# Quizbank/Electricity and Magnetism (calculus based)/QB153089888034

QB153089888034

## 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]

QB153089888034

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) 8.253E-01 V/m
^{2} - b) 9.079E-01 V/m
^{2} - c) 9.987E-01 V/m
^{2} - d) 1.099E+00 V/m
^{2} - e) 1.208E+00 V/m
^{2}

- a) 5.377E+01 degrees
- b) 5.914E+01 degrees
- c) 6.506E+01 degrees
- d) 7.157E+01 degrees
- e) 7.872E+01 degrees

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=1.7 m. Evaluate at x=0.52 m if a=0.88 m, b=1.3 m. The total charge on the rod is 6 nC.

- a) 6.804E+00 V/m
^{2} - b) 7.485E+00 V/m
^{2} - c) 8.233E+00 V/m
^{2} - d) 9.056E+00 V/m
^{2} - e) 9.962E+00 V/m
^{2}

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

QB153089888034

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) 8.253E-01 V/m
^{2} - -b) 9.079E-01 V/m
^{2} - +c) 9.987E-01 V/m
^{2} - -d) 1.099E+00 V/m
^{2} - -e) 1.208E+00 V/m
^{2}

- -a) 5.377E+01 degrees
- -b) 5.914E+01 degrees
- -c) 6.506E+01 degrees
- +d) 7.157E+01 degrees
- -e) 7.872E+01 degrees

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=1.7 m. Evaluate at x=0.52 m if a=0.88 m, b=1.3 m. The total charge on the rod is 6 nC.

- -a) 6.804E+00 V/m
^{2} - +b) 7.485E+00 V/m
^{2} - -c) 8.233E+00 V/m
^{2} - -d) 9.056E+00 V/m
^{2} - -e) 9.962E+00 V/m
^{2}

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

QB153089888034

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=1.7 m. Evaluate at x=0.76 m if a=1.1 m, b=1.6 m. The total charge on the rod is 8 nC.

- a) 5.267E+00 V/m
^{2} - b) 5.794E+00 V/m
^{2} - c) 6.374E+00 V/m
^{2} - d) 7.011E+00 V/m
^{2} - e) 7.712E+00 V/m
^{2}

- a) 6.343E+01 degrees
- b) 6.978E+01 degrees
- c) 7.676E+01 degrees
- d) 8.443E+01 degrees
- e) 9.288E+01 degrees

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) 3.228E+00 V/m
^{2} - b) 3.551E+00 V/m
^{2} - c) 3.906E+00 V/m
^{2} - d) 4.297E+00 V/m
^{2} - e) 4.727E+00 V/m
^{2}

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

QB153089888034

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=1.7 m. Evaluate at x=0.76 m if a=1.1 m, b=1.6 m. The total charge on the rod is 8 nC.

- -a) 5.267E+00 V/m
^{2} - -b) 5.794E+00 V/m
^{2} - -c) 6.374E+00 V/m
^{2} - +d) 7.011E+00 V/m
^{2} - -e) 7.712E+00 V/m
^{2}

- +a) 6.343E+01 degrees
- -b) 6.978E+01 degrees
- -c) 7.676E+01 degrees
- -d) 8.443E+01 degrees
- -e) 9.288E+01 degrees

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) 3.228E+00 V/m
^{2} - -b) 3.551E+00 V/m
^{2} - -c) 3.906E+00 V/m
^{2} - -d) 4.297E+00 V/m
^{2} - +e) 4.727E+00 V/m
^{2}

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

QB153089888034

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) 7.517E+00 V/m
^{2} - b) 8.269E+00 V/m
^{2} - c) 9.096E+00 V/m
^{2} - d) 1.001E+01 V/m
^{2} - e) 1.101E+01 V/m
^{2}

- a) 5.914E+01 degrees
- b) 6.506E+01 degrees
- c) 7.157E+01 degrees
- d) 7.872E+01 degrees
- e) 8.659E+01 degrees

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=1.3 m. Evaluate at x=0.96 m if a=0.63 m, b=1.4 m. The total charge on the rod is 3 nC.

- a) 3.719E+00 V/m
^{2} - b) 4.091E+00 V/m
^{2} - c) 4.500E+00 V/m
^{2} - d) 4.950E+00 V/m
^{2} - e) 5.445E+00 V/m
^{2}

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

QB153089888034

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) 7.517E+00 V/m
^{2} - -b) 8.269E+00 V/m
^{2} - -c) 9.096E+00 V/m
^{2} - -d) 1.001E+01 V/m
^{2} - +e) 1.101E+01 V/m
^{2}

- -a) 5.914E+01 degrees
- -b) 6.506E+01 degrees
- +c) 7.157E+01 degrees
- -d) 7.872E+01 degrees
- -e) 8.659E+01 degrees

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=1.3 m. Evaluate at x=0.96 m if a=0.63 m, b=1.4 m. The total charge on the rod is 3 nC.

- -a) 3.719E+00 V/m
^{2} - +b) 4.091E+00 V/m
^{2} - -c) 4.500E+00 V/m
^{2} - -d) 4.950E+00 V/m
^{2} - -e) 5.445E+00 V/m
^{2}

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

QB153089888034

_{1}=2.5 m. The other four surfaces are rectangles in y=y

_{0}=1.3 m, y=y

_{1}=5.3 m, z=z

_{0}=1.3 m, and z=z

_{1}=4.3 m. The surfaces in the yz plane each have area 12.0m

^{2}. Those in the xy plane have area 10.0m

^{2},and those in the zx plane have area 7.5m

^{2}. An electric field has the xyz components (0, 9.7, 9.3) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

- a) 6.614E+01 N·m
^{2}/C - b) 7.275E+01 N·m
^{2}/C - c) 8.003E+01 N·m
^{2}/C - d) 8.803E+01 N·m
^{2}/C - e) 9.683E+01 N·m
^{2}/C

2) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=6, y=0), (x=0, y=6), and (x=6, y=6), where x and y are measured in meters. The electric field is,

- a) 9.952E+03 V·m
- b) 1.095E+04 V·m
- c) 1.204E+04 V·m
- d) 1.325E+04 V·m
- e) 1.457E+04 V·m

_{1}=2.2 m. The other four surfaces are rectangles in y=y

_{0}=1.7 m, y=y

_{1}=4.6 m, z=z

_{0}=1.4 m, and z=z

_{1}=4.5 m. The surfaces in the yz plane each have area 9.0m

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

^{2},and those in the zx plane have area 6.8m

^{2}. An electric field of magnitude 15 N/C has components in the y and z directions and is directed at 31° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

- a) 3.959E+01 N·m
^{2}/C - b) 4.354E+01 N·m
^{2}/C - c) 4.790E+01 N·m
^{2}/C - d) 5.269E+01 N·m
^{2}/C - e) 5.796E+01 N·m
^{2}/C

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

QB153089888034

_{1}=2.5 m. The other four surfaces are rectangles in y=y

_{0}=1.3 m, y=y

_{1}=5.3 m, z=z

_{0}=1.3 m, and z=z

_{1}=4.3 m. The surfaces in the yz plane each have area 12.0m

^{2}. Those in the xy plane have area 10.0m

^{2},and those in the zx plane have area 7.5m

^{2}. An electric field has the xyz components (0, 9.7, 9.3) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

- -a) 6.614E+01 N·m
^{2}/C - +b) 7.275E+01 N·m
^{2}/C - -c) 8.003E+01 N·m
^{2}/C - -d) 8.803E+01 N·m
^{2}/C - -e) 9.683E+01 N·m
^{2}/C

2) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=6, y=0), (x=0, y=6), and (x=6, y=6), where x and y are measured in meters. The electric field is,

- -a) 9.952E+03 V·m
- -b) 1.095E+04 V·m
- -c) 1.204E+04 V·m
- +d) 1.325E+04 V·m
- -e) 1.457E+04 V·m

_{1}=2.2 m. The other four surfaces are rectangles in y=y

_{0}=1.7 m, y=y

_{1}=4.6 m, z=z

_{0}=1.4 m, and z=z

_{1}=4.5 m. The surfaces in the yz plane each have area 9.0m

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

^{2},and those in the zx plane have area 6.8m

^{2}. An electric field of magnitude 15 N/C has components in the y and z directions and is directed at 31° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

- -a) 3.959E+01 N·m
^{2}/C - -b) 4.354E+01 N·m
^{2}/C - -c) 4.790E+01 N·m
^{2}/C - +d) 5.269E+01 N·m
^{2}/C - -e) 5.796E+01 N·m
^{2}/C

