# Quizbank/Electricity and Magnetism (calculus based)/QB153089888048

QB153089888048

### QB:Ch 5:V0

QB153089888048

1)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=6\times 10^{-7}{\text{m}}}$.what angle does the force on ${\displaystyle q_{2}}$ make above the ${\displaystyle -x}$ axis if ${\displaystyle q_{1}=3e}$, ${\displaystyle q_{2}=-7e}$, and ${\displaystyle q_{3}=4e}$?
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

2)  ${\displaystyle E(z)=\int _{0}^{R}f(r',z)dr'}$
is an integral that calculates the magnitude of the electric field at a distance ${\displaystyle z}$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is ${\displaystyle R=2.0{\text{ m}}}$ and the surface charge density is ${\displaystyle \sigma =9{\text{ nC/m}}^{3}}$. Evaluate ${\displaystyle f(r',z)}$ at ${\displaystyle r'=1.2{\text{ m}}}$.

a) 8.933E+00 V/m2
b) 9.826E+00 V/m2
c) 1.081E+01 V/m2
d) 1.189E+01 V/m2
e) 1.308E+01 V/m2
3)
A ring is uniformly charged with a net charge of 7 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=0.34 m (on axis) away from the loop's center?
a) 3.672E+09 N/C2
b) 4.039E+09 N/C2
c) 4.443E+09 N/C2
d) 4.887E+09 N/C2
e) 5.376E+09 N/C2

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

QB153089888048

1)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=6\times 10^{-7}{\text{m}}}$.what angle does the force on ${\displaystyle q_{2}}$ make above the ${\displaystyle -x}$ axis if ${\displaystyle q_{1}=3e}$, ${\displaystyle q_{2}=-7e}$, and ${\displaystyle q_{3}=4e}$?
-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

2)  ${\displaystyle E(z)=\int _{0}^{R}f(r',z)dr'}$
is an integral that calculates the magnitude of the electric field at a distance ${\displaystyle z}$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is ${\displaystyle R=2.0{\text{ m}}}$ and the surface charge density is ${\displaystyle \sigma =9{\text{ nC/m}}^{3}}$. Evaluate ${\displaystyle f(r',z)}$ at ${\displaystyle r'=1.2{\text{ m}}}$.

-a) 8.933E+00 V/m2
-b) 9.826E+00 V/m2
+c) 1.081E+01 V/m2
-d) 1.189E+01 V/m2
-e) 1.308E+01 V/m2
3)
A ring is uniformly charged with a net charge of 7 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=0.34 m (on axis) away from the loop's center?
-a) 3.672E+09 N/C2
-b) 4.039E+09 N/C2
-c) 4.443E+09 N/C2
+d) 4.887E+09 N/C2
-e) 5.376E+09 N/C2

### QB:Ch 5:V1

QB153089888048

1)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=6\times 10^{-7}{\text{m}}}$.what angle does the force on ${\displaystyle q_{2}}$ make above the ${\displaystyle -x}$ axis if ${\displaystyle q_{1}=3e}$, ${\displaystyle q_{2}=-7e}$, and ${\displaystyle q_{3}=4e}$?
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
2)
A ring is uniformly charged with a net charge of 7 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=0.34 m (on axis) away from the loop's center?
a) 3.672E+09 N/C2
b) 4.039E+09 N/C2
c) 4.443E+09 N/C2
d) 4.887E+09 N/C2
e) 5.376E+09 N/C2

3)  ${\displaystyle E(z)=\int _{0}^{R}f(r',z)dr'}$
is an integral that calculates the magnitude of the electric field at a distance ${\displaystyle z}$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is ${\displaystyle R=6.9{\text{ m}}}$ and the surface charge density is ${\displaystyle \sigma =9{\text{ nC/m}}^{3}}$. Evaluate ${\displaystyle f(r',z)}$ at ${\displaystyle r'=4.3{\text{ m}}}$.

a) 8.924E-01 V/m2
b) 9.816E-01 V/m2
c) 1.080E+00 V/m2
d) 1.188E+00 V/m2
e) 1.307E+00 V/m2

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

QB153089888048

1)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=6\times 10^{-7}{\text{m}}}$.what angle does the force on ${\displaystyle q_{2}}$ make above the ${\displaystyle -x}$ axis if ${\displaystyle q_{1}=3e}$, ${\displaystyle q_{2}=-7e}$, and ${\displaystyle q_{3}=4e}$?
-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
2)
A ring is uniformly charged with a net charge of 7 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=0.34 m (on axis) away from the loop's center?
-a) 3.672E+09 N/C2
-b) 4.039E+09 N/C2
-c) 4.443E+09 N/C2
+d) 4.887E+09 N/C2
-e) 5.376E+09 N/C2

3)  ${\displaystyle E(z)=\int _{0}^{R}f(r',z)dr'}$
is an integral that calculates the magnitude of the electric field at a distance ${\displaystyle z}$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is ${\displaystyle R=6.9{\text{ m}}}$ and the surface charge density is ${\displaystyle \sigma =9{\text{ nC/m}}^{3}}$. Evaluate ${\displaystyle f(r',z)}$ at ${\displaystyle r'=4.3{\text{ m}}}$.

-a) 8.924E-01 V/m2
-b) 9.816E-01 V/m2
+c) 1.080E+00 V/m2
-d) 1.188E+00 V/m2
-e) 1.307E+00 V/m2

### QB:Ch 5:V2

QB153089888048

1)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=2\times 10^{-7}{\text{m}}}$.what angle does the force on ${\displaystyle q_{2}}$ make above the ${\displaystyle -x}$ axis if ${\displaystyle q_{1}=2e}$, ${\displaystyle q_{2}=-9e}$, and ${\displaystyle q_{3}=4e}$?
a) 5.243E+01 degrees
b) 5.767E+01 degrees
c) 6.343E+01 degrees
d) 6.978E+01 degrees
e) 7.676E+01 degrees

2)  ${\displaystyle E(z)=\int _{0}^{R}f(r',z)dr'}$
is an integral that calculates the magnitude of the electric field at a distance ${\displaystyle z}$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is ${\displaystyle R=1.8{\text{ m}}}$ and the surface charge density is ${\displaystyle \sigma =3{\text{ nC/m}}^{3}}$. Evaluate ${\displaystyle f(r',z)}$ at ${\displaystyle r'=1.1{\text{ m}}}$.

a) 7.517E+00 V/m2
b) 8.269E+00 V/m2
c) 9.096E+00 V/m2
d) 1.001E+01 V/m2
e) 1.101E+01 V/m2
3)
A ring is uniformly charged with a net charge of 7 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=1.1 m (on axis) away from the loop's center?
a) 8.336E+09 N/C2
b) 9.170E+09 N/C2
c) 1.009E+10 N/C2
d) 1.110E+10 N/C2
e) 1.220E+10 N/C2

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

QB153089888048

1)
Three small charged objects are placed as shown, where ${\displaystyle b=2a}$, and ${\displaystyle a=2\times 10^{-7}{\text{m}}}$.what angle does the force on ${\displaystyle q_{2}}$ make above the ${\displaystyle -x}$ axis if ${\displaystyle q_{1}=2e}$, ${\displaystyle q_{2}=-9e}$, and ${\displaystyle q_{3}=4e}$?
-a) 5.243E+01 degrees
-b) 5.767E+01 degrees
+c) 6.343E+01 degrees
-d) 6.978E+01 degrees
-e) 7.676E+01 degrees

2)  ${\displaystyle E(z)=\int _{0}^{R}f(r',z)dr'}$
is an integral that calculates the magnitude of the electric field at a distance ${\displaystyle z}$ fromthe center of a thin circular disk as measured along a line normal to the plane of the disk. The disk's radius is ${\displaystyle R=1.8{\text{ m}}}$ and the surface charge density is ${\displaystyle \sigma =3{\text{ nC/m}}^{3}}$. Evaluate ${\displaystyle f(r',z)}$ at ${\displaystyle r'=1.1{\text{ m}}}$.

