# Quizbank/Electricity and Magnetism (calculus based)/QB153099154202

QB153099154202

### QB:Ch 5:V0

QB153099154202

1)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.99 m (on axis) away from the loop's center?
a) 2.429E+09 N/C2
b) 2.672E+09 N/C2
c) 2.939E+09 N/C2
d) 3.233E+09 N/C2
e) 3.556E+09 N/C2
2)
${\displaystyle E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx}$
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.4 m. Evaluate ${\displaystyle f(x,y)}$ at x=1.1 m if a=0.69 m, b=2.2 m. The total charge on the rod is 6 nC.
a) 3.161E+00 V/m2
b) 3.477E+00 V/m2
c) 3.825E+00 V/m2
d) 4.208E+00 V/m2
e) 4.628E+00 V/m2
3)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=6\times 10^{-7}{\text{m}}}$. What is the magnitude of the net force on ${\displaystyle q_{2}}$ if ${\displaystyle q_{1}=2e}$, ${\displaystyle q_{2}=-8e}$, and ${\displaystyle q_{3}=5e}$?
a) 8.259E-15 N
b) 9.085E-15 N
c) 9.993E-15 N
d) 1.099E-14 N
e) 1.209E-14 N

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

QB153099154202

1)
A ring is uniformly charged with a net charge of 2 nC. The radius of the ring is R=1.6 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.99 m (on axis) away from the loop's center?
-a) 2.429E+09 N/C2
+b) 2.672E+09 N/C2
-c) 2.939E+09 N/C2
-d) 3.233E+09 N/C2
-e) 3.556E+09 N/C2
2)
${\displaystyle E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx}$
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.4 m. Evaluate ${\displaystyle f(x,y)}$ at x=1.1 m if a=0.69 m, b=2.2 m. The total charge on the rod is 6 nC.
-a) 3.161E+00 V/m2
-b) 3.477E+00 V/m2
-c) 3.825E+00 V/m2
-d) 4.208E+00 V/m2
+e) 4.628E+00 V/m2
3)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=6\times 10^{-7}{\text{m}}}$. What is the magnitude of the net force on ${\displaystyle q_{2}}$ if ${\displaystyle q_{1}=2e}$, ${\displaystyle q_{2}=-8e}$, and ${\displaystyle q_{3}=5e}$?
-a) 8.259E-15 N
-b) 9.085E-15 N
-c) 9.993E-15 N
-d) 1.099E-14 N
+e) 1.209E-14 N

### QB:Ch 5:V1

QB153099154202

1)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=6\times 10^{-7}{\text{m}}}$. What is the magnitude of the net force on ${\displaystyle q_{2}}$ if ${\displaystyle q_{1}=1e}$, ${\displaystyle q_{2}=-8e}$, and ${\displaystyle q_{3}=2e}$?
a) 5.732E-15 N
b) 6.305E-15 N
c) 6.936E-15 N
d) 7.629E-15 N
e) 8.392E-15 N
2)
A ring is uniformly charged with a net charge of 6 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.4 m (on axis) away from the loop's center?
a) 2.013E+09 N/C2
b) 2.214E+09 N/C2
c) 2.435E+09 N/C2
d) 2.679E+09 N/C2
e) 2.947E+09 N/C2
3)
${\displaystyle E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx}$
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.7 m. Evaluate ${\displaystyle f(x,y)}$ 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/m2
b) 7.485E+00 V/m2
c) 8.233E+00 V/m2
d) 9.056E+00 V/m2
e) 9.962E+00 V/m2

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

QB153099154202

1)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=6\times 10^{-7}{\text{m}}}$. What is the magnitude of the net force on ${\displaystyle q_{2}}$ if ${\displaystyle q_{1}=1e}$, ${\displaystyle q_{2}=-8e}$, and ${\displaystyle q_{3}=2e}$?
+a) 5.732E-15 N
-b) 6.305E-15 N
-c) 6.936E-15 N
-d) 7.629E-15 N
-e) 8.392E-15 N
2)
A ring is uniformly charged with a net charge of 6 nC. The radius of the ring is R=1.9 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.4 m (on axis) away from the loop's center?
-a) 2.013E+09 N/C2
-b) 2.214E+09 N/C2
-c) 2.435E+09 N/C2
-d) 2.679E+09 N/C2
+e) 2.947E+09 N/C2
3)
${\displaystyle E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx}$
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.7 m. Evaluate ${\displaystyle f(x,y)}$ 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/m2
+b) 7.485E+00 V/m2
-c) 8.233E+00 V/m2
-d) 9.056E+00 V/m2
-e) 9.962E+00 V/m2

### QB:Ch 5:V2

QB153099154202

1)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=4\times 10^{-7}{\text{m}}}$. What is the magnitude of the net force on ${\displaystyle q_{2}}$ if ${\displaystyle q_{1}=2e}$, ${\displaystyle q_{2}=-8e}$, and ${\displaystyle q_{3}=5e}$?
a) 2.248E-14 N
b) 2.473E-14 N
c) 2.721E-14 N
d) 2.993E-14 N
e) 3.292E-14 N
2)
${\displaystyle E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx}$
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.3 m. Evaluate ${\displaystyle f(x,y)}$ at x=0.83 m if a=0.82 m, b=1.3 m. The total charge on the rod is 7 nC.
a) 8.690E+00 V/m2
b) 9.559E+00 V/m2
c) 1.051E+01 V/m2
d) 1.157E+01 V/m2
e) 1.272E+01 V/m2
3)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
a) 1.202E+09 N/C2
b) 1.322E+09 N/C2
c) 1.454E+09 N/C2
d) 1.599E+09 N/C2
e) 1.759E+09 N/C2

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

QB153099154202

1)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=4\times 10^{-7}{\text{m}}}$. What is the magnitude of the net force on ${\displaystyle q_{2}}$ if ${\displaystyle q_{1}=2e}$, ${\displaystyle q_{2}=-8e}$, and ${\displaystyle q_{3}=5e}$?
-a) 2.248E-14 N
-b) 2.473E-14 N
+c) 2.721E-14 N
-d) 2.993E-14 N
-e) 3.292E-14 N
2)
${\displaystyle E_{z}(x=0,z)=\int _{-a}^{b}f(x,z)dx}$
is an integral that calculates the z-component of the electric field at point P situated above the x-axis where a charged rod of length (a+b) is located. The distance between point P and the x-axis is z=1.3 m. Evaluate ${\displaystyle f(x,y)}$ at x=0.83 m if a=0.82 m, b=1.3 m. The total charge on the rod is 7 nC.
-a) 8.690E+00 V/m2
-b) 9.559E+00 V/m2
+c) 1.051E+01 V/m2
-d) 1.157E+01 V/m2
-e) 1.272E+01 V/m2
3)
A ring is uniformly charged with a net charge of 3 nC. The radius of the ring is R=1.7 m, with its center at the origin and oriented normal to the z axis as shown. what is the magnitude of the electric field at a distance z=0.34 m (on axis) away from the loop's center?
-a) 1.202E+09 N/C2
-b) 1.322E+09 N/C2
-c) 1.454E+09 N/C2
-d) 1.599E+09 N/C2
+e) 1.759E+09 N/C2

### QB:Ch 6:V0

QB153099154202

1)
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.6 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.9 m, z=z0=1.9 m, and z=z1=5.0 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 12.0m2 ,and those in the zx plane have area 8.1m2. An electric field has the xyz components (0, 8.1, 6.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 6.529E+01 N·m2/C
b) 7.181E+01 N·m2/C
c) 7.900E+01 N·m2/C
d) 8.690E+01 N·m2/C
e) 9.559E+01 N·m2/C
2)
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.4 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=5.8 m, z=z0=1.3 m, and z=z1=4.4 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 9.8m2 ,and those in the zx plane have area 7.4m2. An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 46° 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) 8.457E+01 N·m2/C
b) 9.303E+01 N·m2/C
c) 1.023E+02 N·m2/C
d) 1.126E+02 N·m2/C
e) 1.238E+02 N·m2/C

3) A non-conducting sphere of radius R=3.1 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.2 (r≤R) where a=2 nC·m-1.8. What is the magnitude of the electric field at a distance of 2.7 m from the center?

a) 4.782E+02 N/C
b) 5.260E+02 N/C
c) 5.787E+02 N/C
d) 6.365E+02 N/C
e) 7.002E+02 N/C

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

QB153099154202

1)
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.6 m. The other four surfaces are rectangles in y=y0=1.2 m, y=y1=5.9 m, z=z0=1.9 m, and z=z1=5.0 m. The surfaces in the yz plane each have area 15.0m2. Those in the xy plane have area 12.0m2 ,and those in the zx plane have area 8.1m2. An electric field has the xyz components (0, 8.1, 6.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
+a) 6.529E+01 N·m2/C
-b) 7.181E+01 N·m2/C
-c) 7.900E+01 N·m2/C
-d) 8.690E+01 N·m2/C
-e) 9.559E+01 N·m2/C
2)
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.4 m. The other four surfaces are rectangles in y=y0=1.7 m, y=y1=5.8 m, z=z0=1.3 m, and z=z1=4.4 m. The surfaces in the yz plane each have area 13.0m2. Those in the xy plane have area 9.8m2 ,and those in the zx plane have area 7.4m2. An electric field of magnitude 18 N/C has components in the y and z directions and is directed at 46° 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) 8.457E+01 N·m2/C
+b) 9.303E+01 N·m2/C
-c) 1.023E+02 N·m2/C
-d) 1.126E+02 N·m2/C
-e) 1.238E+02 N·m2/C

3) A non-conducting sphere of radius R=3.1 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.2 (r≤R) where a=2 nC·m-1.8. What is the magnitude of the electric field at a distance of 2.7 m from the center?

