = 7.36 V , R = 5.33 Ω, and L = 1.27 H?
a) 7.635E-01 V
b) 9.162E-01 V
c) 1.099E+00 V
d) 1.319E+00 V
e) 1.583E+00 V
2)
A long solenoid has a length 0.559 meters, radius 4.6 cm, and 515 turns. It surrounds coil of radius 9.72 meters and 17turns. If the current in the solenoid is changing at a rate of 189 A/s, what is the emf induced in the surounding coil?
a) 7.062E-02 V
b) 7.768E-02 V
c) 8.545E-02 V
d) 9.400E-02 V
e) 1.034E-01 V
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 2.28% of its maximum value if ε = 7.39 V , R = 7.05 Ω, and L = 3.51 H?
a) -6.429E-01 s
b) -7.072E-01 s
c) -7.779E-01 s
d) -8.557E-01 s
e) -9.412E-01 s

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

QB153099154226

1)
Suppose switch S1 is suddenly closed at time t=0 in the figure shown. What is the current at t =0.741 s if ε = 7.36 V , R = 5.33 Ω, and L = 1.27 H?
-a) 7.635E-01 V
-b) 9.162E-01 V
-c) 1.099E+00 V
+d) 1.319E+00 V
-e) 1.583E+00 V
2)
A long solenoid has a length 0.559 meters, radius 4.6 cm, and 515 turns. It surrounds coil of radius 9.72 meters and 17turns. If the current in the solenoid is changing at a rate of 189 A/s, what is the emf induced in the surounding coil?
-a) 7.062E-02 V
+b) 7.768E-02 V
-c) 8.545E-02 V
-d) 9.400E-02 V
-e) 1.034E-01 V
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 2.28% of its maximum value if ε = 7.39 V , R = 7.05 Ω, and L = 3.51 H?
-a) -6.429E-01 s
-b) -7.072E-01 s
-c) -7.779E-01 s
-d) -8.557E-01 s
+e) -9.412E-01 s

### QB:Ch 15:V0

QB153099154226

1) An ac generator produces an emf of amplitude 24 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 96 mF inductor?

a) 3.014E-01 A
b) 3.316E-01 A
c) 3.647E-01 A
d) 4.012E-01 A
e) 4.413E-01 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 6.10E+04 Hz and an amplitude of 8 V. If R =5 Ω, L= 9.10E-03H , and C=8.80E-06 F, what is the rms power transferred to the resistor?

a) 4.320E-04 Watts
b) 4.752E-04 Watts
c) 5.227E-04 Watts
d) 5.750E-04 Watts
e) 6.325E-04 Watts

3) The output of an ac generator connected to an RLC series combination has a frequency of 290 Hz and an amplitude of 0.75 V;. If R =2 Ω, L= 8.00E-03H , and C=9.90E-04 F, what is the impedance?

a) 9.675E+00 Ω
b) 1.064E+01 Ω
c) 1.171E+01 Ω
d) 1.288E+01 Ω
e) 1.416E+01 Ω

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

QB153099154226

1) An ac generator produces an emf of amplitude 24 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 96 mF inductor?

-a) 3.014E-01 A
+b) 3.316E-01 A
-c) 3.647E-01 A
-d) 4.012E-01 A
-e) 4.413E-01 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 6.10E+04 Hz and an amplitude of 8 V. If R =5 Ω, L= 9.10E-03H , and C=8.80E-06 F, what is the rms power transferred to the resistor?

-a) 4.320E-04 Watts
-b) 4.752E-04 Watts
+c) 5.227E-04 Watts
-d) 5.750E-04 Watts
-e) 6.325E-04 Watts

3) The output of an ac generator connected to an RLC series combination has a frequency of 290 Hz and an amplitude of 0.75 V;. If R =2 Ω, L= 8.00E-03H , and C=9.90E-04 F, what is the impedance?