-a) 7.517E+00 V/m2
-b) 8.269E+00 V/m2
-c) 9.096E+00 V/m2
-d) 1.001E+01 V/m2
+e) 1.101E+01 V/m2
3)
A ring is uniformly charged with a net charge of 7 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=1.1 m (on axis) away from the loop's center?
+a) 8.336E+09 N/C2
-b) 9.170E+09 N/C2
-c) 1.009E+10 N/C2
-d) 1.110E+10 N/C2
-e) 1.220E+10 N/C2

### QB:Ch 6:V0

QB153089888048

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=2.4 m. The other four surfaces are rectangles in y=y0=1.1 m, y=y1=4.8 m, z=z0=1.8 m, and z=z1=4.8 m. The surfaces in the yz plane each have area 11.0m2. Those in the xy plane have area 8.9m2 ,and those in the zx plane have area 7.2m2. An electric field has the xyz components (0, 5.9, 8.9) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 2.901E+01 N·m2/C
b) 3.192E+01 N·m2/C
c) 3.511E+01 N·m2/C
d) 3.862E+01 N·m2/C
e) 4.248E+01 N·m2/C

2) A non-conducting sphere of radius R=3.9 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 2.6 m from the center?

a) 3.821E+02 N/C
b) 4.203E+02 N/C
c) 4.624E+02 N/C
d) 5.086E+02 N/C
e) 5.594E+02 N/C

3) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 9.7 nano-Coulombs. What is the magnitude of the electric field at a distance of 4.4 m from the center of the shells?

a) 1.491E+01 N/C
b) 1.640E+01 N/C
c) 1.804E+01 N/C
d) 1.984E+01 N/C
e) 2.182E+01 N/C

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

QB153089888048

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=2.4 m. The other four surfaces are rectangles in y=y0=1.1 m, y=y1=4.8 m, z=z0=1.8 m, and z=z1=4.8 m. The surfaces in the yz plane each have area 11.0m2. Those in the xy plane have area 8.9m2 ,and those in the zx plane have area 7.2m2. An electric field has the xyz components (0, 5.9, 8.9) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
-a) 2.901E+01 N·m2/C
-b) 3.192E+01 N·m2/C
-c) 3.511E+01 N·m2/C
-d) 3.862E+01 N·m2/C
+e) 4.248E+01 N·m2/C

2) A non-conducting sphere of radius R=3.9 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 2.6 m from the center?

-a) 3.821E+02 N/C
-b) 4.203E+02 N/C
-c) 4.624E+02 N/C
+d) 5.086E+02 N/C
-e) 5.594E+02 N/C

3) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 9.7 nano-Coulombs. What is the magnitude of the electric field at a distance of 4.4 m from the center of the shells?

-a) 1.491E+01 N/C
-b) 1.640E+01 N/C
+c) 1.804E+01 N/C
-d) 1.984E+01 N/C
-e) 2.182E+01 N/C

### QB:Ch 6:V1

QB153089888048

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

a) 2.579E+02 N/C
b) 2.837E+02 N/C
c) 3.121E+02 N/C
d) 3.433E+02 N/C
e) 3.776E+02 N/C

3) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 9.0 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.5 m from the center of the shells?

a) 9.144E+00 N/C
b) 1.006E+01 N/C
c) 1.106E+01 N/C
d) 1.217E+01 N/C
e) 1.339E+01 N/C

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

QB153089888048

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

-a) 2.579E+02 N/C
+b) 2.837E+02 N/C
-c) 3.121E+02 N/C
-d) 3.433E+02 N/C
-e) 3.776E+02 N/C

3) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 9.0 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.5 m from the center of the shells?

-a) 9.144E+00 N/C
-b) 1.006E+01 N/C
-c) 1.106E+01 N/C
-d) 1.217E+01 N/C
+e) 1.339E+01 N/C

### QB:Ch 6:V2

QB153089888048

1) A non-conducting sphere of radius R=3.3 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 1.5 m from the center?

a) 1.123E+02 N/C
b) 1.235E+02 N/C
c) 1.358E+02 N/C
d) 1.494E+02 N/C
e) 1.644E+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=1.4 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=5.6 m, z=z0=1.7 m, and z=z1=4.5 m. The surfaces in the yz plane each have area 12.0m2. Those in the xy plane have area 6.0m2 ,and those in the zx plane have area 3.9m2. An electric field has the xyz components (0, 6.5, 9.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
a) 1.740E+01 N·m2/C
b) 1.914E+01 N·m2/C
c) 2.106E+01 N·m2/C
d) 2.316E+01 N·m2/C
e) 2.548E+01 N·m2/C

3) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 9.0 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.5 m from the center of the shells?

a) 9.144E+00 N/C
b) 1.006E+01 N/C
c) 1.106E+01 N/C
d) 1.217E+01 N/C
e) 1.339E+01 N/C

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

QB153089888048

1) A non-conducting sphere of radius R=3.3 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 1.5 m from the center?

-a) 1.123E+02 N/C
-b) 1.235E+02 N/C
+c) 1.358E+02 N/C
-d) 1.494E+02 N/C
-e) 1.644E+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=1.4 m. The other four surfaces are rectangles in y=y0=1.3 m, y=y1=5.6 m, z=z0=1.7 m, and z=z1=4.5 m. The surfaces in the yz plane each have area 12.0m2. Those in the xy plane have area 6.0m2 ,and those in the zx plane have area 3.9m2. An electric field has the xyz components (0, 6.5, 9.8) N/C. What is the magnitude (absolute value) of the electric flux through a surface aligned parallel to the xz plane?
-a) 1.740E+01 N·m2/C
-b) 1.914E+01 N·m2/C
-c) 2.106E+01 N·m2/C
-d) 2.316E+01 N·m2/C
+e) 2.548E+01 N·m2/C

3) Five concentric spherical shells have radius of exactly (1m, 2m, 3m, 4m, 5m).Each is uniformly charged with 9.0 nano-Coulombs. What is the magnitude of the electric field at a distance of 5.5 m from the center of the shells?

-a) 9.144E+00 N/C
-b) 1.006E+01 N/C
-c) 1.106E+01 N/C
-d) 1.217E+01 N/C
+e) 1.339E+01 N/C

### QB:Ch 7:V0

QB153089888048

1) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=61 V is x2 + y2 + z2 = R2, where R=

a) 1.107E+00 m
b) 1.218E+00 m
c) 1.339E+00 m
d) 1.473E+00 m
e) 1.621E+00 m
2)
An electron gun has parallel plates separated by 4.36 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.816 μC charge that gets between the plates?
a) 2.212E-01 N
b) 2.433E-01 N
c) 2.676E-01 N
d) 2.944E-01 N
e) 3.238E-01 N

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 83 V.

a) 4.466E+06 m/s
b) 4.912E+06 m/s
c) 5.403E+06 m/s
d) 5.944E+06 m/s
e) 6.538E+06 m/s

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

QB153089888048

1) If a 11 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=61 V is x2 + y2 + z2 = R2, where R=

-a) 1.107E+00 m
-b) 1.218E+00 m
-c) 1.339E+00 m
-d) 1.473E+00 m
+e) 1.621E+00 m
2)
An electron gun has parallel plates separated by 4.36 cm and gives electrons 13 keV of energy. What force would the field between the plates exert on a 0.816 μC charge that gets between the plates?
-a) 2.212E-01 N
+b) 2.433E-01 N
-c) 2.676E-01 N
-d) 2.944E-01 N
-e) 3.238E-01 N

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 83 V.

-a) 4.466E+06 m/s
-b) 4.912E+06 m/s
+c) 5.403E+06 m/s
-d) 5.944E+06 m/s
-e) 6.538E+06 m/s

### QB:Ch 7:V1

QB153089888048

1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 19 V.

a) 1.942E+06 m/s
b) 2.137E+06 m/s
c) 2.350E+06 m/s
d) 2.585E+06 m/s
e) 2.844E+06 m/s

2) If a 26 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=21 V is x2 + y2 + z2 = R2, where R=

a) 8.360E+00 m
b) 9.196E+00 m
c) 1.012E+01 m
d) 1.113E+01 m
e) 1.224E+01 m
3)
An electron gun has parallel plates separated by 3.68 cm and gives electrons 54 keV of energy. What force would the field between the plates exert on a 0.181 μC charge that gets between the plates?
a) 2.656E-01 N
b) 2.922E-01 N
c) 3.214E-01 N
d) 3.535E-01 N
e) 3.889E-01 N

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

QB153089888048

1) Calculate the final speed of a free electron accelerated from rest through a potential difference of 19 V.

-a) 1.942E+06 m/s
-b) 2.137E+06 m/s
-c) 2.350E+06 m/s
+d) 2.585E+06 m/s
-e) 2.844E+06 m/s

2) If a 26 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=21 V is x2 + y2 + z2 = R2, where R=

-a) 8.360E+00 m
-b) 9.196E+00 m
-c) 1.012E+01 m
+d) 1.113E+01 m
-e) 1.224E+01 m
3)
An electron gun has parallel plates separated by 3.68 cm and gives electrons 54 keV of energy. What force would the field between the plates exert on a 0.181 μC charge that gets between the plates?
+a) 2.656E-01 N
-b) 2.922E-01 N
-c) 3.214E-01 N
-d) 3.535E-01 N
-e) 3.889E-01 N

### QB:Ch 7:V2

QB153089888048

1) If a 28 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=77 V is x2 + y2 + z2 = R2, where R=

a) 2.701E+00 m
b) 2.971E+00 m
c) 3.268E+00 m
d) 3.595E+00 m
e) 3.955E+00 m
2)
An electron gun has parallel plates separated by 4.85 cm and gives electrons 36 keV of energy. What force would the field between the plates exert on a 0.663 μC charge that gets between the plates?
a) 3.697E-01 N
b) 4.067E-01 N
c) 4.474E-01 N
d) 4.921E-01 N
e) 5.413E-01 N

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.

a) 3.617E+06 m/s
b) 3.979E+06 m/s
c) 4.376E+06 m/s
d) 4.814E+06 m/s
e) 5.296E+06 m/s

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

QB153089888048

1) If a 28 nC charge is situated at the origin, the equipotential surface for V(x,y,z)=77 V is x2 + y2 + z2 = R2, where R=

-a) 2.701E+00 m
-b) 2.971E+00 m
+c) 3.268E+00 m
-d) 3.595E+00 m
-e) 3.955E+00 m
2)
An electron gun has parallel plates separated by 4.85 cm and gives electrons 36 keV of energy. What force would the field between the plates exert on a 0.663 μC charge that gets between the plates?
-a) 3.697E-01 N
-b) 4.067E-01 N
-c) 4.474E-01 N
+d) 4.921E-01 N
-e) 5.413E-01 N

3) Calculate the final speed of a free electron accelerated from rest through a potential difference of 45 V.