+a) 4.782E+02 N/C
-b) 5.260E+02 N/C
-c) 5.787E+02 N/C
-d) 6.365E+02 N/C
-e) 7.002E+02 N/C

### QB:Ch 6:V1

QB153099154202

1)
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.0 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=4.7 m, z=z0=1.2 m, and z=z1=4.1 m. The surfaces in the yz plane each have area 9.6m2. Those in the xy plane have area 6.6m2 ,and those in the zx plane have area 5.8m2. An electric field has the xyz components (0, 8.4, 5.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.328E+01 N·m2/C
b) 3.660E+01 N·m2/C
c) 4.026E+01 N·m2/C
d) 4.429E+01 N·m2/C
e) 4.872E+01 N·m2/C

2) A non-conducting sphere of radius R=3.7 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.4 (r≤R) where a=2 nC·m-1.6. What is the magnitude of the electric field at a distance of 3.1 m from the center?

a) 6.411E+02 N/C
b) 7.052E+02 N/C
c) 7.757E+02 N/C
d) 8.533E+02 N/C
e) 9.386E+02 N/C
3)
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.7 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.7 m, z=z0=1.4 m, and z=z1=4.8 m. The surfaces in the yz plane each have area 14.0m2. Those in the xy plane have area 7.1m2 ,and those in the zx plane have area 5.8m2. An electric field of magnitude 19 N/C has components in the y and z directions and is directed at 33° 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) 6.920E+01 N·m2/C
b) 7.612E+01 N·m2/C
c) 8.373E+01 N·m2/C
d) 9.210E+01 N·m2/C
e) 1.013E+02 N·m2/C

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

QB153099154202

1)
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=2.0 m. The other four surfaces are rectangles in y=y0=1.4 m, y=y1=4.7 m, z=z0=1.2 m, and z=z1=4.1 m. The surfaces in the yz plane each have area 9.6m2. Those in the xy plane have area 6.6m2 ,and those in the zx plane have area 5.8m2. An electric field has the xyz components (0, 8.4, 5.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
-a) 3.328E+01 N·m2/C
-b) 3.660E+01 N·m2/C
-c) 4.026E+01 N·m2/C
-d) 4.429E+01 N·m2/C
+e) 4.872E+01 N·m2/C

2) A non-conducting sphere of radius R=3.7 m has a non-uniform charge density that varies with the distnce from its center as given by ρ(r)=ar1.4 (r≤R) where a=2 nC·m-1.6. What is the magnitude of the electric field at a distance of 3.1 m from the center?

-a) 6.411E+02 N/C
-b) 7.052E+02 N/C
+c) 7.757E+02 N/C
-d) 8.533E+02 N/C
-e) 9.386E+02 N/C
3)
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.7 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.7 m, z=z0=1.4 m, and z=z1=4.8 m. The surfaces in the yz plane each have area 14.0m2. Those in the xy plane have area 7.1m2 ,and those in the zx plane have area 5.8m2. An electric field of magnitude 19 N/C has components in the y and z directions and is directed at 33° 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) 6.920E+01 N·m2/C
-b) 7.612E+01 N·m2/C
-c) 8.373E+01 N·m2/C
+d) 9.210E+01 N·m2/C
-e) 1.013E+02 N·m2/C

### QB:Ch 6:V2

QB153099154202

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

a) 2.274E+02 N/C
b) 2.501E+02 N/C
c) 2.751E+02 N/C
d) 3.026E+02 N/C
e) 3.329E+02 N/C
2)
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.1 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.0 m, z=z0=1.8 m, and z=z1=5.7 m. The surfaces in the yz plane each have area 14.0m2. Those in the xy plane have area 3.9m2 ,and those in the zx plane have area 4.3m2. 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·m2/C
b) 4.973E+01 N·m2/C
c) 5.470E+01 N·m2/C
d) 6.017E+01 N·m2/C
e) 6.619E+01 N·m2/C
3)
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.5 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=4.3 m, z=z0=1.3 m, and z=z1=5.1 m. The surfaces in the yz plane each have area 10.0m2. Those in the xy plane have area 4.0m2 ,and those in the zx plane have area 5.7m2. An electric field has the xyz components (0, 5.7, 7.5) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 3.249E+01 N·m2/C
b) 3.574E+01 N·m2/C
c) 3.931E+01 N·m2/C
d) 4.324E+01 N·m2/C
e) 4.757E+01 N·m2/C

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

QB153099154202

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

-a) 2.274E+02 N/C
-b) 2.501E+02 N/C
+c) 2.751E+02 N/C
-d) 3.026E+02 N/C
-e) 3.329E+02 N/C
2)
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.1 m. The other four surfaces are rectangles in y=y0=1.5 m, y=y1=5.0 m, z=z0=1.8 m, and z=z1=5.7 m. The surfaces in the yz plane each have area 14.0m2. Those in the xy plane have area 3.9m2 ,and those in the zx plane have area 4.3m2. 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·m2/C
-b) 4.973E+01 N·m2/C
-c) 5.470E+01 N·m2/C
-d) 6.017E+01 N·m2/C
+e) 6.619E+01 N·m2/C
3)
Each surface of the rectangular box shown is aligned with the xyz coordinate system. Two surfaces occupy identical rectangles in the planes x=0 and x=x1=1.5 m. The other four surfaces are rectangles in y=y0=1.6 m, y=y1=4.3 m, z=z0=1.3 m, and z=z1=5.1 m. The surfaces in the yz plane each have area 10.0m2. Those in the xy plane have area 4.0m2 ,and those in the zx plane have area 5.7m2. An electric field has the xyz components (0, 5.7, 7.5) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
+a) 3.249E+01 N·m2/C
-b) 3.574E+01 N·m2/C
-c) 3.931E+01 N·m2/C
-d) 4.324E+01 N·m2/C
-e) 4.757E+01 N·m2/C

### QB:Ch 7:V0

QB153099154202

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

a) 2.299E+00 m
b) 2.529E+00 m
c) 2.782E+00 m
d) 3.060E+00 m
e) 3.366E+00 m
2)
A Van de Graff generator has a 141 cm diameter metal sphere that produces 280 kV near its surface. What is the excess charge on the sphere?
a) 1.500E+01 μC
b) 1.650E+01 μC
c) 1.815E+01 μC
d) 1.997E+01 μC
e) 2.196E+01 μC
3)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
a) 7.982E+01 J
b) 8.780E+01 J
c) 9.658E+01 J
d) 1.062E+02 J
e) 1.169E+02 J

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

QB153099154202

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

+a) 2.299E+00 m
-b) 2.529E+00 m
-c) 2.782E+00 m
-d) 3.060E+00 m
-e) 3.366E+00 m
2)
A Van de Graff generator has a 141 cm diameter metal sphere that produces 280 kV near its surface. What is the excess charge on the sphere?
-a) 1.500E+01 μC
-b) 1.650E+01 μC
-c) 1.815E+01 μC
-d) 1.997E+01 μC
+e) 2.196E+01 μC
3)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=11 μC. How much work was required to assemble these four charges from infinity?
-a) 7.982E+01 J
+b) 8.780E+01 J
-c) 9.658E+01 J
-d) 1.062E+02 J
-e) 1.169E+02 J