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

QB153089888034

_{1}=2.3 m. The other four surfaces are rectangles in y=y

_{0}=1.5 m, y=y

_{1}=5.2 m, z=z

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

_{1}=4.4 m. The surfaces in the yz plane each have area 9.6m

^{2}. Those in the xy plane have area 8.5m

^{2},and those in the zx plane have area 6.0m

^{2}. An electric field has the xyz components (0, 8.7, 8.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

- a) 4.730E+01 N·m
^{2}/C - b) 5.203E+01 N·m
^{2}/C - c) 5.723E+01 N·m
^{2}/C - d) 6.295E+01 N·m
^{2}/C - e) 6.925E+01 N·m
^{2}/C

_{1}=2.2 m. The other four surfaces are rectangles in y=y

_{0}=1.7 m, y=y

_{1}=4.6 m, z=z

_{0}=1.4 m, and z=z

_{1}=4.5 m. The surfaces in the yz plane each have area 9.0m

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

^{2},and those in the zx plane have area 6.8m

^{2}. An electric field of magnitude 15 N/C has components in the y and z directions and is directed at 31° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

- a) 3.959E+01 N·m
^{2}/C - b) 4.354E+01 N·m
^{2}/C - c) 4.790E+01 N·m
^{2}/C - d) 5.269E+01 N·m
^{2}/C - e) 5.796E+01 N·m
^{2}/C

3) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=5, y=0), (x=0, y=7), and (x=5, y=7), where x and y are measured in meters. The electric field is,

- a) 1.997E+03 V·m
- b) 2.197E+03 V·m
- c) 2.417E+03 V·m
- d) 2.659E+03 V·m
- e) 2.924E+03 V·m

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

QB153089888034

_{1}=2.3 m. The other four surfaces are rectangles in y=y

_{0}=1.5 m, y=y

_{1}=5.2 m, z=z

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

_{1}=4.4 m. The surfaces in the yz plane each have area 9.6m

^{2}. Those in the xy plane have area 8.5m

^{2},and those in the zx plane have area 6.0m

^{2}. An electric field has the xyz components (0, 8.7, 8.4) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

- -a) 4.730E+01 N·m
^{2}/C - +b) 5.203E+01 N·m
^{2}/C - -c) 5.723E+01 N·m
^{2}/C - -d) 6.295E+01 N·m
^{2}/C - -e) 6.925E+01 N·m
^{2}/C

_{1}=2.2 m. The other four surfaces are rectangles in y=y

_{0}=1.7 m, y=y

_{1}=4.6 m, z=z

_{0}=1.4 m, and z=z

_{1}=4.5 m. The surfaces in the yz plane each have area 9.0m

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

^{2},and those in the zx plane have area 6.8m

^{2}. An electric field of magnitude 15 N/C has components in the y and z directions and is directed at 31° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

- -a) 3.959E+01 N·m
^{2}/C - -b) 4.354E+01 N·m
^{2}/C - -c) 4.790E+01 N·m
^{2}/C - +d) 5.269E+01 N·m
^{2}/C - -e) 5.796E+01 N·m
^{2}/C

3) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=5, y=0), (x=0, y=7), and (x=5, y=7), where x and y are measured in meters. The electric field is,

- -a) 1.997E+03 V·m
- +b) 2.197E+03 V·m
- -c) 2.417E+03 V·m
- -d) 2.659E+03 V·m
- -e) 2.924E+03 V·m

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

QB153089888034

1) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=7, y=0), (x=0, y=6), and (x=7, y=6), where x and y are measured in meters. The electric field is,

- a) 3.337E+03 V·m
- b) 3.670E+03 V·m
- c) 4.037E+03 V·m
- d) 4.441E+03 V·m
- e) 4.885E+03 V·m

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

_{0}=1.7 m, y=y

_{1}=4.2 m, z=z

_{0}=1.1 m, and z=z

_{1}=4.5 m. The surfaces in the yz plane each have area 8.5m

^{2}. Those in the xy plane have area 2.8m

^{2},and those in the zx plane have area 3.7m

^{2}. An electric field has the xyz components (0, 7.4, 8.9) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

- a) 2.079E+01 N·m
^{2}/C - b) 2.287E+01 N·m
^{2}/C - c) 2.516E+01 N·m
^{2}/C - d) 2.768E+01 N·m
^{2}/C - e) 3.044E+01 N·m
^{2}/C

_{1}=1.5 m. The other four surfaces are rectangles in y=y

_{0}=1.4 m, y=y

_{1}=4.3 m, z=z

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

_{1}=4.6 m. The surfaces in the yz plane each have area 9.9m

^{2}. Those in the xy plane have area 4.3m

^{2},and those in the zx plane have area 5.1m

^{2}. An electric field of magnitude 19 N/C has components in the y and z directions and is directed at 31° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

- a) 3.750E+01 N·m
^{2}/C - b) 4.125E+01 N·m
^{2}/C - c) 4.537E+01 N·m
^{2}/C - d) 4.991E+01 N·m
^{2}/C - e) 5.490E+01 N·m
^{2}/C

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

QB153089888034

1) What is the magnetude (absolute value) of the electric flux through a rectangle that occupies the z=0 plane with corners at (x,y)= (x=0, y=0), (x=7, y=0), (x=0, y=6), and (x=7, y=6), where x and y are measured in meters. The electric field is,

- +a) 3.337E+03 V·m
- -b) 3.670E+03 V·m
- -c) 4.037E+03 V·m
- -d) 4.441E+03 V·m
- -e) 4.885E+03 V·m

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

_{0}=1.7 m, y=y

_{1}=4.2 m, z=z

_{0}=1.1 m, and z=z

_{1}=4.5 m. The surfaces in the yz plane each have area 8.5m

^{2}. Those in the xy plane have area 2.8m

^{2},and those in the zx plane have area 3.7m

^{2}. An electric field has the xyz components (0, 7.4, 8.9) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

- -a) 2.079E+01 N·m
^{2}/C - -b) 2.287E+01 N·m
^{2}/C - -c) 2.516E+01 N·m
^{2}/C - +d) 2.768E+01 N·m
^{2}/C - -e) 3.044E+01 N·m
^{2}/C

_{1}=1.5 m. The other four surfaces are rectangles in y=y

_{0}=1.4 m, y=y

_{1}=4.3 m, z=z

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

_{1}=4.6 m. The surfaces in the yz plane each have area 9.9m

^{2}. Those in the xy plane have area 4.3m

^{2},and those in the zx plane have area 5.1m

^{2}. An electric field of magnitude 19 N/C has components in the y and z directions and is directed at 31° from the z-axis. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?

- -a) 3.750E+01 N·m
^{2}/C - -b) 4.125E+01 N·m
^{2}/C - -c) 4.537E+01 N·m
^{2}/C - +d) 4.991E+01 N·m
^{2}/C - -e) 5.490E+01 N·m
^{2}/C

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

QB153089888034

1) Assume that a 24 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, 27°).

- a) 5.540E+02 V
- b) 6.095E+02 V
- c) 6.704E+02 V
- d) 7.374E+02 V
- e) 8.112E+02 V

- a) 5.434E-01 N
- b) 5.977E-01 N
- c) 6.575E-01 N
- d) 7.233E-01 N
- e) 7.956E-01 N

*a*=

*b*=3 cm.) The charges are q

_{1}=4 μC, q

_{2}=5 μC, q

_{3}=7 μC, and q

_{4}=8 μC. How much work was required to assemble these four charges from infinity?

- a) 3.910E+01 J
- b) 4.301E+01 J
- c) 4.731E+01 J
- d) 5.204E+01 J
- e) 5.725E+01 J

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

QB153089888034

1) Assume that a 24 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, 27°).

- -a) 5.540E+02 V
- -b) 6.095E+02 V
- -c) 6.704E+02 V
- +d) 7.374E+02 V
- -e) 8.112E+02 V

- +a) 5.434E-01 N
- -b) 5.977E-01 N
- -c) 6.575E-01 N
- -d) 7.233E-01 N
- -e) 7.956E-01 N

*a*=

*b*=3 cm.) The charges are q

_{1}=4 μC, q

_{2}=5 μC, q

_{3}=7 μC, and q

_{4}=8 μC. How much work was required to assemble these four charges from infinity?

- -a) 3.910E+01 J
- -b) 4.301E+01 J
- -c) 4.731E+01 J
- -d) 5.204E+01 J
- +e) 5.725E+01 J

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

QB153089888034

*a*=

*b*=4 cm.) The charges are q

_{1}=3 μC, q

_{2}=6 μC, q

_{3}=9 μC, and q

_{4}=10 μC. How much work was required to assemble these four charges from infinity?

- a) 5.178E+01 J
- b) 5.696E+01 J
- c) 6.266E+01 J
- d) 6.892E+01 J
- e) 7.582E+01 J

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

- a) 5.367E-01 N
- b) 5.904E-01 N
- c) 6.494E-01 N
- d) 7.144E-01 N
- e) 7.858E-01 N

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

QB153089888034

*a*=

*b*=4 cm.) The charges are q

_{1}=3 μC, q

_{2}=6 μC, q

_{3}=9 μC, and q

_{4}=10 μC. How much work was required to assemble these four charges from infinity?