-a) 9.675E+00 Ω
-b) 1.064E+01 Ω
-c) 1.171E+01 Ω
-d) 1.288E+01 Ω
+e) 1.416E+01 Ω

### QB:Ch 15:V1

QB153099154226

1) An ac generator produces an emf of amplitude 70 V at a frequency of 63 Hz. What is the maximum amplitude of the current if the generator is connected to a 34 mF inductor?

a) 3.908E+00 A
b) 4.298E+00 A
c) 4.728E+00 A
d) 5.201E+00 A
e) 5.721E+00 A

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

a) 8.369E-03 Watts
b) 9.206E-03 Watts
c) 1.013E-02 Watts
d) 1.114E-02 Watts
e) 1.225E-02 Watts

3) The output of an ac generator connected to an RLC series combination has a frequency of 490 Hz and an amplitude of 0.68 V;. If R =9 Ω, L= 5.80E-03H , and C=9.50E-04 F, what is the impedance?

a) 1.969E+01 Ω
b) 2.166E+01 Ω
c) 2.383E+01 Ω
d) 2.621E+01 Ω
e) 2.883E+01 Ω

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

QB153099154226

1) An ac generator produces an emf of amplitude 70 V at a frequency of 63 Hz. What is the maximum amplitude of the current if the generator is connected to a 34 mF inductor?

-a) 3.908E+00 A
-b) 4.298E+00 A
-c) 4.728E+00 A
+d) 5.201E+00 A
-e) 5.721E+00 A

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

-a) 8.369E-03 Watts
+b) 9.206E-03 Watts
-c) 1.013E-02 Watts
-d) 1.114E-02 Watts
-e) 1.225E-02 Watts

3) The output of an ac generator connected to an RLC series combination has a frequency of 490 Hz and an amplitude of 0.68 V;. If R =9 Ω, L= 5.80E-03H , and C=9.50E-04 F, what is the impedance?

+a) 1.969E+01 Ω
-b) 2.166E+01 Ω
-c) 2.383E+01 Ω
-d) 2.621E+01 Ω
-e) 2.883E+01 Ω

### QB:Ch 15:V2

QB153099154226

1) The output of an ac generator connected to an RLC series combination has a frequency of 470 Hz and an amplitude of 0.67 V;. If R =4 Ω, L= 2.40E-03H , and C=5.10E-04 F, what is the impedance?

a) 6.254E+00 Ω
b) 6.879E+00 Ω
c) 7.567E+00 Ω
d) 8.324E+00 Ω
e) 9.156E+00 Ω

2) An ac generator produces an emf of amplitude 24 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 96 mF inductor?

a) 3.014E-01 A
b) 3.316E-01 A
c) 3.647E-01 A
d) 4.012E-01 A
e) 4.413E-01 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 5.70E+04 Hz and an amplitude of 5 V. If R =9 Ω, L= 6.10E-03H , and C=6.60E-06 F, what is the rms power transferred to the resistor?

a) 9.443E-04 Watts
b) 1.039E-03 Watts
c) 1.143E-03 Watts
d) 1.257E-03 Watts
e) 1.383E-03 Watts

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

QB153099154226

1) The output of an ac generator connected to an RLC series combination has a frequency of 470 Hz and an amplitude of 0.67 V;. If R =4 Ω, L= 2.40E-03H , and C=5.10E-04 F, what is the impedance?

-a) 6.254E+00 Ω
-b) 6.879E+00 Ω
+c) 7.567E+00 Ω
-d) 8.324E+00 Ω
-e) 9.156E+00 Ω

2) An ac generator produces an emf of amplitude 24 V at a frequency of 120 Hz. What is the maximum amplitude of the current if the generator is connected to a 96 mF inductor?

-a) 3.014E-01 A
+b) 3.316E-01 A
-c) 3.647E-01 A
-d) 4.012E-01 A
-e) 4.413E-01 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 5.70E+04 Hz and an amplitude of 5 V. If R =9 Ω, L= 6.10E-03H , and C=6.60E-06 F, what is the rms power transferred to the resistor?

+a) 9.443E-04 Watts
-b) 1.039E-03 Watts
-c) 1.143E-03 Watts
-d) 1.257E-03 Watts
-e) 1.383E-03 Watts

### QB:Ch 16:V0

QB153099154226

1) A 58 kW radio transmitter on Earth sends it signal to a satellite 120 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 88 kW?

a) 1.111E+02 km
b) 1.222E+02 km
c) 1.344E+02 km
d) 1.478E+02 km
e) 1.626E+02 km
2)
A parallel plate capacitor with a capicatnce C=9.40E-06 F whose plates have an area A=5.00E+03 m2 and separation d=4.70E-03 m is connected via a swith to a 62 Ω resistor and a battery of voltage V0=65 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=9.70E-04?
a) 1.985E-01 A
b) 2.183E-01 A
c) 2.401E-01 A
d) 2.642E-01 A
e) 2.906E-01 A

3) What is the radiation pressure on an object that is 2.40E+11 m away from the sun and has cross-sectional area of 0.019 m2? The average power output of the Sun is 3.80E+26 W.

a) 2.392E-06 N/m2
b) 2.631E-06 N/m2
c) 2.894E-06 N/m2
d) 3.184E-06 N/m2
e) 3.502E-06 N/m2

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

QB153099154226

1) A 58 kW radio transmitter on Earth sends it signal to a satellite 120 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 88 kW?