### QB:Ch 7:V1

QB153099154202

1)
A Van de Graff generator has a 116 cm diameter metal sphere that produces 246 kV near its surface. What is the excess charge on the sphere?
a) 1.193E+01 μC
b) 1.312E+01 μC
c) 1.443E+01 μC
d) 1.588E+01 μC
e) 1.746E+01 μC
2)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=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) If a 18 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=12 V is x2 + y2 + z2 = R2, where R=

a) 1.114E+01 m
b) 1.226E+01 m
c) 1.348E+01 m
d) 1.483E+01 m
e) 1.631E+01 m

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

QB153099154202

1)
A Van de Graff generator has a 116 cm diameter metal sphere that produces 246 kV near its surface. What is the excess charge on the sphere?
-a) 1.193E+01 μC
-b) 1.312E+01 μC
-c) 1.443E+01 μC
+d) 1.588E+01 μC
-e) 1.746E+01 μC
2)
Four charges lie at the corners of a 5 cm by 5 cm square as shown (i.e., a=b=5 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=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) If a 18 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=12 V is x2 + y2 + z2 = R2, where R=

-a) 1.114E+01 m
-b) 1.226E+01 m
+c) 1.348E+01 m
-d) 1.483E+01 m
-e) 1.631E+01 m

### QB:Ch 7:V2

QB153099154202

1)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
a) 5.650E+01 J
b) 6.215E+01 J
c) 6.837E+01 J
d) 7.520E+01 J
e) 8.272E+01 J

2) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=52 V is x2 + y2 + z2 = R2, where R=

a) 2.420E+00 m
b) 2.662E+00 m
c) 2.928E+00 m
d) 3.221E+00 m
e) 3.543E+00 m
3)
A Van de Graff generator has a 126 cm diameter metal sphere that produces 290 kV near its surface. What is the excess charge on the sphere?
a) 1.388E+01 μC
b) 1.527E+01 μC
c) 1.680E+01 μC
d) 1.848E+01 μC
e) 2.033E+01 μC

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

QB153099154202

1)
Four charges lie at the corners of a 3 cm by 3 cm square as shown (i.e., a=b=3 cm.) The charges are q1=4 μC, q2=7 μC, q3=8 μC, and q4=10 μC. How much work was required to assemble these four charges from infinity?
-a) 5.650E+01 J
-b) 6.215E+01 J
-c) 6.837E+01 J
-d) 7.520E+01 J
+e) 8.272E+01 J

2) If a 14 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=52 V is x2 + y2 + z2 = R2, where R=

+a) 2.420E+00 m
-b) 2.662E+00 m
-c) 2.928E+00 m
-d) 3.221E+00 m
-e) 3.543E+00 m
3)
A Van de Graff generator has a 126 cm diameter metal sphere that produces 290 kV near its surface. What is the excess charge on the sphere?
-a) 1.388E+01 μC
-b) 1.527E+01 μC
-c) 1.680E+01 μC
-d) 1.848E+01 μC
+e) 2.033E+01 μC

### QB:Ch 8:V0

QB153099154202

1) An empty parallel-plate capacitor with metal plates has an area of 2.78 m2, separated by 1.16 mm. How much charge does it store if the voltage is 8.980E+03 V?

a) 1.432E+02 μC
b) 1.575E+02 μC
c) 1.732E+02 μC
d) 1.906E+02 μC
e) 2.096E+02 μC
2)
In the figure shown C1=19.2 μF, C2=2.86 μF, and C3=5.03 μF. The voltage source provides ε=9.46 V. What is the charge on C1?
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
3)
What is the net capacitance if C1=2.25 μF, C2=4.16 μF, and C3=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

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

QB153099154202

1) An empty parallel-plate capacitor with metal plates has an area of 2.78 m2, separated by 1.16 mm. How much charge does it store if the voltage is 8.980E+03 V?

-a) 1.432E+02 μC
-b) 1.575E+02 μC
-c) 1.732E+02 μC
+d) 1.906E+02 μC
-e) 2.096E+02 μC
2)
In the figure shown C1=19.2 μF, C2=2.86 μF, and C3=5.03 μF. The voltage source provides ε=9.46 V. What is the charge on C1?
-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
3)
What is the net capacitance if C1=2.25 μF, C2=4.16 μF, and C3=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

### QB:Ch 8:V1

QB153099154202

1) An empty parallel-plate capacitor with metal plates has an area of 2.51 m2, 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
2)
In the figure shown C1=15.4 μF, C2=2.22 μF, and C3=4.77 μF. The voltage source provides ε=6.8 V. What is the charge on C1?
a) 2.702E+01 μC
b) 2.972E+01 μC
c) 3.269E+01 μC
d) 3.596E+01 μC
e) 3.956E+01 μC
3)
What is the net capacitance if C1=3.25 μF, C2=4.87 μF, and C3=2.19 μF in the configuration shown?
a) 4.139E+00 μF
b) 4.553E+00 μF
c) 5.008E+00 μF
d) 5.509E+00 μF
e) 6.060E+00 μF

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

QB153099154202

1) An empty parallel-plate capacitor with metal plates has an area of 2.51 m2, 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
2)
In the figure shown C1=15.4 μF, C2=2.22 μF, and C3=4.77 μF. The voltage source provides ε=6.8 V. What is the charge on C1?
-a) 2.702E+01 μC
-b) 2.972E+01 μC
+c) 3.269E+01 μC
-d) 3.596E+01 μC
-e) 3.956E+01 μC
3)
What is the net capacitance if C1=3.25 μF, C2=4.87 μF, and C3=2.19 μF in the configuration shown?
+a) 4.139E+00 μF
-b) 4.553E+00 μF
-c) 5.008E+00 μF
-d) 5.509E+00 μF
-e) 6.060E+00 μF

### QB:Ch 8:V2

QB153099154202

1)
In the figure shown C1=17.9 μF, C2=2.76 μF, and C3=5.12 μF. The voltage source provides ε=13.2 V. What is the charge on C1?
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

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

a) 1.368E+01 μC
b) 1.505E+01 μC
c) 1.655E+01 μC
d) 1.820E+01 μC
e) 2.003E+01 μC
3)
What is the net capacitance if C1=4.13 μF, C2=3.56 μF, and C3=3.57 μF in the configuration shown?
a) 5.482E+00 μF
b) 6.030E+00 μF
c) 6.633E+00 μF
d) 7.296E+00 μF
e) 8.026E+00 μF

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

QB153099154202

1)
In the figure shown C1=17.9 μF, C2=2.76 μF, and C3=5.12 μF. The voltage source provides ε=13.2 V. What is the charge on C1?
-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

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

-a) 1.368E+01 μC
-b) 1.505E+01 μC
-c) 1.655E+01 μC
+d) 1.820E+01 μC
-e) 2.003E+01 μC
3)
What is the net capacitance if C1=4.13 μF, C2=3.56 μF, and C3=3.57 μF in the configuration shown?
+a) 5.482E+00 μF
-b) 6.030E+00 μF
-c) 6.633E+00 μF
-d) 7.296E+00 μF
-e) 8.026E+00 μF

### QB:Ch 9:V0

QB153099154202

1) A device requires consumes 172 W of power and requires 2.21 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.

a) 3.157E+05 A/m2
b) 3.472E+05 A/m2
c) 3.820E+05 A/m2
d) 4.202E+05 A/m2
e) 4.622E+05 A/m2

2) Calculate the resistance of a 12-gauge copper wire that is 52 m long and carries a current of 99 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 1.983E-01 Ω
b) 2.181E-01 Ω
c) 2.399E-01 Ω
d) 2.639E-01 Ω
e) 2.903E-01 Ω

3) What is consumer cost to operate one 57−W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.146 per kilowatt-hour? a)$2.282E+01
b) $2.510E+01 c)$2.761E+01
d) $3.038E+01 e)$3.341E+01

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

QB153099154202

1) A device requires consumes 172 W of power and requires 2.21 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.

-a) 3.157E+05 A/m2
-b) 3.472E+05 A/m2
-c) 3.820E+05 A/m2
+d) 4.202E+05 A/m2
-e) 4.622E+05 A/m2

2) Calculate the resistance of a 12-gauge copper wire that is 52 m long and carries a current of 99 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

-a) 1.983E-01 Ω
-b) 2.181E-01 Ω
-c) 2.399E-01 Ω
+d) 2.639E-01 Ω
-e) 2.903E-01 Ω

3) What is consumer cost to operate one 57−W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.146 per kilowatt-hour? -a)$2.282E+01
-b) $2.510E+01 -c)$2.761E+01
-d) $3.038E+01 +e)$3.341E+01

### QB:Ch 9:V1

QB153099154202

1) What is consumer cost to operate one 73−W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.113 per kilowatt-hour? a)$3.312E+01
b) $3.643E+01 c)$4.007E+01
d) $4.408E+01 e)$4.849E+01

2) A device requires consumes 172 W of power and requires 2.21 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.

a) 3.157E+05 A/m2
b) 3.472E+05 A/m2
c) 3.820E+05 A/m2
d) 4.202E+05 A/m2
e) 4.622E+05 A/m2

3) Calculate the resistance of a 12-gauge copper wire that is 15 m long and carries a current of 27 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 5.200E-02 Ω
b) 5.720E-02 Ω
c) 6.292E-02 Ω
d) 6.921E-02 Ω
e) 7.613E-02 Ω

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

QB153099154202

1) What is consumer cost to operate one 73−W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.113 per kilowatt-hour? +a)$3.312E+01
-b) $3.643E+01 -c)$4.007E+01
-d) $4.408E+01 -e)$4.849E+01

2) A device requires consumes 172 W of power and requires 2.21 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.