- -a) 5.178E+01 J
- +b) 5.696E+01 J
- -c) 6.266E+01 J
- -d) 6.892E+01 J
- -e) 7.582E+01 J

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

- +a) 5.367E-01 N
- -b) 5.904E-01 N
- -c) 6.494E-01 N
- -d) 7.144E-01 N
- -e) 7.858E-01 N

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

QB153089888034

- a) 8.206E-01 N
- b) 9.027E-01 N
- c) 9.930E-01 N
- d) 1.092E+00 N
- e) 1.201E+00 N

*a*=

*b*=5 cm.) The charges are q

_{1}=4 μC, q

_{2}=7 μC, q

_{3}=8 μC, and q

_{4}=9 μC. How much work was required to assemble these four charges from infinity?

- a) 4.235E+01 J
- b) 4.659E+01 J
- c) 5.125E+01 J
- d) 5.637E+01 J
- e) 6.201E+01 J

3) Assume that a 15 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 (14 cm, 77°).

- a) 1.184E+03 V
- b) 1.302E+03 V
- c) 1.432E+03 V
- d) 1.576E+03 V
- e) 1.733E+03 V

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

QB153089888034

- -a) 8.206E-01 N
- +b) 9.027E-01 N
- -c) 9.930E-01 N
- -d) 1.092E+00 N
- -e) 1.201E+00 N

*a*=

*b*=5 cm.) The charges are q

_{1}=4 μC, q

_{2}=7 μC, q

_{3}=8 μC, and q

_{4}=9 μC. How much work was required to assemble these four charges from infinity?

- -a) 4.235E+01 J
- +b) 4.659E+01 J
- -c) 5.125E+01 J
- -d) 5.637E+01 J
- -e) 6.201E+01 J

3) Assume that a 15 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 (14 cm, 77°).

- -a) 1.184E+03 V
- -b) 1.302E+03 V
- -c) 1.432E+03 V
- -d) 1.576E+03 V
- +e) 1.733E+03 V

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

QB153089888034

_{1}=2.25 μF, C

_{2}=4.16 μF, and C

_{3}=2.49 μF in the configuration shown?

- a) 2.698E+00 μF
- b) 2.968E+00 μF
- c) 3.265E+00 μF
- d) 3.591E+00 μF
- e) 3.950E+00 μF

_{1}=16.5 μF, C

_{2}=2.7 μF, and C

_{3}=4.82 μF. The voltage source provides ε=15.7 V. What is the energy stored in C

_{2}?

- a) 2.188E+01 μJ
- b) 2.407E+01 μJ
- c) 2.647E+01 μJ
- d) 2.912E+01 μJ
- e) 3.203E+01 μJ

_{1}=17.9 μF, C

_{2}=2.76 μF, and C

_{3}=5.12 μF. The voltage source provides ε=13.2 V. What is the charge on C

_{1}?

- a) 5.969E+01 μC
- b) 6.566E+01 μC
- c) 7.222E+01 μC
- d) 7.944E+01 μC
- e) 8.739E+01 μC

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

QB153089888034

_{1}=2.25 μF, C

_{2}=4.16 μF, and C

_{3}=2.49 μF in the configuration shown?

- -a) 2.698E+00 μF
- -b) 2.968E+00 μF
- -c) 3.265E+00 μF
- -d) 3.591E+00 μF
- +e) 3.950E+00 μF

_{1}=16.5 μF, C

_{2}=2.7 μF, and C

_{3}=4.82 μF. The voltage source provides ε=15.7 V. What is the energy stored in C

_{2}?

- -a) 2.188E+01 μJ
- -b) 2.407E+01 μJ
- -c) 2.647E+01 μJ
- +d) 2.912E+01 μJ
- -e) 3.203E+01 μJ

_{1}=17.9 μF, C

_{2}=2.76 μF, and C

_{3}=5.12 μF. The voltage source provides ε=13.2 V. What is the charge on C

_{1}?

- -a) 5.969E+01 μC
- -b) 6.566E+01 μC
- +c) 7.222E+01 μC
- -d) 7.944E+01 μC
- -e) 8.739E+01 μC

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

QB153089888034

_{1}=15.4 μF, C

_{2}=2.6 μF, and C

_{3}=5.17 μF. The voltage source provides ε=9.6 V. What is the energy stored in C

_{2}?

- 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

_{1}=2.24 μF, C

_{2}=4.86 μF, and C

_{3}=3.64 μF in the configuration shown?

- a) 4.275E+00 μF
- b) 4.703E+00 μF
- c) 5.173E+00 μF
- d) 5.691E+00 μF
- e) 6.260E+00 μF

_{1}=19.0 μF, C

_{2}=2.35 μF, and C

_{3}=5.22 μF. The voltage source provides ε=6.01 V. What is the charge on C

_{1}?

- a) 2.444E+01 μC
- b) 2.689E+01 μC
- c) 2.958E+01 μC
- d) 3.253E+01 μC
- e) 3.579E+01 μC

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

QB153089888034

_{1}=15.4 μF, C

_{2}=2.6 μF, and C

_{3}=5.17 μF. The voltage source provides ε=9.6 V. What is the energy stored in C

_{2}?

- -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

_{1}=2.24 μF, C

_{2}=4.86 μF, and C

_{3}=3.64 μF in the configuration shown?

- -a) 4.275E+00 μF
- -b) 4.703E+00 μF
- +c) 5.173E+00 μF
- -d) 5.691E+00 μF
- -e) 6.260E+00 μF

_{1}=19.0 μF, C

_{2}=2.35 μF, and C

_{3}=5.22 μF. The voltage source provides ε=6.01 V. What is the charge on C

_{1}?

- -a) 2.444E+01 μC
- -b) 2.689E+01 μC
- -c) 2.958E+01 μC
- +d) 3.253E+01 μC
- -e) 3.579E+01 μC

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

QB153089888034

_{1}=19.2 μF, C

_{2}=2.86 μF, and C

_{3}=5.03 μF. The voltage source provides ε=9.46 V. What is the charge on C

_{1}?

- a) 4.809E+01 μC
- b) 5.290E+01 μC
- c) 5.819E+01 μC
- d) 6.401E+01 μC
- e) 7.041E+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]

QB153089888034

_{1}=19.2 μF, C

_{2}=2.86 μF, and C

_{3}=5.03 μF. The voltage source provides ε=9.46 V. What is the charge on C

_{1}?

- -a) 4.809E+01 μC
- +b) 5.290E+01 μC
- -c) 5.819E+01 μC
- -d) 6.401E+01 μC
- -e) 7.041E+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]

QB153089888034

1) Calculate the drift speed of electrons in a copper wire with a diameter of 4.9 mm carrying a 6.43 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/mol.

- a) 2.109E-05 m/s
- b) 2.320E-05 m/s
- c) 2.552E-05 m/s
- d) 2.807E-05 m/s
- e) 3.088E-05 m/s

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

- a) 2.240E+02 A
- b) 2.464E+02 A
- c) 2.711E+02 A
- d) 2.982E+02 A
- e) 3.280E+02 A

3) A make-believe metal has a density of 7.000E+03 kg/m^{3} and an atomic mass of 89.4 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

- a) 3.219E+28 e
^{−}/m^{3} - b) 3.541E+28 e
^{−}/m^{3} - c) 3.896E+28 e
^{−}/m^{3} - d) 4.285E+28 e
^{−}/m^{3} - e) 4.714E+28 e
^{−}/m^{3}

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

QB153089888034

1) Calculate the drift speed of electrons in a copper wire with a diameter of 4.9 mm carrying a 6.43 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/mol.

- -a) 2.109E-05 m/s
- -b) 2.320E-05 m/s
- +c) 2.552E-05 m/s
- -d) 2.807E-05 m/s
- -e) 3.088E-05 m/s

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

- -a) 2.240E+02 A
- -b) 2.464E+02 A
- +c) 2.711E+02 A
- -d) 2.982E+02 A
- -e) 3.280E+02 A

3) A make-believe metal has a density of 7.000E+03 kg/m^{3} and an atomic mass of 89.4 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

- -a) 3.219E+28 e
^{−}/m^{3} - -b) 3.541E+28 e
^{−}/m^{3} - -c) 3.896E+28 e
^{−}/m^{3} - -d) 4.285E+28 e
^{−}/m^{3} - +e) 4.714E+28 e
^{−}/m^{3}

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

QB153089888034

1) A make-believe metal has a density of 8.690E+03 kg/m^{3} and an atomic mass of 48.4 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

- a) 1.081E+29 e
^{−}/m^{3} - b) 1.189E+29 e
^{−}/m^{3} - c) 1.308E+29 e
^{−}/m^{3} - d) 1.439E+29 e
^{−}/m^{3} - e) 1.582E+29 e
^{−}/m^{3}

2) What is the average current involved when a truck battery sets in motion 537 C of charge in 5.08 s while starting an engine?