-a) 3.617E+06 m/s
+b) 3.979E+06 m/s
-c) 4.376E+06 m/s
-d) 4.814E+06 m/s
-e) 5.296E+06 m/s

### QB:Ch 8:V0

QB153089888048

1)
What is the net capacitance if C1=2.49 μF, C2=4.24 μF, and C3=2.96 μF in the configuration shown?
a) 4.117E+00 μF
b) 4.529E+00 μF
c) 4.982E+00 μF
d) 5.480E+00 μF
e) 6.028E+00 μF

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)
In the figure shown C1=15.7 μF, C2=2.87 μF, and C3=5.46 μF. The voltage source provides ε=5.38 V. What is the energy stored in C2?
a) 6.890E+00 μJ
b) 7.579E+00 μJ
c) 8.337E+00 μJ
d) 9.171E+00 μJ
e) 1.009E+01 μJ

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

QB153089888048

1)
What is the net capacitance if C1=2.49 μF, C2=4.24 μF, and C3=2.96 μF in the configuration shown?
-a) 4.117E+00 μF
+b) 4.529E+00 μF
-c) 4.982E+00 μF
-d) 5.480E+00 μF
-e) 6.028E+00 μF

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)
In the figure shown C1=15.7 μF, C2=2.87 μF, and C3=5.46 μF. The voltage source provides ε=5.38 V. What is the energy stored in C2?
-a) 6.890E+00 μJ
-b) 7.579E+00 μJ
-c) 8.337E+00 μJ
-d) 9.171E+00 μJ
+e) 1.009E+01 μJ

### QB:Ch 8:V1

QB153089888048

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

a) 1.368E+01 μC
b) 1.505E+01 μC
c) 1.655E+01 μC
d) 1.820E+01 μC
e) 2.003E+01 μC
2)
In the figure shown C1=17.2 μF, C2=2.71 μF, and C3=5.28 μF. The voltage source provides ε=13.2 V. What is the energy stored in C2?
a) 2.443E+01 μJ
b) 2.687E+01 μJ
c) 2.955E+01 μJ
d) 3.251E+01 μJ
e) 3.576E+01 μJ
3)
What is the net capacitance if C1=4.55 μF, C2=4.39 μF, and C3=3.32 μF in the configuration shown?
a) 4.173E+00 μF
b) 4.590E+00 μF
c) 5.049E+00 μF
d) 5.554E+00 μF
e) 6.110E+00 μF

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

QB153089888048

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

-a) 1.368E+01 μC
-b) 1.505E+01 μC
-c) 1.655E+01 μC
+d) 1.820E+01 μC
-e) 2.003E+01 μC
2)
In the figure shown C1=17.2 μF, C2=2.71 μF, and C3=5.28 μF. The voltage source provides ε=13.2 V. What is the energy stored in C2?
+a) 2.443E+01 μJ
-b) 2.687E+01 μJ
-c) 2.955E+01 μJ
-d) 3.251E+01 μJ
-e) 3.576E+01 μJ
3)
What is the net capacitance if C1=4.55 μF, C2=4.39 μF, and C3=3.32 μF in the configuration shown?
-a) 4.173E+00 μF
-b) 4.590E+00 μF
-c) 5.049E+00 μF
+d) 5.554E+00 μF
-e) 6.110E+00 μF

### QB:Ch 8:V2

QB153089888048

1)
In the figure shown C1=19.2 μF, C2=2.71 μF, and C3=5.52 μF. The voltage source provides ε=15.0 V. What is the energy stored in C2?
a) 2.138E+01 μJ
b) 2.352E+01 μJ
c) 2.587E+01 μJ
d) 2.845E+01 μJ
e) 3.130E+01 μJ

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

a) 2.450E+01 μC
b) 2.695E+01 μC
c) 2.965E+01 μC
d) 3.261E+01 μC
e) 3.587E+01 μC
3)
What is the net capacitance if C1=2.3 μF, C2=2.84 μF, and C3=3.41 μF in the configuration shown?
a) 4.255E+00 μF
b) 4.681E+00 μF
c) 5.149E+00 μF
d) 5.664E+00 μF
e) 6.230E+00 μF

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

QB153089888048

1)
In the figure shown C1=19.2 μF, C2=2.71 μF, and C3=5.52 μF. The voltage source provides ε=15.0 V. What is the energy stored in C2?
-a) 2.138E+01 μJ
-b) 2.352E+01 μJ
-c) 2.587E+01 μJ
+d) 2.845E+01 μJ
-e) 3.130E+01 μJ

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

-a) 2.450E+01 μC
+b) 2.695E+01 μC
-c) 2.965E+01 μC
-d) 3.261E+01 μC
-e) 3.587E+01 μC
3)
What is the net capacitance if C1=2.3 μF, C2=2.84 μF, and C3=3.41 μF in the configuration shown?
-a) 4.255E+00 μF
+b) 4.681E+00 μF
-c) 5.149E+00 μF
-d) 5.664E+00 μF
-e) 6.230E+00 μF

### QB:Ch 9:V0

QB153089888048

1) Calculate the drift speed of electrons in a copper wire with a diameter of 5.82 mm carrying a 9.11 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 1.926E-05 m/s
b) 2.118E-05 m/s
c) 2.330E-05 m/s
d) 2.563E-05 m/s
e) 2.819E-05 m/s

2) A make-believe metal has a density of 1.580E+04 kg/m3 and an atomic mass of 41.5 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

a) 2.292E+29 e/m3
b) 2.521E+29 e/m3
c) 2.773E+29 e/m3
d) 3.051E+29 e/m3
e) 3.356E+29 e/m3

3) The charge passing a plane intersecting a wire is ${\displaystyle Q_{M}=\left(1-e^{t/\tau }\right)}$, where ${\displaystyle Q_{M}}$=18 C and ${\displaystyle \tau =}$0.0169 s. What is the current at ${\displaystyle t=}$0.0137 s?

a) 3.913E+02 A
b) 4.305E+02 A
c) 4.735E+02 A
d) 5.209E+02 A
e) 5.729E+02 A

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

QB153089888048

1) Calculate the drift speed of electrons in a copper wire with a diameter of 5.82 mm carrying a 9.11 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

-a) 1.926E-05 m/s
-b) 2.118E-05 m/s
-c) 2.330E-05 m/s
+d) 2.563E-05 m/s
-e) 2.819E-05 m/s

2) A make-believe metal has a density of 1.580E+04 kg/m3 and an atomic mass of 41.5 g/mol. Taking Avogadro's number to be 6.020E+23 atoms/mol and assuming one free electron per atom, calculate the number of free electrons per cubic meter.

+a) 2.292E+29 e/m3
-b) 2.521E+29 e/m3
-c) 2.773E+29 e/m3
-d) 3.051E+29 e/m3
-e) 3.356E+29 e/m3

3) The charge passing a plane intersecting a wire is ${\displaystyle Q_{M}=\left(1-e^{t/\tau }\right)}$, where ${\displaystyle Q_{M}}$=18 C and ${\displaystyle \tau =}$0.0169 s. What is the current at ${\displaystyle t=}$0.0137 s?

-a) 3.913E+02 A
-b) 4.305E+02 A
+c) 4.735E+02 A
-d) 5.209E+02 A
-e) 5.729E+02 A

### QB:Ch 9:V1

QB153089888048

1) Calculate the drift speed of electrons in a copper wire with a diameter of 5.33 mm carrying a 5.1 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 1.711E-05 m/s
b) 1.882E-05 m/s
c) 2.070E-05 m/s
d) 2.277E-05 m/s
e) 2.505E-05 m/s

2) A make-believe metal has a density of 2.670E+03 kg/m3 and an atomic mass of 40.9 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) 3.930E+28 e/m3
b) 4.323E+28 e/m3
c) 4.755E+28 e/m3
d) 5.231E+28 e/m3
e) 5.754E+28 e/m3

3) The charge passing a plane intersecting a wire is ${\displaystyle Q_{M}=\left(1-e^{t/\tau }\right)}$, where ${\displaystyle Q_{M}}$=91 C and ${\displaystyle \tau =}$0.0156 s. What is the current at ${\displaystyle t=}$0.0131 s?

a) 2.082E+03 A
b) 2.290E+03 A
c) 2.519E+03 A
d) 2.771E+03 A
e) 3.048E+03 A

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

QB153089888048

1) Calculate the drift speed of electrons in a copper wire with a diameter of 5.33 mm carrying a 5.1 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

+a) 1.711E-05 m/s
-b) 1.882E-05 m/s
-c) 2.070E-05 m/s
-d) 2.277E-05 m/s
-e) 2.505E-05 m/s

2) A make-believe metal has a density of 2.670E+03 kg/m3 and an atomic mass of 40.9 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) 3.930E+28 e/m3
-b) 4.323E+28 e/m3
-c) 4.755E+28 e/m3
-d) 5.231E+28 e/m3
-e) 5.754E+28 e/m3

3) The charge passing a plane intersecting a wire is ${\displaystyle Q_{M}=\left(1-e^{t/\tau }\right)}$, where ${\displaystyle Q_{M}}$=91 C and ${\displaystyle \tau =}$0.0156 s. What is the current at ${\displaystyle t=}$0.0131 s?