-a) 3.157E+05 A/m2
-b) 3.472E+05 A/m2
-c) 3.820E+05 A/m2
+d) 4.202E+05 A/m2
-e) 4.622E+05 A/m2

3) Calculate the resistance of a 12-gauge copper wire that is 15 m long and carries a current of 27 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

-a) 5.200E-02 Ω
-b) 5.720E-02 Ω
-c) 6.292E-02 Ω
-d) 6.921E-02 Ω
+e) 7.613E-02 Ω

### QB:Ch 9:V2

QB153099154202

1) Calculate the resistance of a 12-gauge copper wire that is 19 m long and carries a current of 59 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

a) 7.970E-02 Ω
b) 8.767E-02 Ω
c) 9.644E-02 Ω
d) 1.061E-01 Ω
e) 1.167E-01 Ω

2) What is consumer cost to operate one 73−W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.113 per kilowatt-hour? a)$3.312E+01
b) $3.643E+01 c)$4.007E+01
d) $4.408E+01 e)$4.849E+01

3) A device requires consumes 177 W of power and requires 6.82 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.

a) 9.741E+05 A/m2
b) 1.072E+06 A/m2
c) 1.179E+06 A/m2
d) 1.297E+06 A/m2
e) 1.426E+06 A/m2

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

QB153099154202

1) Calculate the resistance of a 12-gauge copper wire that is 19 m long and carries a current of 59 mA. The resistivity of copper is 1.680E-08 Ω·m and 12-gauge wire as a cross-sectional area of 3.31 mm2.

-a) 7.970E-02 Ω
-b) 8.767E-02 Ω
+c) 9.644E-02 Ω
-d) 1.061E-01 Ω
-e) 1.167E-01 Ω

2) What is consumer cost to operate one 73−W incandescent bulb for 11 hours per day for 1 year (365 days) if the cost of electricity is $0.113 per kilowatt-hour? +a)$3.312E+01
-b) $3.643E+01 -c)$4.007E+01
-d) $4.408E+01 -e)$4.849E+01

3) A device requires consumes 177 W of power and requires 6.82 A of current which is supplied by a single core 10-guage (2.588 mm diameter) wire. Find the magnitude of the average current density.

-a) 9.741E+05 A/m2
-b) 1.072E+06 A/m2
-c) 1.179E+06 A/m2
+d) 1.297E+06 A/m2
-e) 1.426E+06 A/m2

### QB:Ch 10:V0

QB153099154202

1)
Two sources of emf ε1=39.4 V, and ε2=12.2 V are oriented as shownin the circuit. The resistances are R1=3.84 kΩ and R2=2.01 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.71 mA and I4=0.669 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 8.825E+00 V
b) 9.708E+00 V
c) 1.068E+01 V
d) 1.175E+01 V
e) 1.292E+01 V

2) A given battery has a 13 V emf and an internal resistance of 0.106 Ω. If it is connected to a 0.752 Ω resistor what is the power dissipated by that load?

a) 1.569E+02 W
b) 1.726E+02 W
c) 1.899E+02 W
d) 2.089E+02 W
e) 2.298E+02 W

3) Three resistors, R1 = 0.624 Ω, and R2 = R2 = 1.37 Ω, are connected in parallel to a 7.46 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)

a) 7.371E+01 W
b) 8.108E+01 W
c) 8.919E+01 W
d) 9.810E+01 W
e) 1.079E+02 W

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

QB153099154202

1)
Two sources of emf ε1=39.4 V, and ε2=12.2 V are oriented as shownin the circuit. The resistances are R1=3.84 kΩ and R2=2.01 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.71 mA and I4=0.669 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
-a) 8.825E+00 V
-b) 9.708E+00 V
-c) 1.068E+01 V
-d) 1.175E+01 V
+e) 1.292E+01 V

2) A given battery has a 13 V emf and an internal resistance of 0.106 Ω. If it is connected to a 0.752 Ω resistor what is the power dissipated by that load?

-a) 1.569E+02 W
+b) 1.726E+02 W
-c) 1.899E+02 W
-d) 2.089E+02 W
-e) 2.298E+02 W

3) Three resistors, R1 = 0.624 Ω, and R2 = R2 = 1.37 Ω, are connected in parallel to a 7.46 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)

-a) 7.371E+01 W
-b) 8.108E+01 W
+c) 8.919E+01 W
-d) 9.810E+01 W
-e) 1.079E+02 W

### QB:Ch 10:V1

QB153099154202

1)
Two sources of emf ε1=14.3 V, and ε2=5.6 V are oriented as shownin the circuit. The resistances are R1=5.31 kΩ and R2=2.39 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=1.12 mA and I4=0.284 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 3.416E+00 V
b) 3.757E+00 V
c) 4.133E+00 V
d) 4.546E+00 V
e) 5.001E+00 V

2) Three resistors, R1 = 1.31 Ω, and R2 = R2 = 2.91 Ω, are connected in parallel to a 6.03 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)

a) 2.294E+01 W
b) 2.523E+01 W
c) 2.776E+01 W
d) 3.053E+01 W
e) 3.359E+01 W

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

a) 1.087E+02 W
b) 1.196E+02 W
c) 1.316E+02 W
d) 1.447E+02 W
e) 1.592E+02 W

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

QB153099154202

1)
Two sources of emf ε1=14.3 V, and ε2=5.6 V are oriented as shownin the circuit. The resistances are R1=5.31 kΩ and R2=2.39 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=1.12 mA and I4=0.284 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
-a) 3.416E+00 V
-b) 3.757E+00 V
-c) 4.133E+00 V
+d) 4.546E+00 V
-e) 5.001E+00 V

2) Three resistors, R1 = 1.31 Ω, and R2 = R2 = 2.91 Ω, are connected in parallel to a 6.03 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)

-a) 2.294E+01 W
-b) 2.523E+01 W
+c) 2.776E+01 W
-d) 3.053E+01 W
-e) 3.359E+01 W

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

-a) 1.087E+02 W
-b) 1.196E+02 W
-c) 1.316E+02 W
+d) 1.447E+02 W
-e) 1.592E+02 W

### QB:Ch 10:V2

QB153099154202

1)
Two sources of emf ε1=58.5 V, and ε2=17.3 V are oriented as shownin the circuit. The resistances are R1=3.06 kΩ and R2=1.88 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=5.25 mA and I4=1.25 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
a) 1.981E+01 V
b) 2.179E+01 V
c) 2.397E+01 V
d) 2.637E+01 V
e) 2.901E+01 V

2) A given battery has a 9 V emf and an internal resistance of 0.141 Ω. If it is connected to a 0.663 Ω resistor what is the power dissipated by that load?

a) 5.674E+01 W
b) 6.242E+01 W
c) 6.866E+01 W
d) 7.553E+01 W
e) 8.308E+01 W

3) Three resistors, R1 = 0.548 Ω, and R2 = R2 = 1.24 Ω, are connected in parallel to a 7.16 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)

a) 7.029E+01 W
b) 7.731E+01 W
c) 8.505E+01 W
d) 9.355E+01 W
e) 1.029E+02 W

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

QB153099154202

1)
Two sources of emf ε1=58.5 V, and ε2=17.3 V are oriented as shownin the circuit. The resistances are R1=3.06 kΩ and R2=1.88 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=5.25 mA and I4=1.25 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of voltage drop across R2?
-a) 1.981E+01 V
+b) 2.179E+01 V
-c) 2.397E+01 V
-d) 2.637E+01 V
-e) 2.901E+01 V

2) A given battery has a 9 V emf and an internal resistance of 0.141 Ω. If it is connected to a 0.663 Ω resistor what is the power dissipated by that load?

-a) 5.674E+01 W
-b) 6.242E+01 W
-c) 6.866E+01 W
-d) 7.553E+01 W
+e) 8.308E+01 W

3) Three resistors, R1 = 0.548 Ω, and R2 = R2 = 1.24 Ω, are connected in parallel to a 7.16 V voltage source. Calculate the power dissipated by the smaller resistor (R1.)