-a) 1.111E+02 km
-b) 1.222E+02 km
-c) 1.344E+02 km
+d) 1.478E+02 km
-e) 1.626E+02 km
2)
A parallel plate capacitor with a capicatnce C=9.40E-06 F whose plates have an area A=5.00E+03 m2 and separation d=4.70E-03 m is connected via a swith to a 62 Ω resistor and a battery of voltage V0=65 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=9.70E-04?
+a) 1.985E-01 A
-b) 2.183E-01 A
-c) 2.401E-01 A
-d) 2.642E-01 A
-e) 2.906E-01 A

3) What is the radiation pressure on an object that is 2.40E+11 m away from the sun and has cross-sectional area of 0.019 m2? The average power output of the Sun is 3.80E+26 W.

-a) 2.392E-06 N/m2
-b) 2.631E-06 N/m2
-c) 2.894E-06 N/m2
-d) 3.184E-06 N/m2
+e) 3.502E-06 N/m2

### QB:Ch 16:V1

QB153099154226

1) What is the radiation pressure on an object that is 9.70E+11 m away from the sun and has cross-sectional area of 0.098 m2? The average power output of the Sun is 3.80E+26 W.

a) 2.144E-07 N/m2
b) 2.358E-07 N/m2
c) 2.594E-07 N/m2
d) 2.854E-07 N/m2
e) 3.139E-07 N/m2
2)
A parallel plate capacitor with a capicatnce C=6.90E-06 F whose plates have an area A=5.80E+03 m2 and separation d=7.40E-03 m is connected via a swith to a 78 Ω resistor and a battery of voltage V0=70 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=2.50E-03?
a) 5.890E-03 A
b) 6.479E-03 A
c) 7.126E-03 A
d) 7.839E-03 A
e) 8.623E-03 A

3) A 58 kW radio transmitter on Earth sends it signal to a satellite 120 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) 1.418E+02 km
b) 1.560E+02 km
c) 1.716E+02 km
d) 1.887E+02 km
e) 2.076E+02 km

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

QB153099154226

1) What is the radiation pressure on an object that is 9.70E+11 m away from the sun and has cross-sectional area of 0.098 m2? The average power output of the Sun is 3.80E+26 W.

+a) 2.144E-07 N/m2
-b) 2.358E-07 N/m2
-c) 2.594E-07 N/m2
-d) 2.854E-07 N/m2
-e) 3.139E-07 N/m2
2)
A parallel plate capacitor with a capicatnce C=6.90E-06 F whose plates have an area A=5.80E+03 m2 and separation d=7.40E-03 m is connected via a swith to a 78 Ω resistor and a battery of voltage V0=70 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=2.50E-03?
-a) 5.890E-03 A
-b) 6.479E-03 A
-c) 7.126E-03 A
-d) 7.839E-03 A
+e) 8.623E-03 A

3) A 58 kW radio transmitter on Earth sends it signal to a satellite 120 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) 1.418E+02 km
+b) 1.560E+02 km
-c) 1.716E+02 km
-d) 1.887E+02 km
-e) 2.076E+02 km

### QB:Ch 16:V2

QB153099154226

1) What is the radiation pressure on an object that is 8.90E+11 m away from the sun and has cross-sectional area of 0.013 m2? The average power output of the Sun is 3.80E+26 W.

a) 2.315E-07 N/m2
b) 2.547E-07 N/m2
c) 2.801E-07 N/m2
d) 3.082E-07 N/m2
e) 3.390E-07 N/m2
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 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

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

QB153099154226

1) What is the radiation pressure on an object that is 8.90E+11 m away from the sun and has cross-sectional area of 0.013 m2? The average power output of the Sun is 3.80E+26 W.

-a) 2.315E-07 N/m2
+b) 2.547E-07 N/m2
-c) 2.801E-07 N/m2
-d) 3.082E-07 N/m2
-e) 3.390E-07 N/m2
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 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