# Quizbank/Electricity and Magnetism (calculus based)/QB153089888039

QB153089888039

## Contents

- 1 QB:Ch 5:V0
- 2 QB:Ch 5:V1
- 3 QB:Ch 5:V2
- 4 QB:Ch 6:V0
- 5 QB:Ch 6:V1
- 6 QB:Ch 6:V2
- 7 QB:Ch 7:V0
- 8 QB:Ch 7:V1
- 9 QB:Ch 7:V2
- 10 QB:Ch 8:V0
- 11 QB:Ch 8:V1
- 12 QB:Ch 8:V2
- 13 QB:Ch 9:V0
- 14 QB:Ch 9:V1
- 15 QB:Ch 9:V2
- 16 QB:Ch 10:V0
- 17 QB:Ch 10:V1
- 18 QB:Ch 10:V2
- 19 QB:Ch 11:V0
- 20 QB:Ch 11:V1
- 21 QB:Ch 11:V2
- 22 QB:Ch 12:V0
- 23 QB:Ch 12:V1
- 24 QB:Ch 12:V2
- 25 QB:Ch 13:V0
- 26 QB:Ch 13:V1
- 27 QB:Ch 13:V2
- 28 QB:Ch 14:V0
- 29 QB:Ch 14:V1
- 30 QB:Ch 14:V2
- 31 QB:Ch 15:V0
- 32 QB:Ch 15:V1
- 33 QB:Ch 15:V2
- 34 QB:Ch 16:V0
- 35 QB:Ch 16:V1
- 36 QB:Ch 16:V2

### QB:Ch 5:V0[edit]

QB153089888039

1)

is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

- a) 6.877E+00 V/m
^{2} - b) 7.565E+00 V/m
^{2} - c) 8.321E+00 V/m
^{2} - d) 9.153E+00 V/m
^{2} - e) 1.007E+01 V/m
^{2}

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=1.2 m. Evaluate at x=0.54 m if a=0.76 m, b=1.7 m. The total charge on the rod is 8 nC.

- a) 1.399E+01 V/m
^{2} - b) 1.539E+01 V/m
^{2} - c) 1.693E+01 V/m
^{2} - d) 1.862E+01 V/m
^{2} - e) 2.049E+01 V/m
^{2}

3) A large thin isolated square plate has an area of 4 m^{2}. 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[edit]

QB153089888039

1)

is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

- -a) 6.877E+00 V/m
^{2} - -b) 7.565E+00 V/m
^{2} - +c) 8.321E+00 V/m
^{2} - -d) 9.153E+00 V/m
^{2} - -e) 1.007E+01 V/m
^{2}

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=1.2 m. Evaluate at x=0.54 m if a=0.76 m, b=1.7 m. The total charge on the rod is 8 nC.

- -a) 1.399E+01 V/m
^{2} - +b) 1.539E+01 V/m
^{2} - -c) 1.693E+01 V/m
^{2} - -d) 1.862E+01 V/m
^{2} - -e) 2.049E+01 V/m
^{2}

3) A large thin isolated square plate has an area of 4 m^{2}. 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[edit]

QB153089888039

1) A large thin isolated square plate has an area of 4 m^{2}. 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

2)

is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

- a) 2.567E+01 V/m
^{2} - b) 2.824E+01 V/m
^{2} - c) 3.106E+01 V/m
^{2} - d) 3.417E+01 V/m
^{2} - e) 3.759E+01 V/m
^{2}

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 at x=0.79 m if a=0.75 m, b=2.1 m. The total charge on the rod is 6 nC.

- a) 5.825E+00 V/m
^{2} - b) 6.407E+00 V/m
^{2} - c) 7.048E+00 V/m
^{2} - d) 7.753E+00 V/m
^{2} - e) 8.528E+00 V/m
^{2}

#### KEY:QB:Ch 5:V1[edit]

QB153089888039

1) A large thin isolated square plate has an area of 4 m^{2}. 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

2)

is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

- -a) 2.567E+01 V/m
^{2} - -b) 2.824E+01 V/m
^{2} - -c) 3.106E+01 V/m
^{2} - -d) 3.417E+01 V/m
^{2} - +e) 3.759E+01 V/m
^{2}

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 at x=0.79 m if a=0.75 m, b=2.1 m. The total charge on the rod is 6 nC.

- +a) 5.825E+00 V/m
^{2} - -b) 6.407E+00 V/m
^{2} - -c) 7.048E+00 V/m
^{2} - -d) 7.753E+00 V/m
^{2} - -e) 8.528E+00 V/m
^{2}

### QB:Ch 5:V2[edit]

QB153089888039

1) A large thin isolated square plate has an area of 6 m^{2}. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

- a) 3.214E+01 N/C
- b) 3.536E+01 N/C
- c) 3.889E+01 N/C
- d) 4.278E+01 N/C
- e) 4.706E+01 N/C

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=1.2 m. Evaluate at x=0.54 m if a=0.76 m, b=1.7 m. The total charge on the rod is 8 nC.

- a) 1.399E+01 V/m
^{2} - b) 1.539E+01 V/m
^{2} - c) 1.693E+01 V/m
^{2} - d) 1.862E+01 V/m
^{2} - e) 2.049E+01 V/m
^{2}

3)

is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

- a) 8.933E+00 V/m
^{2} - b) 9.826E+00 V/m
^{2} - c) 1.081E+01 V/m
^{2} - d) 1.189E+01 V/m
^{2} - e) 1.308E+01 V/m
^{2}

#### KEY:QB:Ch 5:V2[edit]

QB153089888039

1) A large thin isolated square plate has an area of 6 m^{2}. It is uniformly charged with 5 nC of charge. What is the magnitude of the electric field 2 mm from the center of the plate's surface?

- -a) 3.214E+01 N/C
- -b) 3.536E+01 N/C
- -c) 3.889E+01 N/C
- -d) 4.278E+01 N/C
- +e) 4.706E+01 N/C

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=1.2 m. Evaluate at x=0.54 m if a=0.76 m, b=1.7 m. The total charge on the rod is 8 nC.

- -a) 1.399E+01 V/m
^{2} - +b) 1.539E+01 V/m
^{2} - -c) 1.693E+01 V/m
^{2} - -d) 1.862E+01 V/m
^{2} - -e) 2.049E+01 V/m
^{2}

3)

is an integral that calculates the magnitude of the electric field at a distance fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is and the surface charge density is . Evaluate at .

- -a) 8.933E+00 V/m
^{2} - -b) 9.826E+00 V/m
^{2} - +c) 1.081E+01 V/m
^{2} - -d) 1.189E+01 V/m
^{2} - -e) 1.308E+01 V/m
^{2}

### QB:Ch 6:V0[edit]

QB153089888039

_{1}=2.6 m. The other four surfaces are rectangles in y=y

_{0}=1.2 m, y=y

_{1}=5.6 m, z=z

_{0}=1.2 m, and z=z

_{1}=4.4 m. The surfaces in the yz plane each have area 14.0m

^{2}. Those in the xy plane have area 11.0m

^{2},and those in the zx plane have area 8.3m

^{2}. 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·m
^{2}/C - b) 5.290E+01 N·m
^{2}/C - c) 5.819E+01 N·m
^{2}/C - d) 6.401E+01 N·m
^{2}/C - e) 7.041E+01 N·m
^{2}/C

2) 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)=ar^{1.5} (r≤R) where a=2 nC·m^{-1.5}. What is the magnitude of the electric field at a distance of 1.5 m from the center?

- a) 1.383E+02 N/C
- b) 1.522E+02 N/C
- c) 1.674E+02 N/C
- d) 1.841E+02 N/C
- e) 2.025E+02 N/C

_{1}=1.6 m. The other four surfaces are rectangles in y=y

_{0}=1.6 m, y=y

_{1}=5.6 m, z=z

_{0}=1.8 m, and z=z

_{1}=4.4 m. The surfaces in the yz plane each have area 10.0m

^{2}. Those in the xy plane have area 6.4m

^{2},and those in the zx plane have area 4.2m

^{2}. An electric field has the xyz components (0, 5.5, 7.3) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

- a) 1.891E+01 N·m
^{2}/C - b) 2.080E+01 N·m
^{2}/C - c) 2.288E+01 N·m
^{2}/C - d) 2.517E+01 N·m
^{2}/C - e) 2.768E+01 N·m
^{2}/C

#### KEY:QB:Ch 6:V0[edit]

QB153089888039

_{1}=2.6 m. The other four surfaces are rectangles in y=y

_{0}=1.2 m, y=y

_{1}=5.6 m, z=z

_{0}=1.2 m, and z=z

_{1}=4.4 m. The surfaces in the yz plane each have area 14.0m

^{2}. Those in the xy plane have area 11.0m

^{2},and those in the zx plane have area 8.3m

^{2}. 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·m
^{2}/C - -b) 5.290E+01 N·m
^{2}/C - +c) 5.819E+01 N·m
^{2}/C - -d) 6.401E+01 N·m
^{2}/C - -e) 7.041E+01 N·m
^{2}/C

2) 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)=ar^{1.5} (r≤R) where a=2 nC·m^{-1.5}. What is the magnitude of the electric field at a distance of 1.5 m from the center?