-a) 7.029E+01 W
-b) 7.731E+01 W
-c) 8.505E+01 W
+d) 9.355E+01 W
-e) 1.029E+02 W

### QB:Ch 11:V0

QB153099154202

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

a) 1.323E+01 MeV
b) 1.456E+01 MeV
c) 1.601E+01 MeV
d) 1.761E+01 MeV
e) 1.937E+01 MeV
2)
The silver ribbon shown are a=3.74 cm, b=2.68 cm, and c= 0.415 cm. The current carries a current of 228 A and it lies in a uniform magnetic field of 1.49 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hallpotential between the edges of the ribbon.
a) 8.660E-06 V
b) 9.526E-06 V
c) 1.048E-05 V
d) 1.153E-05 V
e) 1.268E-05 V

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

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

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

QB153099154202

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

-a) 1.323E+01 MeV
-b) 1.456E+01 MeV
+c) 1.601E+01 MeV
-d) 1.761E+01 MeV
-e) 1.937E+01 MeV
2)
The silver ribbon shown are a=3.74 cm, b=2.68 cm, and c= 0.415 cm. The current carries a current of 228 A and it lies in a uniform magnetic field of 1.49 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hallpotential between the edges of the ribbon.
+a) 8.660E-06 V
-b) 9.526E-06 V
-c) 1.048E-05 V
-d) 1.153E-05 V
-e) 1.268E-05 V

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

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

### QB:Ch 11:V1

QB153099154202

1)
The silver ribbon shown are a=3.74 cm, b=2.68 cm, and c= 0.415 cm. The current carries a current of 228 A and it lies in a uniform magnetic field of 1.49 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hallpotential between the edges of the ribbon.
a) 8.660E-06 V
b) 9.526E-06 V
c) 1.048E-05 V
d) 1.153E-05 V
e) 1.268E-05 V

2) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.295 m and a magneticfield of 1.44 T. What is their maximum kinetic energy?

a) 6.534E+00 MeV
b) 7.187E+00 MeV
c) 7.906E+00 MeV
d) 8.697E+00 MeV
e) 9.566E+00 MeV

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0883 T . It emerges after being deflected by 74° from its original direction. How much time did it spend in that magnetic field?

a) 2.280E-07 s
b) 2.508E-07 s
c) 2.759E-07 s
d) 3.035E-07 s
e) 3.339E-07 s

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

QB153099154202

1)
The silver ribbon shown are a=3.74 cm, b=2.68 cm, and c= 0.415 cm. The current carries a current of 228 A and it lies in a uniform magnetic field of 1.49 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hallpotential between the edges of the ribbon.
+a) 8.660E-06 V
-b) 9.526E-06 V
-c) 1.048E-05 V
-d) 1.153E-05 V
-e) 1.268E-05 V

2) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.295 m and a magneticfield of 1.44 T. What is their maximum kinetic energy?

-a) 6.534E+00 MeV
-b) 7.187E+00 MeV
-c) 7.906E+00 MeV
+d) 8.697E+00 MeV
-e) 9.566E+00 MeV

3) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0883 T . It emerges after being deflected by 74° from its original direction. How much time did it spend in that magnetic field?

-a) 2.280E-07 s
-b) 2.508E-07 s
-c) 2.759E-07 s
+d) 3.035E-07 s
-e) 3.339E-07 s

### QB:Ch 11:V2

QB153099154202

1) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.449 m and a magneticfield of 0.81 T. What is their maximum kinetic energy?

a) 5.795E+00 MeV
b) 6.374E+00 MeV
c) 7.012E+00 MeV
d) 7.713E+00 MeV
e) 8.484E+00 MeV

2) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0279 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

a) 7.270E-07 s
b) 7.997E-07 s
c) 8.797E-07 s
d) 9.676E-07 s
e) 1.064E-06 s
3)
The silver ribbon shown are a=3.68 cm, b=2.66 cm, and c= 0.505 cm. The current carries a current of 113 A and it lies in a uniform magnetic field of 3.12 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hallpotential between the edges of the ribbon.
a) 6.104E-06 V
b) 6.714E-06 V
c) 7.385E-06 V
d) 8.124E-06 V
e) 8.936E-06 V

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

QB153099154202

1) A cyclotron used to accelerate alpha particlesm=6.64 x 10−27kg, q=3.2 x 10−19C) has a radius of 0.449 m and a magneticfield of 0.81 T. What is their maximum kinetic energy?

-a) 5.795E+00 MeV
+b) 6.374E+00 MeV
-c) 7.012E+00 MeV
-d) 7.713E+00 MeV
-e) 8.484E+00 MeV

2) An alpha-particle (m=6.64x10−27kg, q=3.2x10−19C) briefly enters a uniform magnetic field of magnitude 0.0279 T . It emerges after being deflected by 82° from its original direction. How much time did it spend in that magnetic field?

-a) 7.270E-07 s
-b) 7.997E-07 s
-c) 8.797E-07 s
-d) 9.676E-07 s
+e) 1.064E-06 s
3)
The silver ribbon shown are a=3.68 cm, b=2.66 cm, and c= 0.505 cm. The current carries a current of 113 A and it lies in a uniform magnetic field of 3.12 T. Using the density of 5.900E+28 electrons per cubic meter for silver, find the Hallpotential between the edges of the ribbon.
-a) 6.104E-06 V
-b) 6.714E-06 V
+c) 7.385E-06 V
-d) 8.124E-06 V
-e) 8.936E-06 V

### QB:Ch 12:V0

QB153099154202

1) A wire carries a current of 353 A in a circular arc with radius 2.44 cm swept through 86 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?

a) 5.891E+00 Tesla
b) 6.481E+00 Tesla
c) 7.129E+00 Tesla
d) 7.841E+00 Tesla
e) 8.626E+00 Tesla

2) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for ${\displaystyle r is,
${\displaystyle B_{\theta }(r)=\left({\frac {2r}{a}}-{\frac {r^{2}}{a^{2}}}\right)B_{max}}$,
where ${\displaystyle B_{max}}$ is the maximum magnetic field (at ${\displaystyle r=a}$). If ${\displaystyle a=}$ 0.736 m and ${\displaystyle B_{max}=\,}$ 0.204 T, then how much current (in the z-direction) flows through a circle of radius ${\displaystyle r=}$ 0.532 m that is centered on the axis with its plane perpendicular to the axis?

a) 3.764E+05 A
b) 4.140E+05 A
c) 4.554E+05 A
d) 5.010E+05 A
e) 5.510E+05 A
3)
Three wires sit at the corners of a square of length 0.703 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (2.49 A, 1.32 A, 1.75 A), respectively. What is the y-component of the magnetic field at point P?
a) By= 8.962E-05 T
b) By= 9.858E-05 T
c) By= 1.084E-04 T
d) By= 1.193E-04 T
e) By= 1.312E-04 T

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

QB153099154202

1) A wire carries a current of 353 A in a circular arc with radius 2.44 cm swept through 86 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?

-a) 5.891E+00 Tesla
-b) 6.481E+00 Tesla
+c) 7.129E+00 Tesla
-d) 7.841E+00 Tesla
-e) 8.626E+00 Tesla

2) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for ${\displaystyle r is,
${\displaystyle B_{\theta }(r)=\left({\frac {2r}{a}}-{\frac {r^{2}}{a^{2}}}\right)B_{max}}$,
where ${\displaystyle B_{max}}$ is the maximum magnetic field (at ${\displaystyle r=a}$). If ${\displaystyle a=}$ 0.736 m and ${\displaystyle B_{max}=\,}$ 0.204 T, then how much current (in the z-direction) flows through a circle of radius ${\displaystyle r=}$ 0.532 m that is centered on the axis with its plane perpendicular to the axis?