- a) 8.736E+01 A
- b) 9.610E+01 A
- c) 1.057E+02 A
- d) 1.163E+02 A
- e) 1.279E+02 A

3) Calculate the drift speed of electrons in a copper wire with a diameter of 3.53 mm carrying a 2.8 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/mol.

- a) 1.947E-05 m/s
- b) 2.141E-05 m/s
- c) 2.355E-05 m/s
- d) 2.591E-05 m/s
- e) 2.850E-05 m/s

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

QB153089888034

1) A make-believe metal has a density of 8.690E+03 kg/m^{3} and an atomic mass of 48.4 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

- +a) 1.081E+29 e
^{−}/m^{3} - -b) 1.189E+29 e
^{−}/m^{3} - -c) 1.308E+29 e
^{−}/m^{3} - -d) 1.439E+29 e
^{−}/m^{3} - -e) 1.582E+29 e
^{−}/m^{3}

2) What is the average current involved when a truck battery sets in motion 537 C of charge in 5.08 s while starting an engine?

- -a) 8.736E+01 A
- -b) 9.610E+01 A
- +c) 1.057E+02 A
- -d) 1.163E+02 A
- -e) 1.279E+02 A

3) Calculate the drift speed of electrons in a copper wire with a diameter of 3.53 mm carrying a 2.8 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/mol.

- -a) 1.947E-05 m/s
- +b) 2.141E-05 m/s
- -c) 2.355E-05 m/s
- -d) 2.591E-05 m/s
- -e) 2.850E-05 m/s

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

QB153089888034

1) A make-believe metal has a density of 8.690E+03 kg/m^{3} and an atomic mass of 48.4 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

- a) 1.081E+29 e
^{−}/m^{3} - b) 1.189E+29 e
^{−}/m^{3} - c) 1.308E+29 e
^{−}/m^{3} - d) 1.439E+29 e
^{−}/m^{3} - e) 1.582E+29 e
^{−}/m^{3}

2) Calculate the drift speed of electrons in a copper wire with a diameter of 3.53 mm carrying a 2.8 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/mol.

- a) 1.947E-05 m/s
- b) 2.141E-05 m/s
- c) 2.355E-05 m/s
- d) 2.591E-05 m/s
- e) 2.850E-05 m/s

3) What is the average current involved when a truck battery sets in motion 537 C of charge in 5.08 s while starting an engine?

- a) 8.736E+01 A
- b) 9.610E+01 A
- c) 1.057E+02 A
- d) 1.163E+02 A
- e) 1.279E+02 A

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

QB153089888034

^{3} and an atomic mass of 48.4 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

- +a) 1.081E+29 e
^{−}/m^{3} - -b) 1.189E+29 e
^{−}/m^{3} - -c) 1.308E+29 e
^{−}/m^{3} - -d) 1.439E+29 e
^{−}/m^{3} - -e) 1.582E+29 e
^{−}/m^{3}

2) Calculate the drift speed of electrons in a copper wire with a diameter of 3.53 mm carrying a 2.8 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 10^{3}kg/m^{3} and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 10^{23}atoms/mol.

- -a) 1.947E-05 m/s
- +b) 2.141E-05 m/s
- -c) 2.355E-05 m/s
- -d) 2.591E-05 m/s
- -e) 2.850E-05 m/s

3) What is the average current involved when a truck battery sets in motion 537 C of charge in 5.08 s while starting an engine?

- -a) 8.736E+01 A
- -b) 9.610E+01 A
- +c) 1.057E+02 A
- -d) 1.163E+02 A
- -e) 1.279E+02 A

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

QB153089888034

_{1}=20.6 V, and ε

_{2}=9.53 V are oriented as shownin the circuit. The resistances are R

_{1}=5.46 kΩ and R

_{2}=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. I

_{3}=1.5 mA and I

_{4}=0.415 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 1.085E+00 mA
- b) 1.194E+00 mA
- c) 1.313E+00 mA
- d) 1.444E+00 mA
- e) 1.589E+00 mA

- 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}= 2.38 Ω, R

_{2}= 1.87 Ω, and R

_{2}= 2.32 Ω. V

_{1}and V

_{3}are text 0.605 V and 3.8 V, respectively. But V

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

_{2}=−0.67 V. What is the absolute value of the current through R

_{1}?

- a) 8.147E-02 A
- b) 8.962E-02 A
- c) 9.858E-02 A
- d) 1.084E-01 A
- e) 1.193E-01 A

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

QB153089888034

_{1}=20.6 V, and ε

_{2}=9.53 V are oriented as shownin the circuit. The resistances are R

_{1}=5.46 kΩ and R

_{2}=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. I

_{3}=1.5 mA and I

_{4}=0.415 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- +a) 1.085E+00 mA
- -b) 1.194E+00 mA
- -c) 1.313E+00 mA
- -d) 1.444E+00 mA
- -e) 1.589E+00 mA

- -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}= 2.38 Ω, R

_{2}= 1.87 Ω, and R

_{2}= 2.32 Ω. V

_{1}and V

_{3}are text 0.605 V and 3.8 V, respectively. But V

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

_{2}=−0.67 V. What is the absolute value of the current through R

_{1}?

- -a) 8.147E-02 A
- -b) 8.962E-02 A
- -c) 9.858E-02 A
- +d) 1.084E-01 A
- -e) 1.193E-01 A

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

QB153089888034

_{1}= 2.41 Ω, R

_{2}= 1.74 Ω, and R

_{2}= 3.35 Ω. V

_{1}and V

_{3}are text 0.508 V and 1.36 V, respectively. But V

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

_{2}=−0.595 V. What is the absolute value of the current through R

_{1}?

- a) 1.203E-01 A
- b) 1.324E-01 A
- c) 1.456E-01 A
- d) 1.602E-01 A
- e) 1.762E-01 A

- a) 1.296E+01 s
- b) 1.425E+01 s
- c) 1.568E+01 s
- d) 1.725E+01 s
- e) 1.897E+01 s

_{1}=44.4 V, and ε

_{2}=16.8 V are oriented as shownin the circuit. The resistances are R

_{1}=4.58 kΩ and R

_{2}=1.2 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=8.43 mA and I

_{4}=1.46 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 6.970E+00 mA
- b) 7.667E+00 mA
- c) 8.434E+00 mA
- d) 9.277E+00 mA
- e) 1.020E+01 mA

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

QB153089888034

_{1}= 2.41 Ω, R

_{2}= 1.74 Ω, and R

_{2}= 3.35 Ω. V

_{1}and V

_{3}are text 0.508 V and 1.36 V, respectively. But V

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

_{2}=−0.595 V. What is the absolute value of the current through R

_{1}?

- -a) 1.203E-01 A
- -b) 1.324E-01 A
- +c) 1.456E-01 A
- -d) 1.602E-01 A
- -e) 1.762E-01 A

- -a) 1.296E+01 s
- -b) 1.425E+01 s
- +c) 1.568E+01 s
- -d) 1.725E+01 s
- -e) 1.897E+01 s

_{1}=44.4 V, and ε

_{2}=16.8 V are oriented as shownin the circuit. The resistances are R

_{1}=4.58 kΩ and R

_{2}=1.2 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=8.43 mA and I

_{4}=1.46 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- +a) 6.970E+00 mA
- -b) 7.667E+00 mA
- -c) 8.434E+00 mA
- -d) 9.277E+00 mA
- -e) 1.020E+01 mA

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

QB153089888034

_{1}=13.6 V, and ε

_{2}=6.53 V are oriented as shownin the circuit. The resistances are R

_{1}=2.89 kΩ and R

_{2}=2.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.11 mA and I

_{4}=0.311 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- a) 7.264E-01 mA
- b) 7.990E-01 mA
- c) 8.789E-01 mA
- d) 9.668E-01 mA
- e) 1.063E+00 mA

- 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}= 2.67 Ω, R

_{2}= 1.78 Ω, and R

_{2}= 3.63 Ω. V

_{1}and V

_{3}are text 0.448 V and 2.29 V, respectively. But V

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

_{2}=−0.656 V. What is the absolute value of the current through R

_{1}?