- +a) 1.383E+02 N/C
- -b) 1.522E+02 N/C
- -c) 1.674E+02 N/C
- -d) 1.841E+02 N/C
- -e) 2.025E+02 N/C

_{1}=1.6 m. The other four surfaces are rectangles in y=y

_{0}=1.6 m, y=y

_{1}=5.6 m, z=z

_{0}=1.8 m, and z=z

_{1}=4.4 m. The surfaces in the yz plane each have area 10.0m

^{2}. Those in the xy plane have area 6.4m

^{2},and those in the zx plane have area 4.2m

^{2}. An electric field has the xyz components (0, 5.5, 7.3) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

- -a) 1.891E+01 N·m
^{2}/C - -b) 2.080E+01 N·m
^{2}/C - +c) 2.288E+01 N·m
^{2}/C - -d) 2.517E+01 N·m
^{2}/C - -e) 2.768E+01 N·m
^{2}/C

### QB:Ch 6:V1[edit]

QB153089888039

_{1}=1.1 m. The other four surfaces are rectangles in y=y

_{0}=1.5 m, y=y

_{1}=5.0 m, z=z

_{0}=1.8 m, and z=z

_{1}=5.7 m. The surfaces in the yz plane each have area 14.0m

^{2}. Those in the xy plane have area 3.9m

^{2},and those in the zx plane have area 4.3m

^{2}. An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 31° 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) 4.521E+01 N·m
^{2}/C - b) 4.973E+01 N·m
^{2}/C - c) 5.470E+01 N·m
^{2}/C - d) 6.017E+01 N·m
^{2}/C - e) 6.619E+01 N·m
^{2}/C

_{1}=1.6 m. The other four surfaces are rectangles in y=y

_{0}=1.6 m, y=y

_{1}=5.6 m, z=z

_{0}=1.8 m, and z=z

_{1}=4.4 m. The surfaces in the yz plane each have area 10.0m

^{2}. Those in the xy plane have area 6.4m

^{2},and those in the zx plane have area 4.2m

^{2}. An electric field has the xyz components (0, 5.5, 7.3) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

- a) 1.891E+01 N·m
^{2}/C - b) 2.080E+01 N·m
^{2}/C - c) 2.288E+01 N·m
^{2}/C - d) 2.517E+01 N·m
^{2}/C - e) 2.768E+01 N·m
^{2}/C

3) A non-conducting sphere of radius R=3.8 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^{1.7} (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

#### KEY:QB:Ch 6:V1[edit]

QB153089888039

_{1}=1.1 m. The other four surfaces are rectangles in y=y

_{0}=1.5 m, y=y

_{1}=5.0 m, z=z

_{0}=1.8 m, and z=z

_{1}=5.7 m. The surfaces in the yz plane each have area 14.0m

^{2}. Those in the xy plane have area 3.9m

^{2},and those in the zx plane have area 4.3m

^{2}. An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 31° 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) 4.521E+01 N·m
^{2}/C - -b) 4.973E+01 N·m
^{2}/C - -c) 5.470E+01 N·m
^{2}/C - -d) 6.017E+01 N·m
^{2}/C - +e) 6.619E+01 N·m
^{2}/C

_{1}=1.6 m. The other four surfaces are rectangles in y=y

_{0}=1.6 m, y=y

_{1}=5.6 m, z=z

_{0}=1.8 m, and z=z

_{1}=4.4 m. The surfaces in the yz plane each have area 10.0m

^{2}. Those in the xy plane have area 6.4m

^{2},and those in the zx plane have area 4.2m

^{2}. An electric field has the xyz components (0, 5.5, 7.3) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

- -a) 1.891E+01 N·m
^{2}/C - -b) 2.080E+01 N·m
^{2}/C - +c) 2.288E+01 N·m
^{2}/C - -d) 2.517E+01 N·m
^{2}/C - -e) 2.768E+01 N·m
^{2}/C

3) A non-conducting sphere of radius R=3.8 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar^{1.7} (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

### QB:Ch 6:V2[edit]

QB153089888039

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)=ar^{1.5} (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

_{1}=2.4 m. The other four surfaces are rectangles in y=y

_{0}=1.2 m, y=y

_{1}=4.2 m, z=z

_{0}=1.2 m, and z=z

_{1}=4.1 m. The surfaces in the yz plane each have area 8.7m

^{2}. Those in the xy plane have area 7.2m

^{2},and those in the zx plane have area 7.0m

^{2}. An electric field of magnitude 12 N/C has components in the y and z directions and is directed at 58° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

- a) 4.024E+01 N·m
^{2}/C - b) 4.426E+01 N·m
^{2}/C - c) 4.868E+01 N·m
^{2}/C - d) 5.355E+01 N·m
^{2}/C - e) 5.891E+01 N·m
^{2}/C

_{1}=1.4 m. The other four surfaces are rectangles in y=y

_{0}=1.3 m, y=y

_{1}=5.6 m, z=z

_{0}=1.7 m, and z=z

_{1}=4.5 m. The surfaces in the yz plane each have area 12.0m

^{2}. Those in the xy plane have area 6.0m

^{2},and those in the zx plane have area 3.9m

^{2}. An electric field has the xyz components (0, 6.5, 9.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

- a) 1.740E+01 N·m
^{2}/C - b) 1.914E+01 N·m
^{2}/C - c) 2.106E+01 N·m
^{2}/C - d) 2.316E+01 N·m
^{2}/C - e) 2.548E+01 N·m
^{2}/C

#### KEY:QB:Ch 6:V2[edit]

QB153089888039

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)=ar^{1.5} (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

_{1}=2.4 m. The other four surfaces are rectangles in y=y

_{0}=1.2 m, y=y

_{1}=4.2 m, z=z

_{0}=1.2 m, and z=z

_{1}=4.1 m. The surfaces in the yz plane each have area 8.7m

^{2}. Those in the xy plane have area 7.2m

^{2},and those in the zx plane have area 7.0m

^{2}. An electric field of magnitude 12 N/C has components in the y and z directions and is directed at 58° above the xy-plane (i.e. above the y axis.) What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

- -a) 4.024E+01 N·m
^{2}/C - +b) 4.426E+01 N·m
^{2}/C - -c) 4.868E+01 N·m
^{2}/C - -d) 5.355E+01 N·m
^{2}/C - -e) 5.891E+01 N·m
^{2}/C

_{1}=1.4 m. The other four surfaces are rectangles in y=y

_{0}=1.3 m, y=y

_{1}=5.6 m, z=z

_{0}=1.7 m, and z=z

_{1}=4.5 m. The surfaces in the yz plane each have area 12.0m

^{2}. Those in the xy plane have area 6.0m

^{2},and those in the zx plane have area 3.9m

^{2}. An electric field has the xyz components (0, 6.5, 9.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

- -a) 1.740E+01 N·m
^{2}/C - -b) 1.914E+01 N·m
^{2}/C - -c) 2.106E+01 N·m
^{2}/C - -d) 2.316E+01 N·m
^{2}/C - +e) 2.548E+01 N·m
^{2}/C

### QB:Ch 7:V0[edit]

QB153089888039

1) Two large parallel conducting plates are separated by 7.81 mm. Equal and opposite surface charges of 7.440E-07 C/m^{2} exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 80 V?

- a) 9.521E-01 mm
- b) 1.095E+00 mm
- c) 1.259E+00 mm
- d) 1.448E+00 mm
- e) 1.665E+00 mm

2) Assume that a 26 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P_{1} and P_{2} where the polar coordinates (r,φ) of P_{1} are (9 cm, 0°) and P_{2} is at (13 cm, 42°).

- a) 7.263E+02 V
- b) 7.989E+02 V
- c) 8.788E+02 V
- d) 9.667E+02 V
- e) 1.063E+03 V

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

- a) 1.615E+18 electrons
- b) 1.776E+18 electrons
- c) 1.954E+18 electrons
- d) 2.149E+18 electrons
- e) 2.364E+18 electrons

#### KEY:QB:Ch 7:V0[edit]

QB153089888039

1) Two large parallel conducting plates are separated by 7.81 mm. Equal and opposite surface charges of 7.440E-07 C/m^{2} exist on the surfaces between the plates. What is the distance between equipotential planes which differ by 80 V?

- +a) 9.521E-01 mm
- -b) 1.095E+00 mm
- -c) 1.259E+00 mm
- -d) 1.448E+00 mm
- -e) 1.665E+00 mm

2) Assume that a 26 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P_{1} and P_{2} where the polar coordinates (r,φ) of P_{1} are (9 cm, 0°) and P_{2} is at (13 cm, 42°).

- -a) 7.263E+02 V
- +b) 7.989E+02 V
- -c) 8.788E+02 V
- -d) 9.667E+02 V
- -e) 1.063E+03 V

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

- +a) 1.615E+18 electrons
- -b) 1.776E+18 electrons
- -c) 1.954E+18 electrons
- -d) 2.149E+18 electrons
- -e) 2.364E+18 electrons

### QB:Ch 7:V1[edit]

QB153089888039

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) Assume that a 16 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P_{1} and P_{2} where the polar coordinates (r,φ) of P_{1} are (6 cm, 0°) and P_{2} is at (14 cm, 27°).