-a) 2.082E+03 A
-b) 2.290E+03 A
+c) 2.519E+03 A
-d) 2.771E+03 A
-e) 3.048E+03 A

### QB:Ch 9:V2

QB153089888048

1) The charge passing a plane intersecting a wire is ${\displaystyle Q_{M}=\left(1-e^{t/\tau }\right)}$, where ${\displaystyle Q_{M}}$=23 C and ${\displaystyle \tau =}$0.0204 s. What is the current at ${\displaystyle t=}$0.0106 s?

a) 6.096E+02 A
b) 6.706E+02 A
c) 7.376E+02 A
d) 8.114E+02 A
e) 8.925E+02 A

2) A make-believe metal has a density of 8.690E+03 kg/m3 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/m3
b) 1.189E+29 e/m3
c) 1.308E+29 e/m3
d) 1.439E+29 e/m3
e) 1.582E+29 e/m3

3) Calculate the drift speed of electrons in a copper wire with a diameter of 2.17 mm carrying a 19.4 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

a) 3.569E-04 m/s
b) 3.926E-04 m/s
c) 4.319E-04 m/s
d) 4.750E-04 m/s
e) 5.226E-04 m/s

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

QB153089888048

1) The charge passing a plane intersecting a wire is ${\displaystyle Q_{M}=\left(1-e^{t/\tau }\right)}$, where ${\displaystyle Q_{M}}$=23 C and ${\displaystyle \tau =}$0.0204 s. What is the current at ${\displaystyle t=}$0.0106 s?

-a) 6.096E+02 A
+b) 6.706E+02 A
-c) 7.376E+02 A
-d) 8.114E+02 A
-e) 8.925E+02 A

2) A make-believe metal has a density of 8.690E+03 kg/m3 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/m3
-b) 1.189E+29 e/m3
-c) 1.308E+29 e/m3
-d) 1.439E+29 e/m3
-e) 1.582E+29 e/m3

3) Calculate the drift speed of electrons in a copper wire with a diameter of 2.17 mm carrying a 19.4 A current, given that there is one free electron per copper atom. The density of copper is 8.80 x 103kg/m3 and the atomic mass of copper is 63.54 g/mol. Avagadro's number is 6.02 x 1023atoms/mol.

-a) 3.569E-04 m/s
+b) 3.926E-04 m/s
-c) 4.319E-04 m/s
-d) 4.750E-04 m/s
-e) 5.226E-04 m/s

### QB:Ch 10:V0

QB153089888048

1)
In the circuit shown V=13.5 V, R1=2.66 Ω, R2=7.29 Ω, and R3=14.5 Ω. What is the power dissipated by R2?
a) 7.123E+00 W
b) 7.835E+00 W
c) 8.618E+00 W
d) 9.480E+00 W
e) 1.043E+01 W
2)
Two sources of emf ε1=40.6 V, and ε2=13.5 V are oriented as shownin the circuit. The resistances are R1=4.35 kΩ and R2=2.44 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.73 mA and I4=0.78 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 1.332E+00 mA
b) 1.465E+00 mA
c) 1.612E+00 mA
d) 1.773E+00 mA
e) 1.950E+00 mA
3)
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 301 V. If the combined external and internal resistance is 245 &Omega and the capacitance is 63 mF, how long will it take for the capacitor's voltage to reach 192.0 V?
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

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

QB153089888048

1)
In the circuit shown V=13.5 V, R1=2.66 Ω, R2=7.29 Ω, and R3=14.5 Ω. What is the power dissipated by R2?
-a) 7.123E+00 W
-b) 7.835E+00 W
-c) 8.618E+00 W
-d) 9.480E+00 W
+e) 1.043E+01 W
2)
Two sources of emf ε1=40.6 V, and ε2=13.5 V are oriented as shownin the circuit. The resistances are R1=4.35 kΩ and R2=2.44 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=2.73 mA and I4=0.78 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
-a) 1.332E+00 mA
-b) 1.465E+00 mA
-c) 1.612E+00 mA
-d) 1.773E+00 mA
+e) 1.950E+00 mA
3)
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 301 V. If the combined external and internal resistance is 245 &Omega and the capacitance is 63 mF, how long will it take for the capacitor's voltage to reach 192.0 V?
-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

### QB:Ch 10:V1

QB153089888048

1)
Two sources of emf ε1=29.5 V, and ε2=11.0 V are oriented as shownin the circuit. The resistances are R1=2.45 kΩ and R2=1.96 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.03 mA and I4=0.783 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
a) 2.247E+00 mA
b) 2.472E+00 mA
c) 2.719E+00 mA
d) 2.991E+00 mA
e) 3.290E+00 mA
2)
In the circuit shown V=16.1 V, R1=1.18 Ω, R2=5.28 Ω, and R3=14.8 Ω. What is the power dissipated by R2?
a) 2.172E+01 W
b) 2.389E+01 W
c) 2.628E+01 W
d) 2.891E+01 W
e) 3.180E+01 W
3)
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 558 V. If the combined external and internal resistance is 198 &Omega and the capacitance is 80 mF, how long will it take for the capacitor's voltage to reach 345.0 V?
a) 1.146E+01 s
b) 1.261E+01 s
c) 1.387E+01 s
d) 1.525E+01 s
e) 1.678E+01 s

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

QB153089888048

1)
Two sources of emf ε1=29.5 V, and ε2=11.0 V are oriented as shownin the circuit. The resistances are R1=2.45 kΩ and R2=1.96 kΩ. Three other currents enter and exit or exit from portions of the circuit that lie outside the dotted rectangle and are not shown. I3=3.03 mA and I4=0.783 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
+a) 2.247E+00 mA
-b) 2.472E+00 mA
-c) 2.719E+00 mA
-d) 2.991E+00 mA
-e) 3.290E+00 mA
2)
In the circuit shown V=16.1 V, R1=1.18 Ω, R2=5.28 Ω, and R3=14.8 Ω. What is the power dissipated by R2?
-a) 2.172E+01 W
-b) 2.389E+01 W
-c) 2.628E+01 W
+d) 2.891E+01 W
-e) 3.180E+01 W
3)
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 558 V. If the combined external and internal resistance is 198 &Omega and the capacitance is 80 mF, how long will it take for the capacitor's voltage to reach 345.0 V?
-a) 1.146E+01 s
-b) 1.261E+01 s
-c) 1.387E+01 s
+d) 1.525E+01 s
-e) 1.678E+01 s

### QB:Ch 10:V2

QB153089888048

1)
Two sources of emf ε1=13.6 V, and ε2=6.53 V are oriented as shownin the circuit. The resistances are R1=2.89 kΩ and R2=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. I3=1.11 mA and I4=0.311 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
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
2)
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 439 V. If the combined external and internal resistance is 221 &Omega and the capacitance is 54 mF, how long will it take for the capacitor's voltage to reach 350.0 V?
a) 1.905E+01 s
b) 2.095E+01 s
c) 2.304E+01 s
d) 2.535E+01 s
e) 2.788E+01 s
3)
In the circuit shown V=11.8 V, R1=2.38 Ω, R2=5.11 Ω, and R3=14.6 Ω. What is the power dissipated by R2?
a) 8.489E+00 W
b) 9.338E+00 W
c) 1.027E+01 W
d) 1.130E+01 W
e) 1.243E+01 W

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

QB153089888048

1)
Two sources of emf ε1=13.6 V, and ε2=6.53 V are oriented as shownin the circuit. The resistances are R1=2.89 kΩ and R2=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. I3=1.11 mA and I4=0.311 mA enter and leave near R2, while the current I5 exits near R1.What is the magnitude (absolute value) of I5?
-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
2)
In the circuit shown the voltage across the capaciator is zero at time t=0 when a switch is closed putting the capacitor into contact with a power supply of 439 V. If the combined external and internal resistance is 221 &Omega and the capacitance is 54 mF, how long will it take for the capacitor's voltage to reach 350.0 V?
+a) 1.905E+01 s
-b) 2.095E+01 s
-c) 2.304E+01 s
-d) 2.535E+01 s
-e) 2.788E+01 s
3)
In the circuit shown V=11.8 V, R1=2.38 Ω, R2=5.11 Ω, and R3=14.6 Ω. What is the power dissipated by R2?
-a) 8.489E+00 W
-b) 9.338E+00 W
+c) 1.027E+01 W
-d) 1.130E+01 W
-e) 1.243E+01 W

### QB:Ch 11:V0

QB153089888048

1) A charged particle in a magnetic field of 3.720E-04 T is moving perpendicular to the magnetic field with a speed of 4.780E+05 m/s. What is the period of orbit if orbital radius is 0.868 m?

a) 7.793E-06 s
b) 8.572E-06 s
c) 9.429E-06 s
d) 1.037E-05 s
e) 1.141E-05 s

2) A circular current loop of radius 1.67 cm carries a current of 3.81 mA. What is the magnitude of the torque if the dipole is oriented at 40 ° to a uniform magnetic fied of 0.884 T?

a) 1.568E-06 N m
b) 1.724E-06 N m
c) 1.897E-06 N m
d) 2.087E-06 N m
e) 2.295E-06 N m

3) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.78 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.43 i + 8.8 j  + 4.16 k) x 104 m/s?

a) 1.064E-13 N
b) 1.171E-13 N
c) 1.288E-13 N
d) 1.417E-13 N
e) 1.558E-13 N

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

QB153089888048

1) A charged particle in a magnetic field of 3.720E-04 T is moving perpendicular to the magnetic field with a speed of 4.780E+05 m/s. What is the period of orbit if orbital radius is 0.868 m?