-a) 3.764E+05 A
-b) 4.140E+05 A
-c) 4.554E+05 A
+d) 5.010E+05 A
-e) 5.510E+05 A
3)
Three wires sit at the corners of a square of length 0.703 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (2.49 A, 1.32 A, 1.75 A), respectively. What is the y-component of the magnetic field at point P?
+a) By= 8.962E-05 T
-b) By= 9.858E-05 T
-c) By= 1.084E-04 T
-d) By= 1.193E-04 T
-e) By= 1.312E-04 T

### QB:Ch 12:V1

QB153099154202

1) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for ${\displaystyle r is,
${\displaystyle B_{\theta }(r)=\left({\frac {2r}{a}}-{\frac {r^{2}}{a^{2}}}\right)B_{max}}$,
where ${\displaystyle B_{max}}$ is the maximum magnetic field (at ${\displaystyle r=a}$). If ${\displaystyle a=}$ 0.37 m and ${\displaystyle B_{max}=\,}$ 0.556 T, then how much current (in the z-direction) flows through a circle of radius ${\displaystyle r=}$ 0.14 m that is centered on the axis with its plane perpendicular to the axis?

a) 2.171E+05 A
b) 2.388E+05 A
c) 2.627E+05 A
d) 2.890E+05 A
e) 3.179E+05 A

2) A wire carries a current of 250 A in a circular arc with radius 2.17 cm swept through 53 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?

a) 3.498E+00 Tesla
b) 3.848E+00 Tesla
c) 4.233E+00 Tesla
d) 4.656E+00 Tesla
e) 5.122E+00 Tesla
3)
Three wires sit at the corners of a square of length 0.787 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (1.68 A, 2.44 A, 2.47 A), respectively. What is the y-component of the magnetic field at point P?
a) By= 6.091E-05 T
b) By= 6.700E-05 T
c) By= 7.370E-05 T
d) By= 8.107E-05 T
e) By= 8.917E-05 T

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

QB153099154202

1) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for ${\displaystyle r is,
${\displaystyle B_{\theta }(r)=\left({\frac {2r}{a}}-{\frac {r^{2}}{a^{2}}}\right)B_{max}}$,
where ${\displaystyle B_{max}}$ is the maximum magnetic field (at ${\displaystyle r=a}$). If ${\displaystyle a=}$ 0.37 m and ${\displaystyle B_{max}=\,}$ 0.556 T, then how much current (in the z-direction) flows through a circle of radius ${\displaystyle r=}$ 0.14 m that is centered on the axis with its plane perpendicular to the axis?

-a) 2.171E+05 A
+b) 2.388E+05 A
-c) 2.627E+05 A
-d) 2.890E+05 A
-e) 3.179E+05 A

2) A wire carries a current of 250 A in a circular arc with radius 2.17 cm swept through 53 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?

+a) 3.498E+00 Tesla
-b) 3.848E+00 Tesla
-c) 4.233E+00 Tesla
-d) 4.656E+00 Tesla
-e) 5.122E+00 Tesla
3)
Three wires sit at the corners of a square of length 0.787 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (1.68 A, 2.44 A, 2.47 A), respectively. What is the y-component of the magnetic field at point P?
-a) By= 6.091E-05 T
-b) By= 6.700E-05 T
+c) By= 7.370E-05 T
-d) By= 8.107E-05 T
-e) By= 8.917E-05 T

### QB:Ch 12:V2

QB153099154202

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

a) 3.551E+00 Tesla
b) 3.907E+00 Tesla
c) 4.297E+00 Tesla
d) 4.727E+00 Tesla
e) 5.200E+00 Tesla
2)
Three wires sit at the corners of a square of length 0.495 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (2.45 A, 1.66 A, 1.63 A), respectively. What is the y-component of the magnetic field at point P?
a) By= 1.205E-04 T
b) By= 1.325E-04 T
c) By= 1.458E-04 T
d) By= 1.604E-04 T
e) By= 1.764E-04 T

3) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for ${\displaystyle r is,
${\displaystyle B_{\theta }(r)=\left({\frac {2r}{a}}-{\frac {r^{2}}{a^{2}}}\right)B_{max}}$,
where ${\displaystyle B_{max}}$ is the maximum magnetic field (at ${\displaystyle r=a}$). If ${\displaystyle a=}$ 0.248 m and ${\displaystyle B_{max}=\,}$ 0.459 T, then how much current (in the z-direction) flows through a circle of radius ${\displaystyle r=}$ 0.152 m that is centered on the axis with its plane perpendicular to the axis?

a) 2.228E+05 A
b) 2.451E+05 A
c) 2.696E+05 A
d) 2.966E+05 A
e) 3.262E+05 A

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

QB153099154202

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

-a) 3.551E+00 Tesla
-b) 3.907E+00 Tesla
-c) 4.297E+00 Tesla
+d) 4.727E+00 Tesla
-e) 5.200E+00 Tesla
2)
Three wires sit at the corners of a square of length 0.495 cm. The currents all are in the positive-z direction (i.e. all come out of the paper in the figure shown.) The currents (I1, I2, I2) are (2.45 A, 1.66 A, 1.63 A), respectively. What is the y-component of the magnetic field at point P?
-a) By= 1.205E-04 T
+b) By= 1.325E-04 T
-c) By= 1.458E-04 T
-d) By= 1.604E-04 T
-e) By= 1.764E-04 T

3) The Z-pinch is an (often unstable) cylindrical plasma in which a aximuthal magnetic field is produced by a current in the z direction. A simple model for the magnetic field, valid for ${\displaystyle r is,
${\displaystyle B_{\theta }(r)=\left({\frac {2r}{a}}-{\frac {r^{2}}{a^{2}}}\right)B_{max}}$,
where ${\displaystyle B_{max}}$ is the maximum magnetic field (at ${\displaystyle r=a}$). If ${\displaystyle a=}$ 0.248 m and ${\displaystyle B_{max}=\,}$ 0.459 T, then how much current (in the z-direction) flows through a circle of radius ${\displaystyle r=}$ 0.152 m that is centered on the axis with its plane perpendicular to the axis?

-a) 2.228E+05 A
-b) 2.451E+05 A
-c) 2.696E+05 A
+d) 2.966E+05 A
-e) 3.262E+05 A

### QB:Ch 13:V0

QB153099154202

1) A long solenoid has a radius of 0.851 m and 12 turns per meter; its current decreases with time according to ${\displaystyle I_{0}e^{-\alpha t}}$, where ${\displaystyle I_{0}=}$3 A and ${\displaystyle \alpha =}$30 s−1.What is the induced electric fied at a distance 0.14 m from the axis at time t=0.0531 s ?

a) 1.319E-05 V/m
b) 1.451E-05 V/m
c) 1.596E-05 V/m
d) 1.756E-05 V/m
e) 1.932E-05 V/m

2) A square coil has sides that are L= 0.458 m long and is tightly wound with N=742 turns of wire. The resistance of the coil is R=6.81 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=0.0559 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

a) 1.056E+00 A
b) 1.161E+00 A
c) 1.278E+00 A
d) 1.405E+00 A
e) 1.546E+00 A

3) Calculate the motional emf induced along a 46.2 km conductor moving at an orbital speed of 7.9 km/s perpendicular to Earth's 4.630E-05 Tesla magnetic field.

a) 1.536E+04 V
b) 1.690E+04 V
c) 1.859E+04 V
d) 2.045E+04 V
e) 2.249E+04 V

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

QB153099154202

1) A long solenoid has a radius of 0.851 m and 12 turns per meter; its current decreases with time according to ${\displaystyle I_{0}e^{-\alpha t}}$, where ${\displaystyle I_{0}=}$3 A and ${\displaystyle \alpha =}$30 s−1.What is the induced electric fied at a distance 0.14 m from the axis at time t=0.0531 s ?

-a) 1.319E-05 V/m
-b) 1.451E-05 V/m
-c) 1.596E-05 V/m
-d) 1.756E-05 V/m
+e) 1.932E-05 V/m

2) A square coil has sides that are L= 0.458 m long and is tightly wound with N=742 turns of wire. The resistance of the coil is R=6.81 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=0.0559 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

-a) 1.056E+00 A
-b) 1.161E+00 A
+c) 1.278E+00 A
-d) 1.405E+00 A
-e) 1.546E+00 A

3) Calculate the motional emf induced along a 46.2 km conductor moving at an orbital speed of 7.9 km/s perpendicular to Earth's 4.630E-05 Tesla magnetic field.

-a) 1.536E+04 V
+b) 1.690E+04 V
-c) 1.859E+04 V
-d) 2.045E+04 V
-e) 2.249E+04 V

### QB:Ch 13:V1

QB153099154202

1) Calculate the motional emf induced along a 49.5 km conductor moving at an orbital speed of 7.77 km/s perpendicular to Earth's 5.310E-05 Tesla magnetic field.

a) 1.395E+04 V
b) 1.534E+04 V
c) 1.688E+04 V
d) 1.857E+04 V
e) 2.042E+04 V

2) A square coil has sides that are L= 0.465 m long and is tightly wound with N=954 turns of wire. The resistance of the coil is R=6.06 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=0.0367 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

a) 1.136E+00 A
b) 1.249E+00 A
c) 1.374E+00 A
d) 1.512E+00 A
e) 1.663E+00 A

3) A long solenoid has a radius of 0.596 m and 19 turns per meter; its current decreases with time according to ${\displaystyle I_{0}e^{-\alpha t}}$, where ${\displaystyle I_{0}=}$5 A and ${\displaystyle \alpha =}$29 s−1.What is the induced electric fied at a distance 0.209 m from the axis at time t=0.0604 s ?

a) 6.277E-05 V/m
b) 6.904E-05 V/m
c) 7.595E-05 V/m
d) 8.354E-05 V/m
e) 9.190E-05 V/m

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

QB153099154202

1) Calculate the motional emf induced along a 49.5 km conductor moving at an orbital speed of 7.77 km/s perpendicular to Earth's 5.310E-05 Tesla magnetic field.