- a) 9.354E+02 V
- b) 1.029E+03 V
- c) 1.132E+03 V
- d) 1.245E+03 V
- e) 1.370E+03 V

3) Two large parallel conducting plates are separated by 8.13 mm. Equal and opposite surface charges of 7.540E-07 C/m^{2} 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

#### KEY:QB:Ch 7:V1[edit]

QB153089888039

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) Assume that a 16 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P_{1} and P_{2} where the polar coordinates (r,φ) of P_{1} are (6 cm, 0°) and P_{2} is at (14 cm, 27°).

- -a) 9.354E+02 V
- -b) 1.029E+03 V
- -c) 1.132E+03 V
- -d) 1.245E+03 V
- +e) 1.370E+03 V

3) Two large parallel conducting plates are separated by 8.13 mm. Equal and opposite surface charges of 7.540E-07 C/m^{2} 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

### QB:Ch 7:V2[edit]

QB153089888039

1) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m^{2} 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

2) Assume that a 4 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P_{1} and P_{2} where the polar coordinates (r,φ) of P_{1} are (5 cm, 0°) and P_{2} is at (15 cm, 59°).

- a) 3.961E+02 V
- b) 4.358E+02 V
- c) 4.793E+02 V
- d) 5.273E+02 V
- e) 5.800E+02 V

3) When a 4.91 V battery operates a 1.43 W bulb, how many electrons pass through it each second?

- a) 1.242E+18 electrons
- b) 1.366E+18 electrons
- c) 1.502E+18 electrons
- d) 1.653E+18 electrons
- e) 1.818E+18 electrons

#### KEY:QB:Ch 7:V2[edit]

QB153089888039

1) Two large parallel conducting plates are separated by 9.87 mm. Equal and opposite surface charges of 7.610E-07 C/m^{2} 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

2) Assume that a 4 nC charge is situated at the origin. Calculate the the magnitude (absolute value) of the potential difference between points P_{1} and P_{2} where the polar coordinates (r,φ) of P_{1} are (5 cm, 0°) and P_{2} is at (15 cm, 59°).

- -a) 3.961E+02 V
- -b) 4.358E+02 V
- +c) 4.793E+02 V
- -d) 5.273E+02 V
- -e) 5.800E+02 V

3) When a 4.91 V battery operates a 1.43 W bulb, how many electrons pass through it each second?

- -a) 1.242E+18 electrons
- -b) 1.366E+18 electrons
- -c) 1.502E+18 electrons
- -d) 1.653E+18 electrons
- +e) 1.818E+18 electrons

### QB:Ch 8:V0[edit]

QB153089888039

_{1}=4.55 μF, C

_{2}=4.39 μF, and C

_{3}=3.32 μF in the configuration shown?

- a) 4.173E+00 μF
- b) 4.590E+00 μF
- c) 5.049E+00 μF
- d) 5.554E+00 μF
- e) 6.110E+00 μF

_{1}=20.7 μF, C

_{2}=2.79 μF, and C

_{3}=5.18 μF. The voltage source provides ε=15.0 V. What is the energy stored in C

_{2}?

- a) 2.064E+01 μJ
- b) 2.270E+01 μJ
- c) 2.497E+01 μJ
- d) 2.747E+01 μJ
- e) 3.022E+01 μJ

3) An empty parallel-plate capacitor with metal plates has an area of 1.94 m^{2}, 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

#### KEY:QB:Ch 8:V0[edit]

QB153089888039

_{1}=4.55 μF, C

_{2}=4.39 μF, and C

_{3}=3.32 μF in the configuration shown?

- -a) 4.173E+00 μF
- -b) 4.590E+00 μF
- -c) 5.049E+00 μF
- +d) 5.554E+00 μF
- -e) 6.110E+00 μF

_{1}=20.7 μF, C

_{2}=2.79 μF, and C

_{3}=5.18 μF. The voltage source provides ε=15.0 V. What is the energy stored in C

_{2}?

- -a) 2.064E+01 μJ
- -b) 2.270E+01 μJ
- -c) 2.497E+01 μJ
- -d) 2.747E+01 μJ
- +e) 3.022E+01 μJ

3) An empty parallel-plate capacitor with metal plates has an area of 1.94 m^{2}, 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

### QB:Ch 8:V1[edit]

QB153089888039

_{1}=20.7 μF, C

_{2}=2.79 μF, and C

_{3}=5.18 μF. The voltage source provides ε=15.0 V. What is the energy stored in C

_{2}?

- a) 2.064E+01 μJ
- b) 2.270E+01 μJ
- c) 2.497E+01 μJ
- d) 2.747E+01 μJ
- e) 3.022E+01 μJ

_{1}=2.3 μF, C

_{2}=2.84 μF, and C

_{3}=3.41 μF in the configuration shown?

- a) 4.255E+00 μF
- b) 4.681E+00 μF
- c) 5.149E+00 μF
- d) 5.664E+00 μF
- e) 6.230E+00 μF

3) An empty parallel-plate capacitor with metal plates has an area of 2.51 m^{2}, separated by 1.44 mm. How much charge does it store if the voltage is 2.230E+03 V?

- a) 2.351E+01 μC
- b) 2.586E+01 μC
- c) 2.844E+01 μC
- d) 3.129E+01 μC
- e) 3.442E+01 μC

#### KEY:QB:Ch 8:V1[edit]

QB153089888039

_{1}=20.7 μF, C

_{2}=2.79 μF, and C

_{3}=5.18 μF. The voltage source provides ε=15.0 V. What is the energy stored in C

_{2}?

- -a) 2.064E+01 μJ
- -b) 2.270E+01 μJ
- -c) 2.497E+01 μJ
- -d) 2.747E+01 μJ
- +e) 3.022E+01 μJ

_{1}=2.3 μF, C

_{2}=2.84 μF, and C

_{3}=3.41 μF in the configuration shown?

- -a) 4.255E+00 μF
- +b) 4.681E+00 μF
- -c) 5.149E+00 μF
- -d) 5.664E+00 μF
- -e) 6.230E+00 μF

3) An empty parallel-plate capacitor with metal plates has an area of 2.51 m^{2}, separated by 1.44 mm. How much charge does it store if the voltage is 2.230E+03 V?

- -a) 2.351E+01 μC
- -b) 2.586E+01 μC
- -c) 2.844E+01 μC
- -d) 3.129E+01 μC
- +e) 3.442E+01 μC

### QB:Ch 8:V2[edit]

QB153089888039

1) An empty parallel-plate capacitor with metal plates has an area of 1.81 m^{2}, 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

_{1}=2.96 μF, C

_{2}=3.95 μF, and C

_{3}=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

_{1}=16.9 μF, C

_{2}=2.86 μF, and C

_{3}=5.1 μF. The voltage source provides ε=9.98 V. What is the energy stored in C

_{2}?

- a) 1.764E+01 μJ
- b) 1.940E+01 μJ
- c) 2.134E+01 μJ
- d) 2.348E+01 μJ
- e) 2.583E+01 μJ

#### KEY:QB:Ch 8:V2[edit]

QB153089888039

1) An empty parallel-plate capacitor with metal plates has an area of 1.81 m^{2}, 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

_{1}=2.96 μF, C

_{2}=3.95 μF, and C

_{3}=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

_{1}=16.9 μF, C

_{2}=2.86 μF, and C

_{3}=5.1 μF. The voltage source provides ε=9.98 V. What is the energy stored in C

_{2}?

- -a) 1.764E+01 μJ
- +b) 1.940E+01 μJ
- -c) 2.134E+01 μJ
- -d) 2.348E+01 μJ
- -e) 2.583E+01 μJ

### QB:Ch 9:V0[edit]

QB153089888039

1) The charge passing a plane intersecting a wire is , where =27 C and 0.0154 s. What is the current at 0.0177 s?

- a) 4.591E+02 A
- b) 5.050E+02 A
- c) 5.555E+02 A
- d) 6.111E+02 A
- e) 6.722E+02 A

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

- a) 1.396E+00 Ω
- b) 1.535E+00 Ω
- c) 1.689E+00 Ω
- d) 1.858E+00 Ω
- e) 2.043E+00 Ω

3) Calculate the resistance of a 12-gauge copper wire that is 86 m long and carries a current of 97 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm^{2}.

- a) 4.365E-01 Ω
- b) 4.801E-01 Ω
- c) 5.282E-01 Ω
- d) 5.810E-01 Ω
- e) 6.391E-01 Ω

#### KEY:QB:Ch 9:V0[edit]

QB153089888039

1) The charge passing a plane intersecting a wire is , where =27 C and 0.0154 s. What is the current at 0.0177 s?

- -a) 4.591E+02 A
- -b) 5.050E+02 A
- +c) 5.555E+02 A
- -d) 6.111E+02 A
- -e) 6.722E+02 A

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

- -a) 1.396E+00 Ω
- -b) 1.535E+00 Ω
- -c) 1.689E+00 Ω
- +d) 1.858E+00 Ω
- -e) 2.043E+00 Ω

3) Calculate the resistance of a 12-gauge copper wire that is 86 m long and carries a current of 97 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm^{2}.