-a) 7.793E-06 s
-b) 8.572E-06 s
-c) 9.429E-06 s
-d) 1.037E-05 s
+e) 1.141E-05 s

2) A circular current loop of radius 1.67 cm carries a current of 3.81 mA. What is the magnitude of the torque if the dipole is oriented at 40 ° to a uniform magnetic fied of 0.884 T?

-a) 1.568E-06 N m
-b) 1.724E-06 N m
+c) 1.897E-06 N m
-d) 2.087E-06 N m
-e) 2.295E-06 N m

3) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 3.78 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(1.43 i + 8.8 j  + 4.16 k) x 104 m/s?

+a) 1.064E-13 N
-b) 1.171E-13 N
-c) 1.288E-13 N
-d) 1.417E-13 N
-e) 1.558E-13 N

### QB:Ch 11:V1

QB153089888048

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

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

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.76 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.97 i + 8.52 j  + 9.46 k) x 104 m/s?

a) 2.199E-13 N
b) 2.419E-13 N
c) 2.661E-13 N
d) 2.927E-13 N
e) 3.220E-13 N

3) A charged particle in a magnetic field of 6.400E-04 T is moving perpendicular to the magnetic field with a speed of 1.360E+05 m/s. What is the period of orbit if orbital radius is 0.751 m?

a) 3.154E-05 s
b) 3.470E-05 s
c) 3.817E-05 s
d) 4.198E-05 s
e) 4.618E-05 s

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

QB153089888048

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

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

2) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.76 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(6.97 i + 8.52 j  + 9.46 k) x 104 m/s?

-a) 2.199E-13 N
-b) 2.419E-13 N
+c) 2.661E-13 N
-d) 2.927E-13 N
-e) 3.220E-13 N

3) A charged particle in a magnetic field of 6.400E-04 T is moving perpendicular to the magnetic field with a speed of 1.360E+05 m/s. What is the period of orbit if orbital radius is 0.751 m?

-a) 3.154E-05 s
+b) 3.470E-05 s
-c) 3.817E-05 s
-d) 4.198E-05 s
-e) 4.618E-05 s

### QB:Ch 11:V2

QB153089888048

1) A charged particle in a magnetic field of 3.720E-04 T is moving perpendicular to the magnetic field with a speed of 4.780E+05 m/s. What is the period of orbit if orbital radius is 0.868 m?

a) 7.793E-06 s
b) 8.572E-06 s
c) 9.429E-06 s
d) 1.037E-05 s
e) 1.141E-05 s

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

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

3) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.82 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(7.64 i + 4.85 j  + 6.02 k) x 104 m/s?

a) 1.386E-13 N
b) 1.524E-13 N
c) 1.676E-13 N
d) 1.844E-13 N
e) 2.029E-13 N

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

QB153089888048

1) A charged particle in a magnetic field of 3.720E-04 T is moving perpendicular to the magnetic field with a speed of 4.780E+05 m/s. What is the period of orbit if orbital radius is 0.868 m?

-a) 7.793E-06 s
-b) 8.572E-06 s
-c) 9.429E-06 s
-d) 1.037E-05 s
+e) 1.141E-05 s

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

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

3) An alpha-particle (q=3.2x10−19C) moves through a uniform magnetic field that is parallel to the positive z-axis with magnitude 9.82 T. What is the x-component of the force on the alpha-particle if it is moving with a velocity
(7.64 i + 4.85 j  + 6.02 k) x 104 m/s?

-a) 1.386E-13 N
+b) 1.524E-13 N
-c) 1.676E-13 N
-d) 1.844E-13 N
-e) 2.029E-13 N

### QB:Ch 12:V0

QB153089888048

1) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 26 turns per centimeter and the current applied to the solenoid is 533 mA, the net magnetic field is measured to be 1.31 T. What is the magnetic susceptibility for this case?

a) ${\displaystyle \chi {\text{ (chi) }}=}$ 7.512E+02
b) ${\displaystyle \chi {\text{ (chi) }}=}$ 8.264E+02
c) ${\displaystyle \chi {\text{ (chi) }}=}$ 9.090E+02
d) ${\displaystyle \chi {\text{ (chi) }}=}$ 9.999E+02
e) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.100E+03
2)
Three wires sit at the corners of a square of length 0.716 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 (1.94 A, 2.04 A, 2.41 A), respectively. What is the y-component of the magnetic field at point P?
a) By= 6.833E-05 T
b) By= 7.517E-05 T
c) By= 8.268E-05 T
d) By= 9.095E-05 T
e) By= 1.000E-04 T

3) A wire carries a current of 109 A in a circular arc with radius 1.26 cm swept through 71 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?

a) 2.908E+00 Tesla
b) 3.199E+00 Tesla
c) 3.519E+00 Tesla
d) 3.871E+00 Tesla
e) 4.258E+00 Tesla

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

QB153089888048

1) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 26 turns per centimeter and the current applied to the solenoid is 533 mA, the net magnetic field is measured to be 1.31 T. What is the magnetic susceptibility for this case?

+a) ${\displaystyle \chi {\text{ (chi) }}=}$ 7.512E+02
-b) ${\displaystyle \chi {\text{ (chi) }}=}$ 8.264E+02
-c) ${\displaystyle \chi {\text{ (chi) }}=}$ 9.090E+02
-d) ${\displaystyle \chi {\text{ (chi) }}=}$ 9.999E+02
-e) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.100E+03
2)
Three wires sit at the corners of a square of length 0.716 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 (1.94 A, 2.04 A, 2.41 A), respectively. What is the y-component of the magnetic field at point P?
-a) By= 6.833E-05 T
-b) By= 7.517E-05 T
+c) By= 8.268E-05 T
-d) By= 9.095E-05 T
-e) By= 1.000E-04 T

3) A wire carries a current of 109 A in a circular arc with radius 1.26 cm swept through 71 degrees. Assuming that the rest of the current is 100% shielded by mu-metal, what is the magnetic field at the center of the arc?

-a) 2.908E+00 Tesla
-b) 3.199E+00 Tesla
+c) 3.519E+00 Tesla
-d) 3.871E+00 Tesla
-e) 4.258E+00 Tesla

### QB:Ch 12:V1

QB153089888048

1)
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

2) A wire carries a current of 293 A in a circular arc with radius 1.75 cm swept through 71 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) 4.652E+00 Tesla
b) 5.117E+00 Tesla
c) 5.629E+00 Tesla
d) 6.192E+00 Tesla
e) 6.811E+00 Tesla

3) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 18 turns per centimeter and the current applied to the solenoid is 582 mA, the net magnetic field is measured to be 1.15 T. What is the magnetic susceptibility for this case?

a) ${\displaystyle \chi {\text{ (chi) }}=}$ 7.211E+02
b) ${\displaystyle \chi {\text{ (chi) }}=}$ 7.932E+02
c) ${\displaystyle \chi {\text{ (chi) }}=}$ 8.726E+02
d) ${\displaystyle \chi {\text{ (chi) }}=}$ 9.598E+02
e) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.056E+03

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

QB153089888048

1)
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

2) A wire carries a current of 293 A in a circular arc with radius 1.75 cm swept through 71 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) 4.652E+00 Tesla
-b) 5.117E+00 Tesla
-c) 5.629E+00 Tesla
-d) 6.192E+00 Tesla
+e) 6.811E+00 Tesla

3) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 18 turns per centimeter and the current applied to the solenoid is 582 mA, the net magnetic field is measured to be 1.15 T. What is the magnetic susceptibility for this case?