- a) 9.287E-02 A
- b) 1.022E-01 A
- c) 1.124E-01 A
- d) 1.236E-01 A
- e) 1.360E-01 A

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

QB153089888034

_{1}=13.6 V, and ε

_{2}=6.53 V are oriented as shownin the circuit. The resistances are R

_{1}=2.89 kΩ and R

_{2}=2.12 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I

_{3}=1.11 mA and I

_{4}=0.311 mA enter and leave near R

_{2}, while the current I

_{5}exits near R

_{1}.What is the magnitude (absolute value) of I

_{5}?

- -a) 7.264E-01 mA
- +b) 7.990E-01 mA
- -c) 8.789E-01 mA
- -d) 9.668E-01 mA
- -e) 1.063E+00 mA

- -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}= 2.67 Ω, R

_{2}= 1.78 Ω, and R

_{2}= 3.63 Ω. V

_{1}and V

_{3}are text 0.448 V and 2.29 V, respectively. But V

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

_{2}=−0.656 V. What is the absolute value of the current through R

_{1}?

- -a) 9.287E-02 A
- -b) 1.022E-01 A
- -c) 1.124E-01 A
- +d) 1.236E-01 A
- -e) 1.360E-01 A

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

QB153089888034

1) An electron beam (m=9.1 x 10^{−31}kg, q=1.6 x 10^{−19}C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

- a) 5.072E+05 m/s
- b) 5.579E+05 m/s
- c) 6.137E+05 m/s
- d) 6.751E+05 m/s
- e) 7.426E+05 m/s

2) A cyclotron used to accelerate alpha particlesm=6.64 x 10^{−27}kg, q=3.2 x 10^{−19}C) has a radius of 0.157 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

- a) 8.608E-01 MeV
- b) 9.468E-01 MeV
- c) 1.042E+00 MeV
- d) 1.146E+00 MeV
- e) 1.260E+00 MeV

3) A circular current loop of radius 2.16 cm carries a current of 1.72 mA. What is the magnitude of the torque if the dipole is oriented at 52 ° to a uniform magnetic fied of 0.24 T?

- a) 3.582E-07 N m
- b) 3.940E-07 N m
- c) 4.334E-07 N m
- d) 4.768E-07 N m
- e) 5.245E-07 N m

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

QB153089888034

1) An electron beam (m=9.1 x 10^{−31}kg, q=1.6 x 10^{−19}C) enters a crossed-field velocity selector with magnetic and electric fields of 4.66 mT and 2.860E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

- -a) 5.072E+05 m/s
- -b) 5.579E+05 m/s
- +c) 6.137E+05 m/s
- -d) 6.751E+05 m/s
- -e) 7.426E+05 m/s

2) A cyclotron used to accelerate alpha particlesm=6.64 x 10^{−27}kg, q=3.2 x 10^{−19}C) has a radius of 0.157 m and a magneticfield of 1.03 T. What is their maximum kinetic energy?

- -a) 8.608E-01 MeV
- -b) 9.468E-01 MeV
- -c) 1.042E+00 MeV
- -d) 1.146E+00 MeV
- +e) 1.260E+00 MeV

3) A circular current loop of radius 2.16 cm carries a current of 1.72 mA. What is the magnitude of the torque if the dipole is oriented at 52 ° to a uniform magnetic fied of 0.24 T?

- -a) 3.582E-07 N m
- -b) 3.940E-07 N m
- -c) 4.334E-07 N m
- +d) 4.768E-07 N m
- -e) 5.245E-07 N m

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

QB153089888034

1) A cyclotron used to accelerate alpha particlesm=6.64 x 10^{−27}kg, q=3.2 x 10^{−19}C) has a radius of 0.409 m and a magneticfield of 1.27 T. What is their maximum kinetic energy?

- a) 8.881E+00 MeV
- b) 9.769E+00 MeV
- c) 1.075E+01 MeV
- d) 1.182E+01 MeV
- e) 1.300E+01 MeV

2) A circular current loop of radius 1.59 cm carries a current of 1.13 mA. What is the magnitude of the torque if the dipole is oriented at 41 ° to a uniform magnetic fied of 0.189 T?

- a) 1.113E-07 N m
- b) 1.224E-07 N m
- c) 1.347E-07 N m
- d) 1.481E-07 N m
- e) 1.629E-07 N m

3) An electron beam (m=9.1 x 10^{−31}kg, q=1.6 x 10^{−19}C) enters a crossed-field velocity selector with magnetic and electric fields of 9.23 mT and 6.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

- a) 4.982E+05 m/s
- b) 5.480E+05 m/s
- c) 6.028E+05 m/s
- d) 6.631E+05 m/s
- e) 7.294E+05 m/s

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

QB153089888034

1) A cyclotron used to accelerate alpha particlesm=6.64 x 10^{−27}kg, q=3.2 x 10^{−19}C) has a radius of 0.409 m and a magneticfield of 1.27 T. What is their maximum kinetic energy?

- -a) 8.881E+00 MeV
- -b) 9.769E+00 MeV
- -c) 1.075E+01 MeV
- -d) 1.182E+01 MeV
- +e) 1.300E+01 MeV

2) A circular current loop of radius 1.59 cm carries a current of 1.13 mA. What is the magnitude of the torque if the dipole is oriented at 41 ° to a uniform magnetic fied of 0.189 T?

- +a) 1.113E-07 N m
- -b) 1.224E-07 N m
- -c) 1.347E-07 N m
- -d) 1.481E-07 N m
- -e) 1.629E-07 N m

3) An electron beam (m=9.1 x 10^{−31}kg, q=1.6 x 10^{−19}C) enters a crossed-field velocity selector with magnetic and electric fields of 9.23 mT and 6.120E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

- -a) 4.982E+05 m/s
- -b) 5.480E+05 m/s
- -c) 6.028E+05 m/s
- +d) 6.631E+05 m/s
- -e) 7.294E+05 m/s

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

QB153089888034

1) An electron beam (m=9.1 x 10^{−31}kg, q=1.6 x 10^{−19}C) enters a crossed-field velocity selector with magnetic and electric fields of 4.15 mT and 4.440E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

- a) 1.070E+06 m/s
- b) 1.177E+06 m/s
- c) 1.295E+06 m/s
- d) 1.424E+06 m/s
- e) 1.566E+06 m/s

2) A cyclotron used to accelerate alpha particlesm=6.64 x 10^{−27}kg, q=3.2 x 10^{−19}C) has a radius of 0.448 m and a magneticfield of 0.812 T. What is their maximum kinetic energy?

- a) 5.798E+00 MeV
- b) 6.377E+00 MeV
- c) 7.015E+00 MeV
- d) 7.717E+00 MeV
- e) 8.488E+00 MeV

3) A circular current loop of radius 1.56 cm carries a current of 2.57 mA. What is the magnitude of the torque if the dipole is oriented at 38 ° to a uniform magnetic fied of 0.79 T?

- a) 7.898E-07 N m
- b) 8.688E-07 N m
- c) 9.557E-07 N m
- d) 1.051E-06 N m
- e) 1.156E-06 N m

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

QB153089888034

1) An electron beam (m=9.1 x 10^{−31}kg, q=1.6 x 10^{−19}C) enters a crossed-field velocity selector with magnetic and electric fields of 4.15 mT and 4.440E+03 N/C, respectively. What must the velocity of the electron beam be to transverse the crossed fields undeflected ?

- +a) 1.070E+06 m/s
- -b) 1.177E+06 m/s
- -c) 1.295E+06 m/s
- -d) 1.424E+06 m/s
- -e) 1.566E+06 m/s

2) A cyclotron used to accelerate alpha particlesm=6.64 x 10^{−27}kg, q=3.2 x 10^{−19}C) has a radius of 0.448 m and a magneticfield of 0.812 T. What is their maximum kinetic energy?

- -a) 5.798E+00 MeV
- +b) 6.377E+00 MeV
- -c) 7.015E+00 MeV
- -d) 7.717E+00 MeV
- -e) 8.488E+00 MeV

3) A circular current loop of radius 1.56 cm carries a current of 2.57 mA. What is the magnitude of the torque if the dipole is oriented at 38 ° to a uniform magnetic fied of 0.79 T?