- +a) 4.365E-01 Ω
- -b) 4.801E-01 Ω
- -c) 5.282E-01 Ω
- -d) 5.810E-01 Ω
- -e) 6.391E-01 Ω

### QB:Ch 9:V1[edit]

QB153089888039

1) A DC winch moter draws 23 amps at 196 volts as it lifts a 4.870E+03 N weight at a constant speed of 0.731 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.

- a) 1.346E+00 Ω
- b) 1.481E+00 Ω
- c) 1.629E+00 Ω
- d) 1.792E+00 Ω
- e) 1.971E+00 Ω

2) The charge passing a plane intersecting a wire is , where =85 C and 0.021 s. What is the current at 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) Calculate the resistance of a 12-gauge copper wire that is 30 m long and carries a current of 31 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm^{2}.

- a) 1.384E-01 Ω
- b) 1.523E-01 Ω
- c) 1.675E-01 Ω
- d) 1.842E-01 Ω
- e) 2.027E-01 Ω

#### KEY:QB:Ch 9:V1[edit]

QB153089888039

1) A DC winch moter draws 23 amps at 196 volts as it lifts a 4.870E+03 N weight at a constant speed of 0.731 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.

- -a) 1.346E+00 Ω
- -b) 1.481E+00 Ω
- -c) 1.629E+00 Ω
- +d) 1.792E+00 Ω
- -e) 1.971E+00 Ω

2) The charge passing a plane intersecting a wire is , where =85 C and 0.021 s. What is the current at 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) Calculate the resistance of a 12-gauge copper wire that is 30 m long and carries a current of 31 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm^{2}.

- -a) 1.384E-01 Ω
- +b) 1.523E-01 Ω
- -c) 1.675E-01 Ω
- -d) 1.842E-01 Ω
- -e) 2.027E-01 Ω

### QB:Ch 9:V2[edit]

QB153089888039

1) The charge passing a plane intersecting a wire is , where =78 C and 0.0244 s. What is the current at 0.0225 s?

- a) 1.271E+03 A
- b) 1.398E+03 A
- c) 1.538E+03 A
- d) 1.692E+03 A
- e) 1.861E+03 A

2) Calculate the resistance of a 12-gauge copper wire that is 86 m long and carries a current of 97 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm^{2}.

- a) 4.365E-01 Ω
- b) 4.801E-01 Ω
- c) 5.282E-01 Ω
- d) 5.810E-01 Ω
- e) 6.391E-01 Ω

3) A DC winch moter draws 20 amps at 169 volts as it lifts a 5.120E+03 N weight at a constant speed of 0.543 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.

- a) 1.500E+00 Ω
- b) 1.650E+00 Ω
- c) 1.815E+00 Ω
- d) 1.996E+00 Ω
- e) 2.196E+00 Ω

#### KEY:QB:Ch 9:V2[edit]

QB153089888039

1) The charge passing a plane intersecting a wire is , where =78 C and 0.0244 s. What is the current at 0.0225 s?

- +a) 1.271E+03 A
- -b) 1.398E+03 A
- -c) 1.538E+03 A
- -d) 1.692E+03 A
- -e) 1.861E+03 A

2) Calculate the resistance of a 12-gauge copper wire that is 86 m long and carries a current of 97 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm^{2}.

- +a) 4.365E-01 Ω
- -b) 4.801E-01 Ω
- -c) 5.282E-01 Ω
- -d) 5.810E-01 Ω
- -e) 6.391E-01 Ω

3) A DC winch moter draws 20 amps at 169 volts as it lifts a 5.120E+03 N weight at a constant speed of 0.543 m/s. Assuming that all the electrical power is either converted into gravitational potential energy or ohmically heats the motor's coils, calculate the coil's resistance.

- +a) 1.500E+00 Ω
- -b) 1.650E+00 Ω
- -c) 1.815E+00 Ω
- -d) 1.996E+00 Ω
- -e) 2.196E+00 Ω

### QB:Ch 10:V0[edit]

QB153089888039

- a) 9.571E+00 s
- b) 1.053E+01 s
- c) 1.158E+01 s
- d) 1.274E+01 s
- e) 1.401E+01 s

_{1}= 1.6 Ω, R

_{2}= 1.3 Ω, and R

_{2}= 2.22 Ω. V

_{1}and V

_{3}are text 0.55 V and 3.18 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.743 V. What is the absolute value of the current through R

_{1}?

- a) 1.721E-01 A
- b) 1.893E-01 A
- c) 2.082E-01 A
- d) 2.291E-01 A
- e) 2.520E-01 A

_{1}=14.3 V, and ε

_{2}=5.6 V are oriented as shownin the circuit. The resistances are R

_{1}=5.31 kΩ and R

_{2}=2.39 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.12 mA and I

_{4}=0.284 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 3.416E+00 V
- b) 3.757E+00 V
- c) 4.133E+00 V
- d) 4.546E+00 V
- e) 5.001E+00 V

#### KEY:QB:Ch 10:V0[edit]

QB153089888039

- -a) 9.571E+00 s
- -b) 1.053E+01 s
- +c) 1.158E+01 s
- -d) 1.274E+01 s
- -e) 1.401E+01 s

_{1}= 1.6 Ω, R

_{2}= 1.3 Ω, and R

_{2}= 2.22 Ω. V

_{1}and V

_{3}are text 0.55 V and 3.18 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.743 V. What is the absolute value of the current through R

_{1}?

- +a) 1.721E-01 A
- -b) 1.893E-01 A
- -c) 2.082E-01 A
- -d) 2.291E-01 A
- -e) 2.520E-01 A

_{1}=14.3 V, and ε

_{2}=5.6 V are oriented as shownin the circuit. The resistances are R

_{1}=5.31 kΩ and R

_{2}=2.39 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.12 mA and I

_{4}=0.284 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 3.416E+00 V
- -b) 3.757E+00 V
- -c) 4.133E+00 V
- +d) 4.546E+00 V
- -e) 5.001E+00 V

### QB:Ch 10:V1[edit]

QB153089888039

_{1}=14.3 V, and ε

_{2}=5.6 V are oriented as shownin the circuit. The resistances are R

_{1}=5.31 kΩ and R

_{2}=2.39 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.12 mA and I

_{4}=0.284 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 3.416E+00 V
- b) 3.757E+00 V
- c) 4.133E+00 V
- d) 4.546E+00 V
- e) 5.001E+00 V

- a) 3.728E+00 s
- b) 4.101E+00 s
- c) 4.511E+00 s
- d) 4.962E+00 s
- e) 5.458E+00 s

_{1}= 2.34 Ω, R

_{2}= 1.34 Ω, and R

_{2}= 2.94 Ω. V

_{1}and V

_{3}are text 0.609 V and 1.68 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.541 V. What is the absolute value of the current through R

_{1}?

- a) 1.464E-01 A
- b) 1.610E-01 A
- c) 1.772E-01 A
- d) 1.949E-01 A
- e) 2.144E-01 A

#### KEY:QB:Ch 10:V1[edit]

QB153089888039

_{1}=14.3 V, and ε

_{2}=5.6 V are oriented as shownin the circuit. The resistances are R

_{1}=5.31 kΩ and R

_{2}=2.39 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.12 mA and I

_{4}=0.284 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 3.416E+00 V
- -b) 3.757E+00 V
- -c) 4.133E+00 V
- +d) 4.546E+00 V
- -e) 5.001E+00 V

- -a) 3.728E+00 s
- -b) 4.101E+00 s
- -c) 4.511E+00 s
- +d) 4.962E+00 s
- -e) 5.458E+00 s

_{1}= 2.34 Ω, R

_{2}= 1.34 Ω, and R

_{2}= 2.94 Ω. V

_{1}and V

_{3}are text 0.609 V and 1.68 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.541 V. What is the absolute value of the current through R

_{1}?

- -a) 1.464E-01 A
- +b) 1.610E-01 A
- -c) 1.772E-01 A
- -d) 1.949E-01 A
- -e) 2.144E-01 A

### QB:Ch 10:V2[edit]

QB153089888039

- a) 9.240E+00 s
- b) 1.016E+01 s
- c) 1.118E+01 s
- d) 1.230E+01 s
- e) 1.353E+01 s

_{1}= 2.24 Ω, R

_{2}= 1.03 Ω, and R

_{2}= 2.39 Ω. V

_{1}and V

_{3}are text 0.595 V and 2.58 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.707 V. What is the absolute value of the current through R

_{1}?

- a) 1.834E-01 A
- b) 2.018E-01 A
- c) 2.220E-01 A
- d) 2.441E-01 A
- e) 2.686E-01 A

_{1}=40.9 V, and ε

_{2}=16.1 V are oriented as shownin the circuit. The resistances are R

_{1}=5.55 kΩ and R

_{2}=1.55 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=6.11 mA and I

_{4}=1.06 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- a) 8.754E+00 V
- b) 9.630E+00 V
- c) 1.059E+01 V
- d) 1.165E+01 V
- e) 1.282E+01 V

#### KEY:QB:Ch 10:V2[edit]

QB153089888039

- +a) 9.240E+00 s
- -b) 1.016E+01 s
- -c) 1.118E+01 s
- -d) 1.230E+01 s
- -e) 1.353E+01 s

_{1}= 2.24 Ω, R

_{2}= 1.03 Ω, and R

_{2}= 2.39 Ω. V

_{1}and V

_{3}are text 0.595 V and 2.58 V, respectively. But V

_{2}is opposite to that shown in the figure, or, equivalently, V

_{2}=−0.707 V. What is the absolute value of the current through R

_{1}?