-a) ${\displaystyle \chi {\text{ (chi) }}=}$ 7.211E+02
-b) ${\displaystyle \chi {\text{ (chi) }}=}$ 7.932E+02
+c) ${\displaystyle \chi {\text{ (chi) }}=}$ 8.726E+02
-d) ${\displaystyle \chi {\text{ (chi) }}=}$ 9.598E+02
-e) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.056E+03

### QB:Ch 12:V2

QB153089888048

1) 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
2)
Three wires sit at the corners of a square of length 0.793 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 (1.32 A, 1.4 A, 2.27 A), respectively. What is the y-component of the magnetic field at point P?
a) By= 3.480E-05 T
b) By= 3.828E-05 T
c) By= 4.210E-05 T
d) By= 4.631E-05 T
e) By= 5.095E-05 T

3) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 22 turns per centimeter and the current applied to the solenoid is 568 mA, the net magnetic field is measured to be 1.29 T. What is the magnetic susceptibility for this case?

a) ${\displaystyle \chi {\text{ (chi) }}=}$ 8.205E+02
b) ${\displaystyle \chi {\text{ (chi) }}=}$ 9.026E+02
c) ${\displaystyle \chi {\text{ (chi) }}=}$ 9.928E+02
d) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.092E+03
e) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.201E+03

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

QB153089888048

1) 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
2)
Three wires sit at the corners of a square of length 0.793 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 (1.32 A, 1.4 A, 2.27 A), respectively. What is the y-component of the magnetic field at point P?
-a) By= 3.480E-05 T
-b) By= 3.828E-05 T
-c) By= 4.210E-05 T
-d) By= 4.631E-05 T
+e) By= 5.095E-05 T

3) A long coil is tightly wound around a (hypothetical) ferromagnetic cylinder. If n= 22 turns per centimeter and the current applied to the solenoid is 568 mA, the net magnetic field is measured to be 1.29 T. What is the magnetic susceptibility for this case?

+a) ${\displaystyle \chi {\text{ (chi) }}=}$ 8.205E+02
-b) ${\displaystyle \chi {\text{ (chi) }}=}$ 9.026E+02
-c) ${\displaystyle \chi {\text{ (chi) }}=}$ 9.928E+02
-d) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.092E+03
-e) ${\displaystyle \chi {\text{ (chi) }}=}$ 1.201E+03

### QB:Ch 13:V0

QB153089888048

1) A spatially uniform magnetic points in the z-direction and oscilates with time as ${\displaystyle {\vec {B}}(t)=B_{0}\sin \omega t}$ where ${\displaystyle B_{0}=}$3.11 T and ${\displaystyle \omega =}$1.150E+03 s−1. Suppose the electric field is always zero at point ${\displaystyle {\mathcal {O}}}$, and consider a circle of radius 0.171 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral ${\displaystyle \oint {\vec {B}}\cdot d{\vec {s}}}$ around the circle.

a) 2.887E+03 V
b) 3.176E+03 V
c) 3.493E+03 V
d) 3.843E+03 V
e) 4.227E+03 V
2)
A cylinder of height 1.3 cm and radius 6.01 cm is cut into a wedge as shown. Now imagine that the volume grows as θ increases while the radius R and height h remains constant. What is the volume's rate of change if point P is 3.61 cm from point O and moves at a speed of 2.11 cm/s? Assume that the wedge grows in such a way as the front face moves by rotating around the axis (that contains point O.)
--(Answer & Why this question is different.)
a) 1.372E+01 cm3/s
b) 1.509E+01 cm3/s
c) 1.660E+01 cm3/s
d) 1.826E+01 cm3/s
e) 2.009E+01 cm3/s

3) A long solenoid has a radius of 0.716 m and 96 turns per meter; its current decreases with time according to ${\displaystyle I_{0}e^{-\alpha t}}$, where ${\displaystyle I_{0}=}$9 A and ${\displaystyle \alpha =}$23 s−1.What is the induced electric fied at a distance 2.67 m from the axis at time t=0.0226 s ?

a) 1.426E-03 V/m
b) 1.568E-03 V/m
c) 1.725E-03 V/m
d) 1.897E-03 V/m
e) 2.087E-03 V/m

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

QB153089888048

1) A spatially uniform magnetic points in the z-direction and oscilates with time as ${\displaystyle {\vec {B}}(t)=B_{0}\sin \omega t}$ where ${\displaystyle B_{0}=}$3.11 T and ${\displaystyle \omega =}$1.150E+03 s−1. Suppose the electric field is always zero at point ${\displaystyle {\mathcal {O}}}$, and consider a circle of radius 0.171 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral ${\displaystyle \oint {\vec {B}}\cdot d{\vec {s}}}$ around the circle.

-a) 2.887E+03 V
-b) 3.176E+03 V
-c) 3.493E+03 V
+d) 3.843E+03 V
-e) 4.227E+03 V
2)
A cylinder of height 1.3 cm and radius 6.01 cm is cut into a wedge as shown. Now imagine that the volume grows as θ increases while the radius R and height h remains constant. What is the volume's rate of change if point P is 3.61 cm from point O and moves at a speed of 2.11 cm/s? Assume that the wedge grows in such a way as the front face moves by rotating around the axis (that contains point O.)
--(Answer & Why this question is different.)
+a) 1.372E+01 cm3/s
-b) 1.509E+01 cm3/s
-c) 1.660E+01 cm3/s
-d) 1.826E+01 cm3/s
-e) 2.009E+01 cm3/s

3) A long solenoid has a radius of 0.716 m and 96 turns per meter; its current decreases with time according to ${\displaystyle I_{0}e^{-\alpha t}}$, where ${\displaystyle I_{0}=}$9 A and ${\displaystyle \alpha =}$23 s−1.What is the induced electric fied at a distance 2.67 m from the axis at time t=0.0226 s ?

+a) 1.426E-03 V/m
-b) 1.568E-03 V/m
-c) 1.725E-03 V/m
-d) 1.897E-03 V/m
-e) 2.087E-03 V/m

### QB:Ch 13:V1

QB153089888048

1)
A cylinder of height 1.34 cm and radius 2.47 cm is cut into a wedge as shown. Now imagine that the volume grows as θ increases while the radius R and height h remains constant. What is the volume's rate of change if point P is 1.23 cm from point O and moves at a speed of 6.23 cm/s? Assume that the wedge grows in such a way as the front face moves by rotating around the axis (that contains point O.)
--(Answer & Why this question is different.)
a) 1.414E+01 cm3/s
b) 1.556E+01 cm3/s
c) 1.711E+01 cm3/s
d) 1.882E+01 cm3/s
e) 2.070E+01 cm3/s

2) A spatially uniform magnetic points in the z-direction and oscilates with time as ${\displaystyle {\vec {B}}(t)=B_{0}\sin \omega t}$ where ${\displaystyle B_{0}=}$2.25 T and ${\displaystyle \omega =}$8.280E+03 s−1. Suppose the electric field is always zero at point ${\displaystyle {\mathcal {O}}}$, and consider a circle of radius 0.227 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral ${\displaystyle \oint {\vec {B}}\cdot d{\vec {s}}}$ around the circle.

a) 2.657E+04 V
b) 2.923E+04 V
c) 3.215E+04 V
d) 3.537E+04 V
e) 3.890E+04 V

3) A long solenoid has a radius of 0.306 m and 98 turns per meter; its current decreases with time according to ${\displaystyle I_{0}e^{-\alpha t}}$, where ${\displaystyle I_{0}=}$6 A and ${\displaystyle \alpha =}$22 s−1.What is the induced electric fied at a distance 2.52 m from the axis at time t=0.0246 s ?

a) 1.598E-04 V/m
b) 1.758E-04 V/m
c) 1.934E-04 V/m
d) 2.127E-04 V/m
e) 2.340E-04 V/m

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

QB153089888048

1)
A cylinder of height 1.34 cm and radius 2.47 cm is cut into a wedge as shown. Now imagine that the volume grows as θ increases while the radius R and height h remains constant. What is the volume's rate of change if point P is 1.23 cm from point O and moves at a speed of 6.23 cm/s? Assume that the wedge grows in such a way as the front face moves by rotating around the axis (that contains point O.)
--(Answer & Why this question is different.)
-a) 1.414E+01 cm3/s
-b) 1.556E+01 cm3/s
-c) 1.711E+01 cm3/s
-d) 1.882E+01 cm3/s
+e) 2.070E+01 cm3/s

2) A spatially uniform magnetic points in the z-direction and oscilates with time as ${\displaystyle {\vec {B}}(t)=B_{0}\sin \omega t}$ where ${\displaystyle B_{0}=}$2.25 T and ${\displaystyle \omega =}$8.280E+03 s−1. Suppose the electric field is always zero at point ${\displaystyle {\mathcal {O}}}$, and consider a circle of radius 0.227 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral ${\displaystyle \oint {\vec {B}}\cdot d{\vec {s}}}$ around the circle.

+a) 2.657E+04 V
-b) 2.923E+04 V
-c) 3.215E+04 V
-d) 3.537E+04 V
-e) 3.890E+04 V

3) A long solenoid has a radius of 0.306 m and 98 turns per meter; its current decreases with time according to ${\displaystyle I_{0}e^{-\alpha t}}$, where ${\displaystyle I_{0}=}$6 A and ${\displaystyle \alpha =}$22 s−1.What is the induced electric fied at a distance 2.52 m from the axis at time t=0.0246 s ?