- -a) 7.898E-07 N m
- -b) 8.688E-07 N m
- +c) 9.557E-07 N m
- -d) 1.051E-06 N m
- -e) 1.156E-06 N m

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

QB153089888034

_{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}=2.55 kA, I

_{2}=1.02 kA, and I

_{3}=1.81 kA, take the path and evalulate the line integral,

:

- 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

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

- a) 1.488E-05 T
- b) 1.637E-05 T
- c) 1.800E-05 T
- d) 1.981E-05 T
- e) 2.179E-05 T

3) A solenoid has 7.610E+04 turns wound around a cylinder of diameter 1.21 cm and length 9 m. The current through the coils is 0.696 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−1.52 cm to z=+2.04 cm

- a) 2.176E-04 T-m
- b) 2.393E-04 T-m
- c) 2.633E-04 T-m
- d) 2.896E-04 T-m
- e) 3.186E-04 T-m

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

QB153089888034

_{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}=2.55 kA, I

_{2}=1.02 kA, and I

_{3}=1.81 kA, take the path and evalulate the line integral,

:

- -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

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

- +a) 1.488E-05 T
- -b) 1.637E-05 T
- -c) 1.800E-05 T
- -d) 1.981E-05 T
- -e) 2.179E-05 T

3) A solenoid has 7.610E+04 turns wound around a cylinder of diameter 1.21 cm and length 9 m. The current through the coils is 0.696 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−1.52 cm to z=+2.04 cm

- -a) 2.176E-04 T-m
- -b) 2.393E-04 T-m
- +c) 2.633E-04 T-m
- -d) 2.896E-04 T-m
- -e) 3.186E-04 T-m

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

QB153089888034

1) A solenoid has 5.980E+04 turns wound around a cylinder of diameter 1.8 cm and length 17 m. The current through the coils is 0.933 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−3.68 cm to z=+1.29 cm

- a) 1.863E-04 T-m
- b) 2.050E-04 T-m
- c) 2.255E-04 T-m
- d) 2.480E-04 T-m
- e) 2.728E-04 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}=2.55 kA, I

_{2}=1.02 kA, and I

_{3}=1.81 kA, take the path and evalulate the line integral,

:

- 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

3) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 2.04 mm from the center of a wire of radius 5 mm if the current is 1A?

- a) 1.115E-05 T
- b) 1.226E-05 T
- c) 1.349E-05 T
- d) 1.484E-05 T
- e) 1.632E-05 T

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

QB153089888034

1) A solenoid has 5.980E+04 turns wound around a cylinder of diameter 1.8 cm and length 17 m. The current through the coils is 0.933 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−3.68 cm to z=+1.29 cm

- -a) 1.863E-04 T-m
- +b) 2.050E-04 T-m
- -c) 2.255E-04 T-m
- -d) 2.480E-04 T-m
- -e) 2.728E-04 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}=2.55 kA, I

_{2}=1.02 kA, and I

_{3}=1.81 kA, take the path and evalulate the line integral,

:

- -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

3) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 2.04 mm from the center of a wire of radius 5 mm if the current is 1A?

- -a) 1.115E-05 T
- -b) 1.226E-05 T
- -c) 1.349E-05 T
- -d) 1.484E-05 T
- +e) 1.632E-05 T

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

QB153089888034

1) A solenoid has 7.170E+04 turns wound around a cylinder of diameter 1.56 cm and length 9 m. The current through the coils is 0.391 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−2.73 cm to z=+2.56 cm

- a) 1.414E-04 T-m
- b) 1.556E-04 T-m
- c) 1.711E-04 T-m
- d) 1.882E-04 T-m
- e) 2.071E-04 T-m

2) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.18 mm from the center of a wire of radius 3 mm if the current is 1A?

- a) 1.791E-05 T
- b) 1.970E-05 T
- c) 2.167E-05 T
- d) 2.384E-05 T
- e) 2.622E-05 T

_{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}=2.32 kA, I

_{2}=2.0 kA, and I

_{3}=3.66 kA, take the path and evalulate the line integral,

:

- a) 1.724E-03 T-m
- b) 1.896E-03 T-m
- c) 2.086E-03 T-m
- d) 2.295E-03 T-m
- e) 2.524E-03 T-m

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

QB153089888034

1) A solenoid has 7.170E+04 turns wound around a cylinder of diameter 1.56 cm and length 9 m. The current through the coils is 0.391 A. Define the origin to be the center of the solenoid and neglect end effects as you calculate the line integral alongthe axis from z=−2.73 cm to z=+2.56 cm

- -a) 1.414E-04 T-m
- -b) 1.556E-04 T-m
- -c) 1.711E-04 T-m
- -d) 1.882E-04 T-m
- +e) 2.071E-04 T-m

2) Under most conditions the current is distributed uniformly over the cross section of the wire. What is the magnetic field 1.18 mm from the center of a wire of radius 3 mm if the current is 1A?

- -a) 1.791E-05 T
- -b) 1.970E-05 T
- -c) 2.167E-05 T
- -d) 2.384E-05 T
- +e) 2.622E-05 T

_{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}=2.32 kA, I

_{2}=2.0 kA, and I

_{3}=3.66 kA, take the path and evalulate the line integral,

:

- -a) 1.724E-03 T-m
- -b) 1.896E-03 T-m
- +c) 2.086E-03 T-m
- -d) 2.295E-03 T-m
- -e) 2.524E-03 T-m

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

QB153089888034

1) The current through the windings of a solenoid with n= 2.980E+03 turns per meter is changing at a rate dI/dt=9 A/s. The solenoid is 88 cm long and has a cross-sectional diameter of 2.69 cm. A small coil consisting of N=28turns wraped in a circle of diameter 1.64 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) 1.498E-04 V
- b) 1.647E-04 V
- c) 1.812E-04 V
- d) 1.993E-04 V
- e) 2.193E-04 V

2) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.655 m. The magnetic field is spatially uniform but decays in time according to , where 9.62 s. What is the current in the coil if the impedance of the coil is 48.9 Ω?

- a) 7.890E-01 A
- b) 8.679E-01 A
- c) 9.547E-01 A
- d) 1.050E+00 A
- e) 1.155E+00 A

3) A square coil has sides that are L= 0.308 m long and is tightly wound with N=969 turns of wire. The resistance of the coil is R=8.64 Ω. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0498 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

- a) 4.817E-01 A
- b) 5.298E-01 A
- c) 5.828E-01 A
- d) 6.411E-01 A
- e) 7.052E-01 A

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

QB153089888034

1) The current through the windings of a solenoid with n= 2.980E+03 turns per meter is changing at a rate dI/dt=9 A/s. The solenoid is 88 cm long and has a cross-sectional diameter of 2.69 cm. A small coil consisting of N=28turns wraped in a circle of diameter 1.64 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) 1.498E-04 V
- -b) 1.647E-04 V
- -c) 1.812E-04 V
- +d) 1.993E-04 V
- -e) 2.193E-04 V

2) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.655 m. The magnetic field is spatially uniform but decays in time according to , where 9.62 s. What is the current in the coil if the impedance of the coil is 48.9 Ω?

- +a) 7.890E-01 A
- -b) 8.679E-01 A
- -c) 9.547E-01 A
- -d) 1.050E+00 A
- -e) 1.155E+00 A

3) A square coil has sides that are L= 0.308 m long and is tightly wound with N=969 turns of wire. The resistance of the coil is R=8.64 Ω. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0498 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

- -a) 4.817E-01 A
- +b) 5.298E-01 A
- -c) 5.828E-01 A
- -d) 6.411E-01 A
- -e) 7.052E-01 A

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

QB153089888034

1) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.549 m. The magnetic field is spatially uniform but decays in time according to , where 7.0 s. What is the current in the coil if the impedance of the coil is 46.7 Ω?

- a) 2.032E-01 A
- b) 2.235E-01 A
- c) 2.458E-01 A
- d) 2.704E-01 A
- e) 2.975E-01 A

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

- a) 1.215E-04 V
- b) 1.337E-04 V
- c) 1.470E-04 V
- d) 1.617E-04 V
- e) 1.779E-04 V

3) A square coil has sides that are L= 0.561 m long and is tightly wound with N=930 turns of wire. The resistance of the coil is R=5.08 Ω. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0548 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

- a) 2.609E+00 A
- b) 2.870E+00 A
- c) 3.157E+00 A
- d) 3.473E+00 A
- e) 3.820E+00 A

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

QB153089888034

1) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.549 m. The magnetic field is spatially uniform but decays in time according to , where 7.0 s. What is the current in the coil if the impedance of the coil is 46.7 Ω?

- -a) 2.032E-01 A
- -b) 2.235E-01 A
- -c) 2.458E-01 A
- -d) 2.704E-01 A
- +e) 2.975E-01 A

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

- -a) 1.215E-04 V
- -b) 1.337E-04 V
- -c) 1.470E-04 V
- -d) 1.617E-04 V
- +e) 1.779E-04 V

3) A square coil has sides that are L= 0.561 m long and is tightly wound with N=930 turns of wire. The resistance of the coil is R=5.08 Ω. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0548 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

- -a) 2.609E+00 A
- -b) 2.870E+00 A
- +c) 3.157E+00 A
- -d) 3.473E+00 A
- -e) 3.820E+00 A

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

QB153089888034

1) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.8 m. The magnetic field is spatially uniform but decays in time according to , where 8.91 s. What is the current in the coil if the impedance of the coil is 61.7 Ω?