- -a) 1.834E-01 A
- +b) 2.018E-01 A
- -c) 2.220E-01 A
- -d) 2.441E-01 A
- -e) 2.686E-01 A

_{1}=40.9 V, and ε

_{2}=16.1 V are oriented as shownin the circuit. The resistances are R

_{1}=5.55 kΩ and R

_{2}=1.55 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=6.11 mA and I

_{4}=1.06 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of voltage drop across R

_{2}?

- -a) 8.754E+00 V
- -b) 9.630E+00 V
- -c) 1.059E+01 V
- -d) 1.165E+01 V
- +e) 1.282E+01 V

### QB:Ch 11:V0[edit]

QB153089888039

1) A circular current loop of radius 2.99 cm carries a current of 4.54 mA. What is the magnitude of the torque if the dipole is oriented at 34 ° to a uniform magnetic fied of 0.107 T?

- a) 7.629E-07 N m
- b) 8.392E-07 N m
- c) 9.232E-07 N m
- d) 1.015E-06 N m
- e) 1.117E-06 N m

2) An alpha-particle (q=3.2x10^{−19}C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 5.75 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity

(1.81 **i** + 2.05 **j** + 4.49 **k**) x 10^{4} m/s?

- a) 2.576E-14 N
- b) 2.834E-14 N
- c) 3.117E-14 N
- d) 3.429E-14 N
- e) 3.772E-14 N

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

- a) 2.730E-06 s
- b) 3.003E-06 s
- c) 3.303E-06 s
- d) 3.633E-06 s
- e) 3.997E-06 s

#### KEY:QB:Ch 11:V0[edit]

QB153089888039

1) A circular current loop of radius 2.99 cm carries a current of 4.54 mA. What is the magnitude of the torque if the dipole is oriented at 34 ° to a uniform magnetic fied of 0.107 T?

- +a) 7.629E-07 N m
- -b) 8.392E-07 N m
- -c) 9.232E-07 N m
- -d) 1.015E-06 N m
- -e) 1.117E-06 N m

2) An alpha-particle (q=3.2x10^{−19}C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 5.75 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity

(1.81 **i** + 2.05 **j** + 4.49 **k**) x 10^{4} m/s?

- -a) 2.576E-14 N
- -b) 2.834E-14 N
- -c) 3.117E-14 N
- -d) 3.429E-14 N
- +e) 3.772E-14 N

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

- -a) 2.730E-06 s
- +b) 3.003E-06 s
- -c) 3.303E-06 s
- -d) 3.633E-06 s
- -e) 3.997E-06 s

### QB:Ch 11:V1[edit]

QB153089888039

1) An alpha-particle (q=3.2x10^{−19}C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity

(2.85 **i** + 1.28 **j** + 8.49 **k**) x 10^{4} m/s?

- a) 2.222E-14 N
- b) 2.444E-14 N
- c) 2.688E-14 N
- d) 2.957E-14 N
- e) 3.253E-14 N

2) A circular current loop of radius 3.04 cm carries a current of 1.94 mA. What is the magnitude of the torque if the dipole is oriented at 50 ° to a uniform magnetic fied of 0.193 T?

- a) 6.257E-07 N m
- b) 6.882E-07 N m
- c) 7.570E-07 N m
- d) 8.327E-07 N m
- e) 9.160E-07 N m

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

- a) 2.730E-06 s
- b) 3.003E-06 s
- c) 3.303E-06 s
- d) 3.633E-06 s
- e) 3.997E-06 s

#### KEY:QB:Ch 11:V1[edit]

QB153089888039

1) An alpha-particle (q=3.2x10^{−19}C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity

(2.85 **i** + 1.28 **j** + 8.49 **k**) x 10^{4} m/s?

- -a) 2.222E-14 N
- -b) 2.444E-14 N
- -c) 2.688E-14 N
- +d) 2.957E-14 N
- -e) 3.253E-14 N

2) A circular current loop of radius 3.04 cm carries a current of 1.94 mA. What is the magnitude of the torque if the dipole is oriented at 50 ° to a uniform magnetic fied of 0.193 T?

- -a) 6.257E-07 N m
- -b) 6.882E-07 N m
- -c) 7.570E-07 N m
- +d) 8.327E-07 N m
- -e) 9.160E-07 N m

- -a) 2.730E-06 s
- +b) 3.003E-06 s
- -c) 3.303E-06 s
- -d) 3.633E-06 s
- -e) 3.997E-06 s

### QB:Ch 11:V2[edit]

QB153089888039

1) A charged particle in a magnetic field of 3.820E-04 T is moving perpendicular to the magnetic field with a speed of 3.890E+05 m/s. What is the period of orbit if orbital radius is 0.718 m?

- a) 8.713E-06 s
- b) 9.584E-06 s
- c) 1.054E-05 s
- d) 1.160E-05 s
- e) 1.276E-05 s

2) A circular current loop of radius 3.04 cm carries a current of 1.94 mA. What is the magnitude of the torque if the dipole is oriented at 50 ° to a uniform magnetic fied of 0.193 T?

- a) 6.257E-07 N m
- b) 6.882E-07 N m
- c) 7.570E-07 N m
- d) 8.327E-07 N m
- e) 9.160E-07 N m

3) An alpha-particle (q=3.2x10^{−19}C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity

(2.85 **i** + 1.28 **j** + 8.49 **k**) x 10^{4} m/s?

- a) 2.222E-14 N
- b) 2.444E-14 N
- c) 2.688E-14 N
- d) 2.957E-14 N
- e) 3.253E-14 N

#### KEY:QB:Ch 11:V2[edit]

QB153089888039

1) A charged particle in a magnetic field of 3.820E-04 T is moving perpendicular to the magnetic field with a speed of 3.890E+05 m/s. What is the period of orbit if orbital radius is 0.718 m?

- -a) 8.713E-06 s
- -b) 9.584E-06 s
- -c) 1.054E-05 s
- +d) 1.160E-05 s
- -e) 1.276E-05 s

- -a) 6.257E-07 N m
- -b) 6.882E-07 N m
- -c) 7.570E-07 N m
- +d) 8.327E-07 N m
- -e) 9.160E-07 N m

3) An alpha-particle (q=3.2x10^{−19}C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 7.22 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity

(2.85 **i** + 1.28 **j** + 8.49 **k**) x 10^{4} m/s?

- -a) 2.222E-14 N
- -b) 2.444E-14 N
- -c) 2.688E-14 N
- +d) 2.957E-14 N
- -e) 3.253E-14 N

### QB:Ch 12:V0[edit]

QB153089888039

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.45 kA, I

_{2}=2.68 kA, and I

_{3}=5.5 kA, take the path and evalulate the line integral,

:

- 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

2) Two parallel wires each carry a 7.75 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.62 cm, 1.31 cm), while the other is located at (4.63 cm, 5.53 cm). What is the force per unit length between the wires?

- a) 2.588E-10 N/m
- b) 2.847E-10 N/m
- c) 3.131E-10 N/m
- d) 3.444E-10 N/m
- e) 3.789E-10 N/m

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.35 kA, I

_{2}=0.809 kA, and I

_{3}=2.34 kA, take the path and evalulate the line integral,

:

- a) 4.031E-03 T-m
- b) 4.434E-03 T-m
- c) 4.877E-03 T-m
- d) 5.365E-03 T-m
- e) 5.901E-03 T-m

#### KEY:QB:Ch 12:V0[edit]

QB153089888039

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.45 kA, I

_{2}=2.68 kA, and I

_{3}=5.5 kA, take the path and evalulate the line integral,

:

- +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

2) Two parallel wires each carry a 7.75 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.62 cm, 1.31 cm), while the other is located at (4.63 cm, 5.53 cm). What is the force per unit length between the wires?

- -a) 2.588E-10 N/m
- +b) 2.847E-10 N/m
- -c) 3.131E-10 N/m
- -d) 3.444E-10 N/m
- -e) 3.789E-10 N/m

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.35 kA, I

_{2}=0.809 kA, and I

_{3}=2.34 kA, take the path and evalulate the line integral,

:

- -a) 4.031E-03 T-m
- -b) 4.434E-03 T-m
- +c) 4.877E-03 T-m
- -d) 5.365E-03 T-m
- -e) 5.901E-03 T-m

### QB:Ch 12:V1[edit]

QB153089888039

1) Two parallel wires each carry a 3.8 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.74 cm, 1.47 cm), while the other is located at (5.26 cm, 5.87 cm). What is the force per unit length between the wires?