-a) 1.598E-04 V/m
+b) 1.758E-04 V/m
-c) 1.934E-04 V/m
-d) 2.127E-04 V/m
-e) 2.340E-04 V/m

### QB:Ch 13:V2

QB153089888048

1) A long solenoid has a radius of 0.521 m and 46 turns per meter; its current decreases with time according to ${\displaystyle I_{0}e^{-\alpha t}}$, where ${\displaystyle I_{0}=}$1 A and ${\displaystyle \alpha =}$30 s−1.What is the induced electric fied at a distance 2.42 m from the axis at time t=0.0449 s ?

a) 2.529E-05 V/m
b) 2.782E-05 V/m
c) 3.060E-05 V/m
d) 3.366E-05 V/m
e) 3.703E-05 V/m
2)
A cylinder of height 1.48 cm and radius 7.74 cm is cut into a wedge as shown. Now imagine that the volume grows as θ increases while the radius R and height h remains constant. What is the volume's rate of change if point P is 3.76 cm from point O and moves at a speed of 3.09 cm/s? Assume that the wedge grows in such a way as the front face moves by rotating around the axis (that contains point O.)
--(Answer & Why this question is different.)
a) 3.312E+01 cm3/s
b) 3.643E+01 cm3/s
c) 4.008E+01 cm3/s
d) 4.408E+01 cm3/s
e) 4.849E+01 cm3/s

3) A spatially uniform magnetic points in the z-direction and oscilates with time as ${\displaystyle {\vec {B}}(t)=B_{0}\sin \omega t}$ where ${\displaystyle B_{0}=}$1.97 T and ${\displaystyle \omega =}$5.410E+03 s−1. Suppose the electric field is always zero at point ${\displaystyle {\mathcal {O}}}$, and consider a circle of radius 0.244 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral ${\displaystyle \oint {\vec {B}}\cdot d{\vec {s}}}$ around the circle.

a) 1.485E+04 V
b) 1.634E+04 V
c) 1.797E+04 V
d) 1.977E+04 V
e) 2.175E+04 V

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

QB153089888048

1) A long solenoid has a radius of 0.521 m and 46 turns per meter; its current decreases with time according to ${\displaystyle I_{0}e^{-\alpha t}}$, where ${\displaystyle I_{0}=}$1 A and ${\displaystyle \alpha =}$30 s−1.What is the induced electric fied at a distance 2.42 m from the axis at time t=0.0449 s ?

+a) 2.529E-05 V/m
-b) 2.782E-05 V/m
-c) 3.060E-05 V/m
-d) 3.366E-05 V/m
-e) 3.703E-05 V/m
2)
A cylinder of height 1.48 cm and radius 7.74 cm is cut into a wedge as shown. Now imagine that the volume grows as θ increases while the radius R and height h remains constant. What is the volume's rate of change if point P is 3.76 cm from point O and moves at a speed of 3.09 cm/s? Assume that the wedge grows in such a way as the front face moves by rotating around the axis (that contains point O.)
--(Answer & Why this question is different.)
-a) 3.312E+01 cm3/s
+b) 3.643E+01 cm3/s
-c) 4.008E+01 cm3/s
-d) 4.408E+01 cm3/s
-e) 4.849E+01 cm3/s

3) A spatially uniform magnetic points in the z-direction and oscilates with time as ${\displaystyle {\vec {B}}(t)=B_{0}\sin \omega t}$ where ${\displaystyle B_{0}=}$1.97 T and ${\displaystyle \omega =}$5.410E+03 s−1. Suppose the electric field is always zero at point ${\displaystyle {\mathcal {O}}}$, and consider a circle of radius 0.244 m that is centered at that point and oriented in a plane perpendicular to the magnetic field. Evaluate the maximum value of the line integral ${\displaystyle \oint {\vec {B}}\cdot d{\vec {s}}}$ around the circle.

-a) 1.485E+04 V
+b) 1.634E+04 V
-c) 1.797E+04 V
-d) 1.977E+04 V
-e) 2.175E+04 V

### QB:Ch 14:V0

QB153089888048

1)
A long solenoid has a length 0.805 meters, radius 4.24 cm, and 536 turns. It surrounds coil of radius 8.5 meters and 16turns. If the current in the solenoid is changing at a rate of 278 A/s, what is the emf induced in the surounding coil?
a) 6.604E-02 V
b) 7.264E-02 V
c) 7.990E-02 V
d) 8.789E-02 V
e) 9.668E-02 V
2)
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 2.69% of its maximum value if ε = 4.79 V , R = 4.18 Ω, and L = 2.7 H?
a) -8.773E-01 s
b) -9.651E-01 s
c) -1.062E+00 s
d) -1.168E+00 s
e) -1.284E+00 s

3) An induced emf of 3.78V is measured across a coil of 99 closely wound turns while the current throuth it increases uniformly from 0.0 to 6.36A in 0.821s. What is the self-inductance of the coil?

a) 4.033E-01 H
b) 4.436E-01 H
c) 4.880E-01 H
d) 5.367E-01 H
e) 5.904E-01 H

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

QB153089888048

1)
A long solenoid has a length 0.805 meters, radius 4.24 cm, and 536 turns. It surrounds coil of radius 8.5 meters and 16turns. If the current in the solenoid is changing at a rate of 278 A/s, what is the emf induced in the surounding coil?
+a) 6.604E-02 V
-b) 7.264E-02 V
-c) 7.990E-02 V
-d) 8.789E-02 V
-e) 9.668E-02 V
2)
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 2.69% of its maximum value if ε = 4.79 V , R = 4.18 Ω, and L = 2.7 H?
-a) -8.773E-01 s
-b) -9.651E-01 s
-c) -1.062E+00 s
+d) -1.168E+00 s
-e) -1.284E+00 s

3) An induced emf of 3.78V is measured across a coil of 99 closely wound turns while the current throuth it increases uniformly from 0.0 to 6.36A in 0.821s. What is the self-inductance of the coil?

-a) 4.033E-01 H
-b) 4.436E-01 H
+c) 4.880E-01 H
-d) 5.367E-01 H
-e) 5.904E-01 H

### QB:Ch 14:V1

QB153089888048

1) An induced emf of 7.48V is measured across a coil of 95 closely wound turns while the current throuth it increases uniformly from 0.0 to 5.33A in 0.304s. What is the self-inductance of the coil?

a) 2.914E-01 H
b) 3.205E-01 H
c) 3.526E-01 H
d) 3.878E-01 H
e) 4.266E-01 H
2)
Suppose switch S1 in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S1 is opened as as S2 is closed. How long will it take for the energy stored in the inductor to be reduced to 2.63% of its maximum value if ε = 8.7 V , R = 8.35 Ω, and L = 1.44 H?
a) -3.137E-01 s
b) -3.451E-01 s
c) -3.796E-01 s
d) -4.176E-01 s
e) -4.593E-01 s
3)
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

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

QB153089888048

1) An induced emf of 7.48V is measured across a coil of 95 closely wound turns while the current throuth it increases uniformly from 0.0 to 5.33A in 0.304s. What is the self-inductance of the coil?

-a) 2.914E-01 H
-b) 3.205E-01 H
-c) 3.526E-01 H
-d) 3.878E-01 H
+e) 4.266E-01 H
2)
Suppose switch S1 in the figure shown was closed and remained closed long enough to acheive steady state. At t=0 S1 is opened as as S2 is closed. How long will it take for the energy stored in the inductor to be reduced to 2.63% of its maximum value if ε = 8.7 V , R = 8.35 Ω, and L = 1.44 H?
+a) -3.137E-01 s
-b) -3.451E-01 s
-c) -3.796E-01 s
-d) -4.176E-01 s
-e) -4.593E-01 s
3)
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

### QB:Ch 14:V2

QB153089888048

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 2.59% of its maximum value if ε = 1.14 V , R = 6.17 Ω, and L = 5.45 H?
a) -1.614E+00 s
b) -1.775E+00 s
c) -1.952E+00 s
d) -2.148E+00 s
e) -2.362E+00 s

2) An induced emf of 1.92V is measured across a coil of 74 closely wound turns while the current throuth it increases uniformly from 0.0 to 6.38A in 0.69s. What is the self-inductance of the coil?

a) 1.560E-01 H
b) 1.716E-01 H
c) 1.888E-01 H
d) 2.076E-01 H
e) 2.284E-01 H
3)
A long solenoid has a length 0.634 meters, radius 3.04 cm, and 522 turns. It surrounds coil of radius 9.17 meters and 9turns. If the current in the solenoid is changing at a rate of 283 A/s, what is the emf induced in the surounding coil?
a) 1.986E-02 V
b) 2.185E-02 V
c) 2.404E-02 V
d) 2.644E-02 V
e) 2.908E-02 V

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

QB153089888048

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 2.59% of its maximum value if ε = 1.14 V , R = 6.17 Ω, and L = 5.45 H?
+a) -1.614E+00 s
-b) -1.775E+00 s
-c) -1.952E+00 s
-d) -2.148E+00 s
-e) -2.362E+00 s

2) An induced emf of 1.92V is measured across a coil of 74 closely wound turns while the current throuth it increases uniformly from 0.0 to 6.38A in 0.69s. What is the self-inductance of the coil?