- a) 5.369E-01 A
- b) 5.906E-01 A
- c) 6.496E-01 A
- d) 7.146E-01 A
- e) 7.860E-01 A

2) A square coil has sides that are L= 0.219 m long and is tightly wound with N=508 turns of wire. The resistance of the coil is R=8.42 Ω. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0619 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

- a) 1.791E-01 A
- b) 1.970E-01 A
- c) 2.167E-01 A
- d) 2.384E-01 A
- e) 2.622E-01 A

3) The current through the windings of a solenoid with n= 2.970E+03 turns per meter is changing at a rate dI/dt=15 A/s. The solenoid is 89 cm long and has a cross-sectional diameter of 3.48 cm. A small coil consisting of N=28turns wraped in a circle of diameter 1.5 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) 2.081E-04 V
- b) 2.289E-04 V
- c) 2.518E-04 V
- d) 2.770E-04 V
- e) 3.047E-04 V

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

QB153089888034

1) A time dependent magnetic field is directed perpendicular to the plane of a circular coil with a radius of 0.8 m. The magnetic field is spatially uniform but decays in time according to , where 8.91 s. What is the current in the coil if the impedance of the coil is 61.7 Ω?

- -a) 5.369E-01 A
- -b) 5.906E-01 A
- -c) 6.496E-01 A
- -d) 7.146E-01 A
- +e) 7.860E-01 A

2) A square coil has sides that are L= 0.219 m long and is tightly wound with N=508 turns of wire. The resistance of the coil is R=8.42 Ω. The coil is placed in a spacially uniform magnetic field that is directed perpendicular to the face of the coil and whose magnitude is increasing at a rate dB/dt=0.0619 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

- +a) 1.791E-01 A
- -b) 1.970E-01 A
- -c) 2.167E-01 A
- -d) 2.384E-01 A
- -e) 2.622E-01 A

3) The current through the windings of a solenoid with n= 2.970E+03 turns per meter is changing at a rate dI/dt=15 A/s. The solenoid is 89 cm long and has a cross-sectional diameter of 3.48 cm. A small coil consisting of N=28turns wraped in a circle of diameter 1.5 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) 2.081E-04 V
- -b) 2.289E-04 V
- -c) 2.518E-04 V
- +d) 2.770E-04 V
- -e) 3.047E-04 V

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

QB153089888034

1) In an LC circuit, the self-inductance is 0.0262 H and the capacitance is 4.540E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 4.700E-05 C. How long does it take for the capacitor to become completely discharged?

- a) 4.070E-04 s
- b) 4.477E-04 s
- c) 4.925E-04 s
- d) 5.417E-04 s
- e) 5.959E-04 s

2) A washer has an inner diameter of 2.38 cm and an outer diamter of 4.83 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- a) 1.118E+00 cm
^{3} - b) 1.229E+00 cm
^{3} - c) 1.352E+00 cm
^{3} - d) 1.487E+00 cm
^{3} - e) 1.636E+00 cm
^{3}

- a) 5.791E-02 V
- b) 6.370E-02 V
- c) 7.007E-02 V
- d) 7.708E-02 V
- e) 8.478E-02 V

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

QB153089888034

1) In an LC circuit, the self-inductance is 0.0262 H and the capacitance is 4.540E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 4.700E-05 C. How long does it take for the capacitor to become completely discharged?

- -a) 4.070E-04 s
- -b) 4.477E-04 s
- -c) 4.925E-04 s
- +d) 5.417E-04 s
- -e) 5.959E-04 s

2) A washer has an inner diameter of 2.38 cm and an outer diamter of 4.83 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- -a) 1.118E+00 cm
^{3} - +b) 1.229E+00 cm
^{3} - -c) 1.352E+00 cm
^{3} - -d) 1.487E+00 cm
^{3} - -e) 1.636E+00 cm
^{3}

- -a) 5.791E-02 V
- +b) 6.370E-02 V
- -c) 7.007E-02 V
- -d) 7.708E-02 V
- -e) 8.478E-02 V

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

QB153089888034

- 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) A washer has an inner diameter of 2.31 cm and an outer diamter of 4.19 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- a) 1.071E+00 cm
^{3} - b) 1.178E+00 cm
^{3} - c) 1.296E+00 cm
^{3} - d) 1.425E+00 cm
^{3} - e) 1.568E+00 cm
^{3}

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

- a) 8.339E-04 s
- b) 9.173E-04 s
- c) 1.009E-03 s
- d) 1.110E-03 s
- e) 1.221E-03 s

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

QB153089888034

- -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) A washer has an inner diameter of 2.31 cm and an outer diamter of 4.19 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- +a) 1.071E+00 cm
^{3} - -b) 1.178E+00 cm
^{3} - -c) 1.296E+00 cm
^{3} - -d) 1.425E+00 cm
^{3} - -e) 1.568E+00 cm
^{3}

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

- -a) 8.339E-04 s
- +b) 9.173E-04 s
- -c) 1.009E-03 s
- -d) 1.110E-03 s
- -e) 1.221E-03 s

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

QB153089888034

1) A washer has an inner diameter of 2.21 cm and an outer diamter of 4.5 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- a) 1.325E+00 cm
^{3} - b) 1.457E+00 cm
^{3} - c) 1.603E+00 cm
^{3} - d) 1.763E+00 cm
^{3} - e) 1.939E+00 cm
^{3}

- a) 6.604E-02 V
- b) 7.264E-02 V
- c) 7.990E-02 V
- d) 8.789E-02 V
- e) 9.668E-02 V

3) In an LC circuit, the self-inductance is 0.0399 H and the capacitance is 8.450E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 6.480E-05 C. How long does it take for the capacitor to become completely discharged?

- a) 6.230E-04 s
- b) 6.853E-04 s
- c) 7.538E-04 s
- d) 8.292E-04 s
- e) 9.121E-04 s

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

QB153089888034

1) A washer has an inner diameter of 2.21 cm and an outer diamter of 4.5 cm. The thickness is where is measured in cm, , and . What is the volume of the washer?

- -a) 1.325E+00 cm
^{3} - +b) 1.457E+00 cm
^{3} - -c) 1.603E+00 cm
^{3} - -d) 1.763E+00 cm
^{3} - -e) 1.939E+00 cm
^{3}

- +a) 6.604E-02 V
- -b) 7.264E-02 V
- -c) 7.990E-02 V
- -d) 8.789E-02 V
- -e) 9.668E-02 V

3) In an LC circuit, the self-inductance is 0.0399 H and the capacitance is 8.450E-06 F. At t=0 all the energy is stored in the capacitor, which has a charge of 6.480E-05 C. How long does it take for the capacitor to become completely discharged?

- -a) 6.230E-04 s
- -b) 6.853E-04 s
- -c) 7.538E-04 s
- -d) 8.292E-04 s
- +e) 9.121E-04 s

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

QB153089888034

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

- a) 1.888E+02 A
- b) 2.077E+02 A
- c) 2.285E+02 A
- d) 2.513E+02 A
- e) 2.764E+02 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.27 Ω, L= 4.30E-03H , and C=2.20E-06 F, respectively.

- a) Q = 1.238E+02
- b) Q = 1.424E+02
- c) Q = 1.637E+02
- d) Q = 1.883E+02
- e) Q = 2.165E+02

3) 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

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

QB153089888034

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

- -a) 1.888E+02 A
- +b) 2.077E+02 A
- -c) 2.285E+02 A
- -d) 2.513E+02 A
- -e) 2.764E+02 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=5 V. The resistance, inductance, and capacitance are R =0.27 Ω, L= 4.30E-03H , and C=2.20E-06 F, respectively.

- -a) Q = 1.238E+02
- -b) Q = 1.424E+02
- +c) Q = 1.637E+02
- -d) Q = 1.883E+02
- -e) Q = 2.165E+02

3) 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

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

QB153089888034

1) An ac generator produces an emf of amplitude 69 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 57 mF inductor?

- a) 1.070E+00 A
- b) 1.177E+00 A
- c) 1.295E+00 A
- d) 1.425E+00 A
- e) 1.567E+00 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=3 V. The resistance, inductance, and capacitance are R =0.14 Ω, L= 5.20E-03H , and C=2.90E-06 F, respectively.

- a) Q = 2.287E+02
- b) Q = 2.630E+02
- c) Q = 3.025E+02
- d) Q = 3.478E+02
- e) Q = 4.000E+02

3) A step-down transformer steps 7 kV down to 190 V. The high-voltage input is provided by a 240 Ω power line that carries 5 A of currentWhat is the output current (at the 190 V side ?)

- a) 1.675E+02 A
- b) 1.842E+02 A
- c) 2.026E+02 A
- d) 2.229E+02 A
- e) 2.452E+02 A

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

QB153089888034

1) An ac generator produces an emf of amplitude 69 V at a frequency of 180 Hz. What is the maximum amplitude of the current if the generator is connected to a 57 mF inductor?