- a) 5.926E-11 N/m
- b) 6.518E-11 N/m
- c) 7.170E-11 N/m
- d) 7.887E-11 N/m
- e) 8.676E-11 N/m

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.43 kA, I

_{2}=1.64 kA, and I

_{3}=4.81 kA, take the path and evalulate the line integral,

:

- a) 2.721E-03 T-m
- b) 2.993E-03 T-m
- c) 3.292E-03 T-m
- d) 3.621E-03 T-m
- e) 3.984E-03 T-m

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.39 kA, I

_{2}=0.414 kA, and I

_{3}=1.3 kA, take the path and evalulate the line integral,

:

- a) 2.812E-03 T-m
- b) 3.093E-03 T-m
- c) 3.402E-03 T-m
- d) 3.742E-03 T-m
- e) 4.117E-03 T-m

#### KEY:QB:Ch 12:V1[edit]

QB153089888039

1) Two parallel wires each carry a 3.8 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.74 cm, 1.47 cm), while the other is located at (5.26 cm, 5.87 cm). What is the force per unit length between the wires?

- -a) 5.926E-11 N/m
- +b) 6.518E-11 N/m
- -c) 7.170E-11 N/m
- -d) 7.887E-11 N/m
- -e) 8.676E-11 N/m

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.43 kA, I

_{2}=1.64 kA, and I

_{3}=4.81 kA, take the path and evalulate the line integral,

:

- -a) 2.721E-03 T-m
- -b) 2.993E-03 T-m
- -c) 3.292E-03 T-m
- -d) 3.621E-03 T-m
- +e) 3.984E-03 T-m

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.39 kA, I

_{2}=0.414 kA, and I

_{3}=1.3 kA, take the path and evalulate the line integral,

:

- -a) 2.812E-03 T-m
- -b) 3.093E-03 T-m
- -c) 3.402E-03 T-m
- -d) 3.742E-03 T-m
- +e) 4.117E-03 T-m

### QB:Ch 12:V2[edit]

QB153089888039

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.43 kA, I

_{2}=1.64 kA, and I

_{3}=4.81 kA, take the path and evalulate the line integral,

:

- a) 2.721E-03 T-m
- b) 2.993E-03 T-m
- c) 3.292E-03 T-m
- d) 3.621E-03 T-m
- e) 3.984E-03 T-m

2) Two parallel wires each carry a 9.08 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.17 cm, 1.32 cm), while the other is located at (5.72 cm, 4.47 cm). What is the force per unit length between the wires?

- a) 3.882E-10 N/m
- b) 4.270E-10 N/m
- c) 4.697E-10 N/m
- d) 5.167E-10 N/m
- e) 5.683E-10 N/m

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.39 kA, I

_{2}=0.414 kA, and I

_{3}=1.3 kA, take the path and evalulate the line integral,

:

- a) 2.812E-03 T-m
- b) 3.093E-03 T-m
- c) 3.402E-03 T-m
- d) 3.742E-03 T-m
- e) 4.117E-03 T-m

#### KEY:QB:Ch 12:V2[edit]

QB153089888039

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.43 kA, I

_{2}=1.64 kA, and I

_{3}=4.81 kA, take the path and evalulate the line integral,

:

- -a) 2.721E-03 T-m
- -b) 2.993E-03 T-m
- -c) 3.292E-03 T-m
- -d) 3.621E-03 T-m
- +e) 3.984E-03 T-m

2) Two parallel wires each carry a 9.08 mA current and are oriented in the z direction. The first wire is located in the x-y plane at (4.17 cm, 1.32 cm), while the other is located at (5.72 cm, 4.47 cm). What is the force per unit length between the wires?

- -a) 3.882E-10 N/m
- -b) 4.270E-10 N/m
- +c) 4.697E-10 N/m
- -d) 5.167E-10 N/m
- -e) 5.683E-10 N/m

_{1}and I

_{3}flow out of the page, and I

_{2}flows into the page, as shown. Two closed paths are shown, labeled and . If I

_{1}=2.39 kA, I

_{2}=0.414 kA, and I

_{3}=1.3 kA, take the path and evalulate the line integral,

:

- -a) 2.812E-03 T-m
- -b) 3.093E-03 T-m
- -c) 3.402E-03 T-m
- -d) 3.742E-03 T-m
- +e) 4.117E-03 T-m

### QB:Ch 13:V0[edit]

QB153089888039

1) The current through the windings of a solenoid with n= 2.840E+03 turns per meter is changing at a rate dI/dt=19 A/s. The solenoid is 65 cm long and has a cross-sectional diameter of 2.18 cm. A small coil consisting of N=25turns 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) 2.206E-04 V
- b) 2.426E-04 V
- c) 2.669E-04 V
- d) 2.936E-04 V
- e) 3.230E-04 V

--(

*Answer & Why this question is different.*)

- a) 1.153E+02 cm
^{3}/s - b) 1.268E+02 cm
^{3}/s - c) 1.395E+02 cm
^{3}/s - d) 1.535E+02 cm
^{3}/s - e) 1.688E+02 cm
^{3}/s

3) A spatially uniform magnetic points in the z-direction and oscilates with time as where 3.84 T and 4.410E+03 s^{−1}. Suppose the electric field is always zero at point , and consider a circle of radius 0.379 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral around the circle.

- a) 3.333E+04 V
- b) 3.666E+04 V
- c) 4.033E+04 V
- d) 4.436E+04 V
- e) 4.879E+04 V

#### KEY:QB:Ch 13:V0[edit]

QB153089888039

1) The current through the windings of a solenoid with n= 2.840E+03 turns per meter is changing at a rate dI/dt=19 A/s. The solenoid is 65 cm long and has a cross-sectional diameter of 2.18 cm. A small coil consisting of N=25turns 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) 2.206E-04 V
- +b) 2.426E-04 V
- -c) 2.669E-04 V
- -d) 2.936E-04 V
- -e) 3.230E-04 V

--(

*Answer & Why this question is different.*)

- +a) 1.153E+02 cm
^{3}/s - -b) 1.268E+02 cm
^{3}/s - -c) 1.395E+02 cm
^{3}/s - -d) 1.535E+02 cm
^{3}/s - -e) 1.688E+02 cm
^{3}/s

3) A spatially uniform magnetic points in the z-direction and oscilates with time as where 3.84 T and 4.410E+03 s^{−1}. Suppose the electric field is always zero at point , and consider a circle of radius 0.379 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral around the circle.

- -a) 3.333E+04 V
- -b) 3.666E+04 V
- +c) 4.033E+04 V
- -d) 4.436E+04 V
- -e) 4.879E+04 V

### QB:Ch 13:V1[edit]

QB153089888039

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

- a) 1.066E-04 V
- b) 1.173E-04 V
- c) 1.290E-04 V
- d) 1.419E-04 V
- e) 1.561E-04 V

2) A spatially uniform magnetic points in the z-direction and oscilates with time as where 3.71 T and 6.600E+03 s^{−1}. Suppose the electric field is always zero at point , and consider a circle of radius 0.31 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral around the circle.

- a) 4.769E+04 V
- b) 5.246E+04 V
- c) 5.771E+04 V
- d) 6.348E+04 V
- e) 6.983E+04 V

--(

*Answer & Why this question is different.*)

- a) 1.128E+02 cm
^{3}/s - b) 1.241E+02 cm
^{3}/s - c) 1.365E+02 cm
^{3}/s - d) 1.502E+02 cm
^{3}/s - e) 1.652E+02 cm
^{3}/s

#### KEY:QB:Ch 13:V1[edit]

QB153089888039

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

- -a) 1.066E-04 V
- -b) 1.173E-04 V
- +c) 1.290E-04 V
- -d) 1.419E-04 V
- -e) 1.561E-04 V

2) A spatially uniform magnetic points in the z-direction and oscilates with time as where 3.71 T and 6.600E+03 s^{−1}. Suppose the electric field is always zero at point , and consider a circle of radius 0.31 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral around the circle.

- +a) 4.769E+04 V
- -b) 5.246E+04 V
- -c) 5.771E+04 V
- -d) 6.348E+04 V
- -e) 6.983E+04 V

--(

*Answer & Why this question is different.*)

- -a) 1.128E+02 cm
^{3}/s - -b) 1.241E+02 cm
^{3}/s - -c) 1.365E+02 cm
^{3}/s - +d) 1.502E+02 cm
^{3}/s - -e) 1.652E+02 cm
^{3}/s

### QB:Ch 13:V2[edit]

QB153089888039

1) A spatially uniform magnetic points in the z-direction and oscilates with time as where 3.58 T and 4.310E+03 s^{−1}. Suppose the electric field is always zero at point , and consider a circle of radius 0.879 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral around the circle.

- a) 7.043E+04 V
- b) 7.747E+04 V
- c) 8.522E+04 V
- d) 9.374E+04 V
- e) 1.031E+05 V

--(

*Answer & Why this question is different.*)

- a) 7.479E+00 cm
^{3}/s - b) 8.227E+00 cm
^{3}/s - c) 9.049E+00 cm
^{3}/s - d) 9.954E+00 cm
^{3}/s - e) 1.095E+01 cm
^{3}/s

3) The current through the windings of a solenoid with n= 2.960E+03 turns per meter is changing at a rate dI/dt=10 A/s. The solenoid is 85 cm long and has a cross-sectional diameter of 3.12 cm. A small coil consisting of N=32turns wraped in a circle of diameter 1.44 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) 1.602E-04 V
- b) 1.762E-04 V
- c) 1.939E-04 V
- d) 2.132E-04 V
- e) 2.346E-04 V

#### KEY:QB:Ch 13:V2[edit]

QB153089888039

1) A spatially uniform magnetic points in the z-direction and oscilates with time as where 3.58 T and 4.310E+03 s^{−1}. Suppose the electric field is always zero at point , and consider a circle of radius 0.879 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral around the circle.