-a) 1.395E+04 V
-b) 1.534E+04 V
-c) 1.688E+04 V
-d) 1.857E+04 V
+e) 2.042E+04 V

2) A square coil has sides that are L= 0.465 m long and is tightly wound with N=954 turns of wire. The resistance of the coil is R=6.06 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=0.0367 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

-a) 1.136E+00 A
+b) 1.249E+00 A
-c) 1.374E+00 A
-d) 1.512E+00 A
-e) 1.663E+00 A

3) A long solenoid has a radius of 0.596 m and 19 turns per meter; its current decreases with time according to ${\displaystyle I_{0}e^{-\alpha t}}$, where ${\displaystyle I_{0}=}$5 A and ${\displaystyle \alpha =}$29 s−1.What is the induced electric fied at a distance 0.209 m from the axis at time t=0.0604 s ?

+a) 6.277E-05 V/m
-b) 6.904E-05 V/m
-c) 7.595E-05 V/m
-d) 8.354E-05 V/m
-e) 9.190E-05 V/m

### QB:Ch 13:V2

QB153099154202

1) A long solenoid has a radius of 0.447 m and 85 turns per meter; its current decreases with time according to ${\displaystyle I_{0}e^{-\alpha t}}$, where ${\displaystyle I_{0}=}$7 A and ${\displaystyle \alpha =}$23 s−1.What is the induced electric fied at a distance 0.212 m from the axis at time t=0.0819 s ?

a) 1.893E-04 V/m
b) 2.082E-04 V/m
c) 2.290E-04 V/m
d) 2.519E-04 V/m
e) 2.771E-04 V/m

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

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

3) A square coil has sides that are L= 0.738 m long and is tightly wound with N=717 turns of wire. The resistance of the coil is R=5.25 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=0.0655 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

a) 3.660E+00 A
b) 4.027E+00 A
c) 4.429E+00 A
d) 4.872E+00 A
e) 5.359E+00 A

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

QB153099154202

1) A long solenoid has a radius of 0.447 m and 85 turns per meter; its current decreases with time according to ${\displaystyle I_{0}e^{-\alpha t}}$, where ${\displaystyle I_{0}=}$7 A and ${\displaystyle \alpha =}$23 s−1.What is the induced electric fied at a distance 0.212 m from the axis at time t=0.0819 s ?

-a) 1.893E-04 V/m
-b) 2.082E-04 V/m
-c) 2.290E-04 V/m
-d) 2.519E-04 V/m
+e) 2.771E-04 V/m

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

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

3) A square coil has sides that are L= 0.738 m long and is tightly wound with N=717 turns of wire. The resistance of the coil is R=5.25 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=0.0655 T/s. If R represents the only impedance of the coil, what is the magnitude of the current circulting through it?

-a) 3.660E+00 A
-b) 4.027E+00 A
-c) 4.429E+00 A
+d) 4.872E+00 A
-e) 5.359E+00 A

### QB:Ch 14:V0

QB153099154202

1)
A long solenoid has a length 0.864 meters, radius 3.37 cm, and 522 turns. It surrounds coil of radius 7.87 meters and 13turns. If the current in the solenoid is changing at a rate of 290 A/s, what is the emf induced in the surounding coil?
a) 2.917E-02 V
b) 3.208E-02 V
c) 3.529E-02 V
d) 3.882E-02 V
e) 4.270E-02 V

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

a) 8.339E-04 s
b) 9.173E-04 s
c) 1.009E-03 s
d) 1.110E-03 s
e) 1.221E-03 s
3)
Suppose switch S1 in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S1 is opened as as S2 is closed. How long will it take for the energy stored in the inductor to be reduced to 1.82% of its maximum value if ε = 8.65 V , R = 3.02 Ω, and L = 1.75 H?
a) -9.593E-01 s
b) -1.055E+00 s
c) -1.161E+00 s
d) -1.277E+00 s
e) -1.405E+00 s

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

QB153099154202

1)
A long solenoid has a length 0.864 meters, radius 3.37 cm, and 522 turns. It surrounds coil of radius 7.87 meters and 13turns. If the current in the solenoid is changing at a rate of 290 A/s, what is the emf induced in the surounding coil?
-a) 2.917E-02 V
+b) 3.208E-02 V
-c) 3.529E-02 V
-d) 3.882E-02 V
-e) 4.270E-02 V

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

-a) 8.339E-04 s
+b) 9.173E-04 s
-c) 1.009E-03 s
-d) 1.110E-03 s
-e) 1.221E-03 s
3)
Suppose switch S1 in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S1 is opened as as S2 is closed. How long will it take for the energy stored in the inductor to be reduced to 1.82% of its maximum value if ε = 8.65 V , R = 3.02 Ω, and L = 1.75 H?
-a) -9.593E-01 s
-b) -1.055E+00 s
+c) -1.161E+00 s
-d) -1.277E+00 s
-e) -1.405E+00 s

### QB:Ch 14:V1

QB153099154202

1)
Suppose switch S1 in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S1 is opened as as S2 is closed. How long will it take for the energy stored in the inductor to be reduced to 2.54% of its maximum value if ε = 2.46 V , R = 2.8 Ω, and L = 5.67 H?
a) -2.540E+00 s
b) -2.794E+00 s
c) -3.073E+00 s
d) -3.381E+00 s
e) -3.719E+00 s
2)
A long solenoid has a length 0.896 meters, radius 4.28 cm, and 550 turns. It surrounds coil of radius 6.65 meters and 9turns. If the current in the solenoid is changing at a rate of 204 A/s, what is the emf induced in the surounding coil?
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

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

QB153099154202

1)
Suppose switch S1 in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S1 is opened as as S2 is closed. How long will it take for the energy stored in the inductor to be reduced to 2.54% of its maximum value if ε = 2.46 V , R = 2.8 Ω, and L = 5.67 H?
-a) -2.540E+00 s
-b) -2.794E+00 s
-c) -3.073E+00 s
-d) -3.381E+00 s
+e) -3.719E+00 s
2)
A long solenoid has a length 0.896 meters, radius 4.28 cm, and 550 turns. It surrounds coil of radius 6.65 meters and 9turns. If the current in the solenoid is changing at a rate of 204 A/s, what is the emf induced in the surounding coil?
-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

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

QB153099154202

1)
A long solenoid has a length 0.567 meters, radius 3.35 cm, and 555 turns. It surrounds coil of radius 5.73 meters and 9turns. If the current in the solenoid is changing at a rate of 281 A/s, what is the emf induced in the surounding coil?
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
2)
Suppose switch S1 in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S1 is opened as as S2 is closed. How long will it take for the energy stored in the inductor to be reduced to 1.82% of its maximum value if ε = 8.65 V , R = 3.02 Ω, and L = 1.75 H?
a) -9.593E-01 s
b) -1.055E+00 s
c) -1.161E+00 s
d) -1.277E+00 s
e) -1.405E+00 s

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

a) 4.846E-04 s
b) 5.330E-04 s
c) 5.863E-04 s
d) 6.449E-04 s
e) 7.094E-04 s

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

QB153099154202

1)
A long solenoid has a length 0.567 meters, radius 3.35 cm, and 555 turns. It surrounds coil of radius 5.73 meters and 9turns. If the current in the solenoid is changing at a rate of 281 A/s, what is the emf induced in the surounding coil?
+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
2)
Suppose switch S1 in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S1 is opened as as S2 is closed. How long will it take for the energy stored in the inductor to be reduced to 1.82% of its maximum value if ε = 8.65 V , R = 3.02 Ω, and L = 1.75 H?
-a) -9.593E-01 s
-b) -1.055E+00 s
+c) -1.161E+00 s
-d) -1.277E+00 s
-e) -1.405E+00 s

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

-a) 4.846E-04 s
-b) 5.330E-04 s
+c) 5.863E-04 s
-d) 6.449E-04 s
-e) 7.094E-04 s

### QB:Ch 15:V0

QB153099154202

1) A step-down transformer steps 15 kV down to 250 V. The high-voltage input is provided by a 130 Ω power line that carries 4 A of currentWhat is the output current (at the 250 V side ?)

a) 1.983E+02 A
b) 2.182E+02 A
c) 2.400E+02 A
d) 2.640E+02 A
e) 2.904E+02 A

2) An ac generator produces an emf of amplitude 50 V at a frequency of 47 Hz. What is the maximum amplitude of the current if the generator is connected to a 88 mF capacitor?

a) 1.074E+00 A
b) 1.181E+00 A
c) 1.299E+00 A
d) 1.429E+00 A
e) 1.572E+00 A

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:V0

QB153099154202

1) A step-down transformer steps 15 kV down to 250 V. The high-voltage input is provided by a 130 Ω power line that carries 4 A of currentWhat is the output current (at the 250 V side ?)