- +a) 1.070E+00 A
- -b) 1.177E+00 A
- -c) 1.295E+00 A
- -d) 1.425E+00 A
- -e) 1.567E+00 A

2) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=3 V. The resistance, inductance, and capacitance are R =0.14 Ω, L= 5.20E-03H , and C=2.90E-06 F, respectively.

- -a) Q = 2.287E+02
- -b) Q = 2.630E+02
- +c) Q = 3.025E+02
- -d) Q = 3.478E+02
- -e) Q = 4.000E+02

3) A step-down transformer steps 7 kV down to 190 V. The high-voltage input is provided by a 240 Ω power line that carries 5 A of currentWhat is the output current (at the 190 V side ?)

- -a) 1.675E+02 A
- +b) 1.842E+02 A
- -c) 2.026E+02 A
- -d) 2.229E+02 A
- -e) 2.452E+02 A

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

QB153089888034

1) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=3 V. The resistance, inductance, and capacitance are R =0.21 Ω, L= 4.70E-03H , and C=3.70E-06 F, respectively.

- a) Q = 1.476E+02
- b) Q = 1.697E+02
- c) Q = 1.952E+02
- d) Q = 2.245E+02
- e) Q = 2.581E+02

2) An ac generator produces an emf of amplitude 5 V at a frequency of 52 Hz. What is the maximum amplitude of the current if the generator is connected to a 49 mF inductor?

- a) 2.839E-01 A
- b) 3.123E-01 A
- c) 3.435E-01 A
- d) 3.779E-01 A
- e) 4.157E-01 A

3) A step-down transformer steps 12 kV down to 230 V. The high-voltage input is provided by a 140 Ω power line that carries 5 A of currentWhat is the output current (at the 230 V side ?)

- a) 2.156E+02 A
- b) 2.372E+02 A
- c) 2.609E+02 A
- d) 2.870E+02 A
- e) 3.157E+02 A

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

QB153089888034

1) The quality factor Q is a dimensionless paramater involving the relative values of the magnitudes of the at three impedances (R, X_{L}, X_{C}). Since Q is calculatedat resonance, X_{L}, X_{C} and only twoimpedances are involved, Q=≡ω_{0}L/R is definedso that Q is large if the resistance is low. Calculate the Q of an LRC series driven at resonance by an applied voltage of of V=V_{0}sin(ωt), where V_{0}=3 V. The resistance, inductance, and capacitance are R =0.21 Ω, L= 4.70E-03H , and C=3.70E-06 F, respectively.

- -a) Q = 1.476E+02
- +b) Q = 1.697E+02
- -c) Q = 1.952E+02
- -d) Q = 2.245E+02
- -e) Q = 2.581E+02

2) An ac generator produces an emf of amplitude 5 V at a frequency of 52 Hz. What is the maximum amplitude of the current if the generator is connected to a 49 mF inductor?

- -a) 2.839E-01 A
- +b) 3.123E-01 A
- -c) 3.435E-01 A
- -d) 3.779E-01 A
- -e) 4.157E-01 A

3) A step-down transformer steps 12 kV down to 230 V. The high-voltage input is provided by a 140 Ω power line that carries 5 A of currentWhat is the output current (at the 230 V side ?)

- -a) 2.156E+02 A
- -b) 2.372E+02 A
- +c) 2.609E+02 A
- -d) 2.870E+02 A
- -e) 3.157E+02 A

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

QB153089888034

^{2}and separation d=7.80E-03 m is connected via a swith to a 17 Ω resistor and a battery of voltage V

_{0}=94 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=2.20E-04?

- a) 8.809E-02 A
- b) 9.690E-02 A
- c) 1.066E-01 A
- d) 1.173E-01 A
- e) 1.290E-01 A

2) A 59 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 84 kW?

- a) 9.780E+01 km
- b) 1.076E+02 km
- c) 1.183E+02 km
- d) 1.302E+02 km
- e) 1.432E+02 km

^{2}and separation d=8.60E-03 m is connected via a swith to a 28 Ω resistor and a battery of voltage V

_{0}=45 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=1.30E-04?

- a) 3.223E+03 V/m
- b) 3.546E+03 V/m
- c) 3.900E+03 V/m
- d) 4.290E+03 V/m
- e) 4.719E+03 V/m

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

QB153089888034

^{2}and separation d=7.80E-03 m is connected via a swith to a 17 Ω resistor and a battery of voltage V

_{0}=94 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=2.20E-04?

- -a) 8.809E-02 A
- +b) 9.690E-02 A
- -c) 1.066E-01 A
- -d) 1.173E-01 A
- -e) 1.290E-01 A

2) A 59 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 84 kW?

- -a) 9.780E+01 km
- -b) 1.076E+02 km
- -c) 1.183E+02 km
- -d) 1.302E+02 km
- +e) 1.432E+02 km

^{2}and separation d=8.60E-03 m is connected via a swith to a 28 Ω resistor and a battery of voltage V

_{0}=45 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=1.30E-04?

- -a) 3.223E+03 V/m
- -b) 3.546E+03 V/m
- -c) 3.900E+03 V/m
- -d) 4.290E+03 V/m
- +e) 4.719E+03 V/m

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

QB153089888034

^{2}and separation d=5.00E-03 m is connected via a swith to a 27 Ω resistor and a battery of voltage V

_{0}=80 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=1.60E-04?

- a) 9.524E-01 A
- b) 1.048E+00 A
- c) 1.152E+00 A
- d) 1.268E+00 A
- e) 1.394E+00 A

^{2}and separation d=8.70E-03 m is connected via a swith to a 98 Ω resistor and a battery of voltage V

_{0}=67 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=1.80E-03?

- a) 5.050E+03 V/m
- b) 5.555E+03 V/m
- c) 6.111E+03 V/m
- d) 6.722E+03 V/m
- e) 7.394E+03 V/m

3) A 46 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 78 kW?

- a) 1.563E+02 km
- b) 1.719E+02 km
- c) 1.891E+02 km
- d) 2.080E+02 km
- e) 2.288E+02 km

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

QB153089888034

^{2}and separation d=5.00E-03 m is connected via a swith to a 27 Ω resistor and a battery of voltage V

_{0}=80 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=1.60E-04?

- -a) 9.524E-01 A
- +b) 1.048E+00 A
- -c) 1.152E+00 A
- -d) 1.268E+00 A
- -e) 1.394E+00 A

^{2}and separation d=8.70E-03 m is connected via a swith to a 98 Ω resistor and a battery of voltage V

_{0}=67 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=1.80E-03?

- -a) 5.050E+03 V/m
- -b) 5.555E+03 V/m
- -c) 6.111E+03 V/m
- -d) 6.722E+03 V/m
- +e) 7.394E+03 V/m

3) A 46 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 78 kW?

- +a) 1.563E+02 km
- -b) 1.719E+02 km
- -c) 1.891E+02 km
- -d) 2.080E+02 km
- -e) 2.288E+02 km

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

QB153089888034

^{2}and separation d=6.30E-03 m is connected via a swith to a 85 Ω resistor and a battery of voltage V

_{0}=22 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=1.50E-03?

- a) 2.058E-03 A
- b) 2.263E-03 A
- c) 2.490E-03 A
- d) 2.739E-03 A
- e) 3.013E-03 A

^{2}and separation d=3.10E-03 m is connected via a swith to a 68 Ω resistor and a battery of voltage V

_{0}=73 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=8.50E-04?

- a) 1.579E+04 V/m
- b) 1.737E+04 V/m
- c) 1.911E+04 V/m
- d) 2.102E+04 V/m
- e) 2.312E+04 V/m

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

- a) 1.405E+02 km
- b) 1.546E+02 km
- c) 1.701E+02 km
- d) 1.871E+02 km
- e) 2.058E+02 km

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

QB153089888034

^{2}and separation d=6.30E-03 m is connected via a swith to a 85 Ω resistor and a battery of voltage V

_{0}=22 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=1.50E-03?

- -a) 2.058E-03 A
- -b) 2.263E-03 A
- +c) 2.490E-03 A
- -d) 2.739E-03 A
- -e) 3.013E-03 A

^{2}and separation d=3.10E-03 m is connected via a swith to a 68 Ω resistor and a battery of voltage V

_{0}=73 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the electric field at time t=8.50E-04?

- -a) 1.579E+04 V/m
- -b) 1.737E+04 V/m
- -c) 1.911E+04 V/m
- +d) 2.102E+04 V/m
- -e) 2.312E+04 V/m

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

- -a) 1.405E+02 km
- +b) 1.546E+02 km
- -c) 1.701E+02 km
- -d) 1.871E+02 km
- -e) 2.058E+02 km