- -a) 7.043E+04 V
- -b) 7.747E+04 V
- +c) 8.522E+04 V
- -d) 9.374E+04 V
- -e) 1.031E+05 V

--(

*Answer & Why this question is different.*)

- -a) 7.479E+00 cm
^{3}/s - -b) 8.227E+00 cm
^{3}/s - -c) 9.049E+00 cm
^{3}/s - -d) 9.954E+00 cm
^{3}/s - +e) 1.095E+01 cm
^{3}/s

3) The current through the windings of a solenoid with n= 2.960E+03 turns per meter is changing at a rate dI/dt=10 A/s. The solenoid is 85 cm long and has a cross-sectional diameter of 3.12 cm. A small coil consisting of N=32turns wraped in a circle of diameter 1.44 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) 1.602E-04 V
- -b) 1.762E-04 V
- +c) 1.939E-04 V
- -d) 2.132E-04 V
- -e) 2.346E-04 V

### QB:Ch 14:V0[edit]

QB153089888039

1) An induced emf of 2.9V is measured across a coil of 51 closely wound turns while the current throuth it increases uniformly from 0.0 to 6.89A in 0.806s. What is the self-inductance of the coil?

- a) 2.549E-01 H
- b) 2.804E-01 H
- c) 3.084E-01 H
- d) 3.392E-01 H
- e) 3.732E-01 H

- a) 2.328E-02 V
- b) 2.560E-02 V
- c) 2.817E-02 V
- d) 3.098E-02 V
- e) 3.408E-02 V

_{1}is suddenly closed at time t=0 in the figure shown. What is the current at t =6.45 s if ε = 7.01 V , R = 7.04 Ω, and L = 8.75 H?

- a) 9.902E-01 V
- b) 1.188E+00 V
- c) 1.426E+00 V
- d) 1.711E+00 V
- e) 2.053E+00 V

#### KEY:QB:Ch 14:V0[edit]

QB153089888039

1) An induced emf of 2.9V is measured across a coil of 51 closely wound turns while the current throuth it increases uniformly from 0.0 to 6.89A in 0.806s. What is the self-inductance of the coil?

- -a) 2.549E-01 H
- -b) 2.804E-01 H
- -c) 3.084E-01 H
- +d) 3.392E-01 H
- -e) 3.732E-01 H

- -a) 2.328E-02 V
- +b) 2.560E-02 V
- -c) 2.817E-02 V
- -d) 3.098E-02 V
- -e) 3.408E-02 V

_{1}is suddenly closed at time t=0 in the figure shown. What is the current at t =6.45 s if ε = 7.01 V , R = 7.04 Ω, and L = 8.75 H?

- +a) 9.902E-01 V
- -b) 1.188E+00 V
- -c) 1.426E+00 V
- -d) 1.711E+00 V
- -e) 2.053E+00 V

### QB:Ch 14:V1[edit]

QB153089888039

- a) 2.328E-02 V
- b) 2.560E-02 V
- c) 2.817E-02 V
- d) 3.098E-02 V
- e) 3.408E-02 V

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

- a) 5.477E-01 H
- b) 6.024E-01 H
- c) 6.627E-01 H
- d) 7.290E-01 H
- e) 8.019E-01 H

_{1}is suddenly closed at time t=0 in the figure shown. What is the current at t =6.01 s if ε = 5.75 V , R = 5.73 Ω, and L = 7.46 H?

- a) 9.936E-01 V
- b) 1.192E+00 V
- c) 1.431E+00 V
- d) 1.717E+00 V
- e) 2.060E+00 V

#### KEY:QB:Ch 14:V1[edit]

QB153089888039

- -a) 2.328E-02 V
- +b) 2.560E-02 V
- -c) 2.817E-02 V
- -d) 3.098E-02 V
- -e) 3.408E-02 V

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

- +a) 5.477E-01 H
- -b) 6.024E-01 H
- -c) 6.627E-01 H
- -d) 7.290E-01 H
- -e) 8.019E-01 H

_{1}is suddenly closed at time t=0 in the figure shown. What is the current at t =6.01 s if ε = 5.75 V , R = 5.73 Ω, and L = 7.46 H?

- +a) 9.936E-01 V
- -b) 1.192E+00 V
- -c) 1.431E+00 V
- -d) 1.717E+00 V
- -e) 2.060E+00 V

### QB:Ch 14:V2[edit]

QB153089888039

1) An induced emf of 6.29V is measured across a coil of 85 closely wound turns while the current throuth it increases uniformly from 0.0 to 2.15A in 0.913s. What is the self-inductance of the coil?

- a) 2.428E+00 H
- b) 2.671E+00 H
- c) 2.938E+00 H
- d) 3.232E+00 H
- e) 3.555E+00 H

_{1}is suddenly closed at time t=0 in the figure shown. What is the current at t =1.95 s if ε = 8.33 V , R = 6.96 Ω, and L = 2.66 H?

- a) 5.736E-01 V
- b) 6.884E-01 V
- c) 8.260E-01 V
- d) 9.912E-01 V
- e) 1.189E+00 V

- a) 3.446E-02 V
- b) 3.790E-02 V
- c) 4.169E-02 V
- d) 4.586E-02 V
- e) 5.045E-02 V

#### KEY:QB:Ch 14:V2[edit]

QB153089888039

1) An induced emf of 6.29V is measured across a coil of 85 closely wound turns while the current throuth it increases uniformly from 0.0 to 2.15A in 0.913s. What is the self-inductance of the coil?

- -a) 2.428E+00 H
- +b) 2.671E+00 H
- -c) 2.938E+00 H
- -d) 3.232E+00 H
- -e) 3.555E+00 H

_{1}is suddenly closed at time t=0 in the figure shown. What is the current at t =1.95 s if ε = 8.33 V , R = 6.96 Ω, and L = 2.66 H?

- -a) 5.736E-01 V
- -b) 6.884E-01 V
- -c) 8.260E-01 V
- -d) 9.912E-01 V
- +e) 1.189E+00 V

- +a) 3.446E-02 V
- -b) 3.790E-02 V
- -c) 4.169E-02 V
- -d) 4.586E-02 V
- -e) 5.045E-02 V

### QB:Ch 15:V0[edit]

QB153089888039

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 9 V. If R =4 Ω, L= 3.40E-03H , and C=8.10E-06 F, what is the rms power transferred to the resistor?

- a) 3.839E-03 Watts
- b) 4.223E-03 Watts
- c) 4.646E-03 Watts
- d) 5.110E-03 Watts
- e) 5.621E-03 Watts

3) The output of an ac generator connected to an RLC series combination has a frequency of 480 Hz and an amplitude of 0.63 V;. If R =7 Ω, L= 3.80E-03H , and C=5.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 9.972E-01 &rad;
- b) 1.097E+00 &rad;
- c) 1.207E+00 &rad;
- d) 1.327E+00 &rad;
- e) 1.460E+00 &rad;

#### KEY:QB:Ch 15:V0[edit]

QB153089888039

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 9 V. If R =4 Ω, L= 3.40E-03H , and C=8.10E-06 F, what is the rms power transferred to the resistor?

- +a) 3.839E-03 Watts
- -b) 4.223E-03 Watts
- -c) 4.646E-03 Watts
- -d) 5.110E-03 Watts
- -e) 5.621E-03 Watts

3) The output of an ac generator connected to an RLC series combination has a frequency of 480 Hz and an amplitude of 0.63 V;. If R =7 Ω, L= 3.80E-03H , and C=5.30E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- +a) 9.972E-01 &rad;
- -b) 1.097E+00 &rad;
- -c) 1.207E+00 &rad;
- -d) 1.327E+00 &rad;
- -e) 1.460E+00 &rad;

### QB:Ch 15:V1[edit]

QB153089888039

1) An ac generator produces an emf of amplitude 60 V at a frequency of 130 Hz. What is the maximum amplitude of the current if the generator is connected to a 85 mF inductor?

- a) 7.856E-01 A
- b) 8.642E-01 A
- c) 9.506E-01 A
- d) 1.046E+00 A
- e) 1.150E+00 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 6.00E+04 Hz and an amplitude of 2 V. If R =3 Ω, L= 7.20E-03H , and C=6.50E-06 F, what is the rms power transferred to the resistor?

- a) 2.222E-05 Watts
- b) 2.444E-05 Watts
- c) 2.689E-05 Watts
- d) 2.958E-05 Watts
- e) 3.253E-05 Watts

3) The output of an ac generator connected to an RLC series combination has a frequency of 510 Hz and an amplitude of 0.24 V;. If R =7 Ω, L= 2.90E-03H , and C=9.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- a) 7.495E-01 &rad;
- b) 8.244E-01 &rad;
- c) 9.068E-01 &rad;
- d) 9.975E-01 &rad;
- e) 1.097E+00 &rad;

#### KEY:QB:Ch 15:V1[edit]

QB153089888039

1) An ac generator produces an emf of amplitude 60 V at a frequency of 130 Hz. What is the maximum amplitude of the current if the generator is connected to a 85 mF inductor?