-a) 1.983E+02 A
-b) 2.182E+02 A
+c) 2.400E+02 A
-d) 2.640E+02 A
-e) 2.904E+02 A

2) An ac generator produces an emf of amplitude 50 V at a frequency of 47 Hz. What is the maximum amplitude of the current if the generator is connected to a 88 mF capacitor?

-a) 1.074E+00 A
-b) 1.181E+00 A
+c) 1.299E+00 A
-d) 1.429E+00 A
-e) 1.572E+00 A

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 15:V1

QB153099154202

1) The output of an ac generator connected to an RLC series combination has a frequency of 5.00E+04 Hz and an amplitude of 5 V. If R =6 Ω, L= 2.50E-03H , and C=5.20E-06 F, what is the rms power transferred to the resistor?

a) 5.097E-03 Watts
b) 5.607E-03 Watts
c) 6.167E-03 Watts
d) 6.784E-03 Watts
e) 7.463E-03 Watts

2) An ac generator produces an emf of amplitude 64 V at a frequency of 100 Hz. What is the maximum amplitude of the current if the generator is connected to a 32 mF capacitor?

a) 1.170E+00 A
b) 1.287E+00 A
c) 1.415E+00 A
d) 1.557E+00 A
e) 1.713E+00 A

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

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

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

QB153099154202

1) The output of an ac generator connected to an RLC series combination has a frequency of 5.00E+04 Hz and an amplitude of 5 V. If R =6 Ω, L= 2.50E-03H , and C=5.20E-06 F, what is the rms power transferred to the resistor?

+a) 5.097E-03 Watts
-b) 5.607E-03 Watts
-c) 6.167E-03 Watts
-d) 6.784E-03 Watts
-e) 7.463E-03 Watts

2) An ac generator produces an emf of amplitude 64 V at a frequency of 100 Hz. What is the maximum amplitude of the current if the generator is connected to a 32 mF capacitor?

-a) 1.170E+00 A
+b) 1.287E+00 A
-c) 1.415E+00 A
-d) 1.557E+00 A
-e) 1.713E+00 A

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

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

### QB:Ch 15:V2

QB153099154202

1) 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

2) An ac generator produces an emf of amplitude 4 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 19 mF capacitor?

a) 6.946E-02 A
b) 7.640E-02 A
c) 8.404E-02 A
d) 9.245E-02 A
e) 1.017E-01 A

3) A step-down transformer steps 18 kV down to 230 V. The high-voltage input is provided by a 250 Ω power line that carries 8 A of currentWhat is the output current (at the 230 V side ?)

a) 5.174E+02 A
b) 5.692E+02 A
c) 6.261E+02 A
d) 6.887E+02 A
e) 7.576E+02 A

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

QB153099154202

1) 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

2) An ac generator produces an emf of amplitude 4 V at a frequency of 160 Hz. What is the maximum amplitude of the current if the generator is connected to a 19 mF capacitor?

-a) 6.946E-02 A
+b) 7.640E-02 A
-c) 8.404E-02 A
-d) 9.245E-02 A
-e) 1.017E-01 A

3) A step-down transformer steps 18 kV down to 230 V. The high-voltage input is provided by a 250 Ω power line that carries 8 A of currentWhat is the output current (at the 230 V side ?)

-a) 5.174E+02 A
-b) 5.692E+02 A
+c) 6.261E+02 A
-d) 6.887E+02 A
-e) 7.576E+02 A

### QB:Ch 16:V0

QB153099154202

1)
A parallel plate capacitor with a capicatnce C=9.10E-06 F whose plates have an area A=8.50E+03 m2 and separation d=8.30E-03 m is connected via a swith to a 67 Ω resistor and a battery of voltage V0=8 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=1.40E-03?
a) 5.946E+00 V
b) 6.541E+00 V
c) 7.195E+00 V
d) 7.914E+00 V
e) 8.706E+00 V

2) What is the radiation force on an object that is 1.70E+11 m away from the sun and has cross-sectional area of 0.033 m2? The average power output of the Sun is 3.80E+26 W.

a) 1.904E-07 N
b) 2.094E-07 N
c) 2.303E-07 N
d) 2.534E-07 N
e) 2.787E-07 N

3) 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

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

QB153099154202

1)
A parallel plate capacitor with a capicatnce C=9.10E-06 F whose plates have an area A=8.50E+03 m2 and separation d=8.30E-03 m is connected via a swith to a 67 Ω resistor and a battery of voltage V0=8 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=1.40E-03?
-a) 5.946E+00 V
-b) 6.541E+00 V
+c) 7.195E+00 V
-d) 7.914E+00 V
-e) 8.706E+00 V

2) What is the radiation force on an object that is 1.70E+11 m away from the sun and has cross-sectional area of 0.033 m2? The average power output of the Sun is 3.80E+26 W.

-a) 1.904E-07 N
-b) 2.094E-07 N
+c) 2.303E-07 N
-d) 2.534E-07 N
-e) 2.787E-07 N

3) 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

### QB:Ch 16:V1

QB153099154202

1)
A parallel plate capacitor with a capicatnce C=7.50E-06 F whose plates have an area A=2.90E+03 m2 and separation d=3.40E-03 m is connected via a swith to a 61 Ω resistor and a battery of voltage V0=77 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=1.70E-03?
a) 5.131E+01 V
b) 5.644E+01 V
c) 6.209E+01 V
d) 6.830E+01 V
e) 7.513E+01 V

2) What is the radiation force on an object that is 9.90E+11 m away from the sun and has cross-sectional area of 0.083 m2? The average power output of the Sun is 3.80E+26 W.

a) 1.167E-08 N
b) 1.284E-08 N
c) 1.412E-08 N
d) 1.553E-08 N
e) 1.708E-08 N

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

QB153099154202

1)
A parallel plate capacitor with a capicatnce C=7.50E-06 F whose plates have an area A=2.90E+03 m2 and separation d=3.40E-03 m is connected via a swith to a 61 Ω resistor and a battery of voltage V0=77 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=1.70E-03?
-a) 5.131E+01 V
-b) 5.644E+01 V
-c) 6.209E+01 V
-d) 6.830E+01 V
+e) 7.513E+01 V

2) What is the radiation force on an object that is 9.90E+11 m away from the sun and has cross-sectional area of 0.083 m2? The average power output of the Sun is 3.80E+26 W.

-a) 1.167E-08 N
-b) 1.284E-08 N
-c) 1.412E-08 N
-d) 1.553E-08 N
+e) 1.708E-08 N

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

QB153099154202

1)
A parallel plate capacitor with a capicatnce C=7.50E-06 F whose plates have an area A=2.90E+03 m2 and separation d=3.40E-03 m is connected via a swith to a 61 Ω resistor and a battery of voltage V0=77 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=1.70E-03?
a) 5.131E+01 V
b) 5.644E+01 V
c) 6.209E+01 V
d) 6.830E+01 V
e) 7.513E+01 V

2) What is the radiation force on an object that is 5.40E+11 m away from the sun and has cross-sectional area of 0.021 m2? The average power output of the Sun is 3.80E+26 W.

a) 9.923E-09 N
b) 1.092E-08 N
c) 1.201E-08 N
d) 1.321E-08 N
e) 1.453E-08 N

3) A 47 kW radio transmitter on Earth sends it signal to a satellite 130 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 90 kW?

a) 1.799E+02 km
b) 1.979E+02 km
c) 2.177E+02 km
d) 2.394E+02 km
e) 2.634E+02 km

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

QB153099154202

1)
A parallel plate capacitor with a capicatnce C=7.50E-06 F whose plates have an area A=2.90E+03 m2 and separation d=3.40E-03 m is connected via a swith to a 61 Ω resistor and a battery of voltage V0=77 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the voltage at time t=1.70E-03?
-a) 5.131E+01 V
-b) 5.644E+01 V
-c) 6.209E+01 V
-d) 6.830E+01 V
+e) 7.513E+01 V

2) What is the radiation force on an object that is 5.40E+11 m away from the sun and has cross-sectional area of 0.021 m2? The average power output of the Sun is 3.80E+26 W.

-a) 9.923E-09 N
-b) 1.092E-08 N
-c) 1.201E-08 N
-d) 1.321E-08 N
+e) 1.453E-08 N

3) A 47 kW radio transmitter on Earth sends it signal to a satellite 130 km away. At what distance in the same direction would the signal have the same maximum field strength if the transmitter's output power were increased to 90 kW?

+a) 1.799E+02 km
-b) 1.979E+02 km
-c) 2.177E+02 km
-d) 2.394E+02 km
-e) 2.634E+02 km