- -a) 7.856E-01 A
- +b) 8.642E-01 A
- -c) 9.506E-01 A
- -d) 1.046E+00 A
- -e) 1.150E+00 A

2) The output of an ac generator connected to an RLC series combination has a frequency of 6.00E+04 Hz and an amplitude of 2 V. If R =3 Ω, L= 7.20E-03H , and C=6.50E-06 F, what is the rms power transferred to the resistor?

- -a) 2.222E-05 Watts
- -b) 2.444E-05 Watts
- -c) 2.689E-05 Watts
- -d) 2.958E-05 Watts
- +e) 3.253E-05 Watts

3) The output of an ac generator connected to an RLC series combination has a frequency of 510 Hz and an amplitude of 0.24 V;. If R =7 Ω, L= 2.90E-03H , and C=9.00E-04 F, what is the magnitude (absolute value) of the phase difference between current and emf?

- -a) 7.495E-01 &rad;
- -b) 8.244E-01 &rad;
- +c) 9.068E-01 &rad;
- -d) 9.975E-01 &rad;
- -e) 1.097E+00 &rad;

### QB:Ch 15:V2[edit]

QB153089888039

1) An ac generator produces an emf of amplitude 46 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 63 mF inductor?

- a) 4.961E-01 A
- b) 5.457E-01 A
- c) 6.002E-01 A
- d) 6.603E-01 A
- e) 7.263E-01 A

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

- a) 1.143E+00 &rad;
- b) 1.257E+00 &rad;
- c) 1.382E+00 &rad;
- d) 1.521E+00 &rad;
- e) 1.673E+00 &rad;

3) The output of an ac generator connected to an RLC series combination has a frequency of 3.40E+04 Hz and an amplitude of 8 V. If R =4 Ω, L= 6.60E-03H , and C=5.30E-06 F, what is the rms power transferred to the resistor?

- a) 2.007E-03 Watts
- b) 2.208E-03 Watts
- c) 2.429E-03 Watts
- d) 2.672E-03 Watts
- e) 2.939E-03 Watts

#### KEY:QB:Ch 15:V2[edit]

QB153089888039

1) An ac generator produces an emf of amplitude 46 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 63 mF inductor?

- -a) 4.961E-01 A
- -b) 5.457E-01 A
- -c) 6.002E-01 A
- -d) 6.603E-01 A
- +e) 7.263E-01 A

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

- +a) 1.143E+00 &rad;
- -b) 1.257E+00 &rad;
- -c) 1.382E+00 &rad;
- -d) 1.521E+00 &rad;
- -e) 1.673E+00 &rad;

3) The output of an ac generator connected to an RLC series combination has a frequency of 3.40E+04 Hz and an amplitude of 8 V. If R =4 Ω, L= 6.60E-03H , and C=5.30E-06 F, what is the rms power transferred to the resistor?

- -a) 2.007E-03 Watts
- -b) 2.208E-03 Watts
- -c) 2.429E-03 Watts
- +d) 2.672E-03 Watts
- -e) 2.939E-03 Watts

### QB:Ch 16:V0[edit]

QB153089888039

^{2}and separation d=6.70E-03 m is connected via a swith to a 75 Ω resistor and a battery of voltage V

_{0}=17 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=6.50E-04?

- a) 1.505E+03 V/m
- b) 1.656E+03 V/m
- c) 1.821E+03 V/m
- d) 2.003E+03 V/m
- e) 2.204E+03 V/m

2) What is the radiation pressure on an object that is 6.90E+11 m away from the sun and has cross-sectional area of 0.041 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 3.502E-07 N/m
^{2} - b) 3.852E-07 N/m
^{2} - c) 4.237E-07 N/m
^{2} - d) 4.661E-07 N/m
^{2} - e) 5.127E-07 N/m
^{2}

^{2}and separation d=3.60E-03 m is connected via a swith to a 87 Ω resistor and a battery of voltage V

_{0}=61 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=6.70E-04?

- a) 8.320E-02 A
- b) 9.152E-02 A
- c) 1.007E-01 A
- d) 1.107E-01 A
- e) 1.218E-01 A

#### KEY:QB:Ch 16:V0[edit]

QB153089888039

^{2}and separation d=6.70E-03 m is connected via a swith to a 75 Ω resistor and a battery of voltage V

_{0}=17 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=6.50E-04?

- -a) 1.505E+03 V/m
- +b) 1.656E+03 V/m
- -c) 1.821E+03 V/m
- -d) 2.003E+03 V/m
- -e) 2.204E+03 V/m

2) What is the radiation pressure on an object that is 6.90E+11 m away from the sun and has cross-sectional area of 0.041 m^{2}? The average power output of the Sun is 3.80E+26 W.

- -a) 3.502E-07 N/m
^{2} - -b) 3.852E-07 N/m
^{2} - +c) 4.237E-07 N/m
^{2} - -d) 4.661E-07 N/m
^{2} - -e) 5.127E-07 N/m
^{2}

^{2}and separation d=3.60E-03 m is connected via a swith to a 87 Ω resistor and a battery of voltage V

_{0}=61 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=6.70E-04?

- -a) 8.320E-02 A
- -b) 9.152E-02 A
- -c) 1.007E-01 A
- -d) 1.107E-01 A
- +e) 1.218E-01 A

### QB:Ch 16:V1[edit]

QB153089888039

1) What is the radiation pressure on an object that is 6.90E+11 m away from the sun and has cross-sectional area of 0.041 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 3.502E-07 N/m
^{2} - b) 3.852E-07 N/m
^{2} - c) 4.237E-07 N/m
^{2} - d) 4.661E-07 N/m
^{2} - e) 5.127E-07 N/m
^{2}

^{2}and separation d=4.40E-03 m is connected via a swith to a 87 Ω resistor and a battery of voltage V

_{0}=37 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=9.20E-04?

- a) 4.578E+03 V/m
- b) 5.036E+03 V/m
- c) 5.539E+03 V/m
- d) 6.093E+03 V/m
- e) 6.703E+03 V/m

^{2}and separation d=6.60E-03 m is connected via a swith to a 20 Ω resistor and a battery of voltage V

_{0}=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

#### KEY:QB:Ch 16:V1[edit]

QB153089888039

1) What is the radiation pressure on an object that is 6.90E+11 m away from the sun and has cross-sectional area of 0.041 m^{2}? The average power output of the Sun is 3.80E+26 W.

- -a) 3.502E-07 N/m
^{2} - -b) 3.852E-07 N/m
^{2} - +c) 4.237E-07 N/m
^{2} - -d) 4.661E-07 N/m
^{2} - -e) 5.127E-07 N/m
^{2}

^{2}and separation d=4.40E-03 m is connected via a swith to a 87 Ω resistor and a battery of voltage V

_{0}=37 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=9.20E-04?

- -a) 4.578E+03 V/m
- -b) 5.036E+03 V/m
- -c) 5.539E+03 V/m
- +d) 6.093E+03 V/m
- -e) 6.703E+03 V/m

^{2}and separation d=6.60E-03 m is connected via a swith to a 20 Ω resistor and a battery of voltage V

_{0}=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

### QB:Ch 16:V2[edit]

QB153089888039

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 0.099 m^{2}? The average power output of the Sun is 3.80E+26 W.

- a) 1.464E-07 N/m
^{2} - b) 1.611E-07 N/m
^{2} - c) 1.772E-07 N/m
^{2} - d) 1.949E-07 N/m
^{2} - e) 2.144E-07 N/m
^{2}

^{2}and separation d=6.70E-03 m is connected via a swith to a 75 Ω resistor and a battery of voltage V

_{0}=17 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=6.50E-04?

- a) 1.505E+03 V/m
- b) 1.656E+03 V/m
- c) 1.821E+03 V/m
- d) 2.003E+03 V/m
- e) 2.204E+03 V/m

^{2}and separation d=7.40E-03 m is connected via a swith to a 18 Ω resistor and a battery of voltage V

_{0}=8 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=2.20E-04?

- a) 6.259E-02 A
- b) 6.885E-02 A
- c) 7.573E-02 A
- d) 8.331E-02 A
- e) 9.164E-02 A

#### KEY:QB:Ch 16:V2[edit]

QB153089888039

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 0.099 m^{2}? The average power output of the Sun is 3.80E+26 W.

- -a) 1.464E-07 N/m
^{2} - -b) 1.611E-07 N/m
^{2} - -c) 1.772E-07 N/m
^{2} - -d) 1.949E-07 N/m
^{2} - +e) 2.144E-07 N/m
^{2}

^{2}and separation d=6.70E-03 m is connected via a swith to a 75 Ω resistor and a battery of voltage V

_{0}=17 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=6.50E-04?

- -a) 1.505E+03 V/m
- +b) 1.656E+03 V/m
- -c) 1.821E+03 V/m
- -d) 2.003E+03 V/m
- -e) 2.204E+03 V/m

^{2}and separation d=7.40E-03 m is connected via a swith to a 18 Ω resistor and a battery of voltage V

_{0}=8 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=2.20E-04?

- -a) 6.259E-02 A
- -b) 6.885E-02 A
- -c) 7.573E-02 A
- +d) 8.331E-02 A
- -e) 9.164E-02 A