-a) 1.560E-01 H
-b) 1.716E-01 H
-c) 1.888E-01 H
+d) 2.076E-01 H
-e) 2.284E-01 H
3)
A long solenoid has a length 0.634 meters, radius 3.04 cm, and 522 turns. It surrounds coil of radius 9.17 meters and 9turns. If the current in the solenoid is changing at a rate of 283 A/s, what is the emf induced in the surounding coil?
-a) 1.986E-02 V
-b) 2.185E-02 V
+c) 2.404E-02 V
-d) 2.644E-02 V
-e) 2.908E-02 V

### QB:Ch 15:V0

QB153089888048

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

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

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

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

3) An RLC series combination is driven with an applied voltage of of V=V0sin(ωt), where V0=0.75 V. The resistance, inductance, and capacitance are R =5 Ω, L= 9.90E-03H , and C=6.80E-04 F, respectively. What is the amplitude of the current?

a) 1.240E-01 A
b) 1.364E-01 A
c) 1.500E-01 A
d) 1.650E-01 A
e) 1.815E-01 A

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

QB153089888048

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

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

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

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

3) An RLC series combination is driven with an applied voltage of of V=V0sin(ωt), where V0=0.75 V. The resistance, inductance, and capacitance are R =5 Ω, L= 9.90E-03H , and C=6.80E-04 F, respectively. What is the amplitude of the current?

-a) 1.240E-01 A
-b) 1.364E-01 A
+c) 1.500E-01 A
-d) 1.650E-01 A
-e) 1.815E-01 A

### QB:Ch 15:V1

QB153089888048

1) An RLC series combination is driven with an applied voltage of of V=V0sin(ωt), where V0=0.77 V. The resistance, inductance, and capacitance are R =3 Ω, L= 6.70E-03H , and C=7.10E-04 F, respectively. What is the amplitude of the current?

a) 2.333E-01 A
b) 2.567E-01 A
c) 2.823E-01 A
d) 3.106E-01 A
e) 3.416E-01 A

2) A step-down transformer steps 14 kV down to 210 V. The high-voltage input is provided by a 240 Ω power line that carries 3 A of currentWhat is the output current (at the 210 V side ?)

a) 2.000E+02 A
b) 2.200E+02 A
c) 2.420E+02 A
d) 2.662E+02 A
e) 2.928E+02 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 420 Hz and an amplitude of 0.73 V;. If R =2 Ω, L= 9.60E-03H , and C=7.80E-04 F, what is the impedance?

a) 2.060E+01 Ω
b) 2.266E+01 Ω
c) 2.493E+01 Ω
d) 2.742E+01 Ω
e) 3.016E+01 Ω

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

QB153089888048

1) An RLC series combination is driven with an applied voltage of of V=V0sin(ωt), where V0=0.77 V. The resistance, inductance, and capacitance are R =3 Ω, L= 6.70E-03H , and C=7.10E-04 F, respectively. What is the amplitude of the current?

-a) 2.333E-01 A
+b) 2.567E-01 A
-c) 2.823E-01 A
-d) 3.106E-01 A
-e) 3.416E-01 A

2) A step-down transformer steps 14 kV down to 210 V. The high-voltage input is provided by a 240 Ω power line that carries 3 A of currentWhat is the output current (at the 210 V side ?)

+a) 2.000E+02 A
-b) 2.200E+02 A
-c) 2.420E+02 A
-d) 2.662E+02 A
-e) 2.928E+02 A

3) The output of an ac generator connected to an RLC series combination has a frequency of 420 Hz and an amplitude of 0.73 V;. If R =2 Ω, L= 9.60E-03H , and C=7.80E-04 F, what is the impedance?

-a) 2.060E+01 Ω
-b) 2.266E+01 Ω
+c) 2.493E+01 Ω
-d) 2.742E+01 Ω
-e) 3.016E+01 Ω

### QB:Ch 15:V2

QB153089888048

1) The output of an ac generator connected to an RLC series combination has a frequency of 740 Hz and an amplitude of 0.66 V;. If R =3 Ω, L= 2.40E-03H , and C=5.70E-04 F, what is the impedance?

a) 1.119E+01 Ω
b) 1.231E+01 Ω
c) 1.354E+01 Ω
d) 1.490E+01 Ω
e) 1.639E+01 Ω

2) A step-down transformer steps 15 kV down to 240 V. The high-voltage input is provided by a 200 Ω power line that carries 4 A of currentWhat is the output current (at the 240 V side ?)

a) 1.708E+02 A
b) 1.878E+02 A
c) 2.066E+02 A
d) 2.273E+02 A
e) 2.500E+02 A

3) An RLC series combination is driven with an applied voltage of of V=V0sin(ωt), where V0=0.16 V. The resistance, inductance, and capacitance are R =8 Ω, L= 5.40E-03H , and C=5.40E-04 F, respectively. What is the amplitude of the current?

a) 2.000E-02 A
b) 2.200E-02 A
c) 2.420E-02 A
d) 2.662E-02 A
e) 2.928E-02 A

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

QB153089888048

1) The output of an ac generator connected to an RLC series combination has a frequency of 740 Hz and an amplitude of 0.66 V;. If R =3 Ω, L= 2.40E-03H , and C=5.70E-04 F, what is the impedance?

+a) 1.119E+01 Ω
-b) 1.231E+01 Ω
-c) 1.354E+01 Ω
-d) 1.490E+01 Ω
-e) 1.639E+01 Ω

2) A step-down transformer steps 15 kV down to 240 V. The high-voltage input is provided by a 200 Ω power line that carries 4 A of currentWhat is the output current (at the 240 V side ?)

-a) 1.708E+02 A
-b) 1.878E+02 A
-c) 2.066E+02 A
-d) 2.273E+02 A
+e) 2.500E+02 A

3) An RLC series combination is driven with an applied voltage of of V=V0sin(ωt), where V0=0.16 V. The resistance, inductance, and capacitance are R =8 Ω, L= 5.40E-03H , and C=5.40E-04 F, respectively. What is the amplitude of the current?

+a) 2.000E-02 A
-b) 2.200E-02 A
-c) 2.420E-02 A
-d) 2.662E-02 A
-e) 2.928E-02 A

### QB:Ch 16:V0

QB153089888048

1) What is the radiation force on an object that is 7.40E+11 m away from the sun and has cross-sectional area of 0.082 m2? The average power output of the Sun is 3.80E+26 W.

a) 2.063E-08 N
b) 2.270E-08 N
c) 2.497E-08 N
d) 2.746E-08 N
e) 3.021E-08 N

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

a) 2.392E-06 N/m2
b) 2.631E-06 N/m2
c) 2.894E-06 N/m2
d) 3.184E-06 N/m2
e) 3.502E-06 N/m2
3)
A parallel plate capacitor with a capicatnce C=4.90E-06 F whose plates have an area A=3.00E+03 m2 and separation d=5.40E-03 m is connected via a swith to a 10 Ω resistor and a battery of voltage V0=12 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=2.00E-04?
a) 1.841E-02 A
b) 2.026E-02 A
c) 2.228E-02 A
d) 2.451E-02 A
e) 2.696E-02 A

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

QB153089888048

1) What is the radiation force on an object that is 7.40E+11 m away from the sun and has cross-sectional area of 0.082 m2? The average power output of the Sun is 3.80E+26 W.

-a) 2.063E-08 N
-b) 2.270E-08 N
-c) 2.497E-08 N
-d) 2.746E-08 N
+e) 3.021E-08 N

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

-a) 2.392E-06 N/m2
-b) 2.631E-06 N/m2
-c) 2.894E-06 N/m2
-d) 3.184E-06 N/m2
+e) 3.502E-06 N/m2
3)
A parallel plate capacitor with a capicatnce C=4.90E-06 F whose plates have an area A=3.00E+03 m2 and separation d=5.40E-03 m is connected via a swith to a 10 Ω resistor and a battery of voltage V0=12 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=2.00E-04?
-a) 1.841E-02 A
+b) 2.026E-02 A
-c) 2.228E-02 A
-d) 2.451E-02 A
-e) 2.696E-02 A

### QB:Ch 16:V1

QB153089888048

1) What is the radiation force on an object that is 1.20E+11 m away from the sun and has cross-sectional area of 0.055 m2? The average power output of the Sun is 3.80E+26 W.

a) 5.263E-07 N
b) 5.789E-07 N
c) 6.368E-07 N
d) 7.005E-07 N
e) 7.705E-07 N

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

a) 2.144E-07 N/m2
b) 2.358E-07 N/m2
c) 2.594E-07 N/m2
d) 2.854E-07 N/m2
e) 3.139E-07 N/m2
3)
A parallel plate capacitor with a capicatnce C=3.80E-06 F whose plates have an area A=2.70E+03 m2 and separation d=6.30E-03 m is connected via a swith to a 85 Ω resistor and a battery of voltage V0=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

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

QB153089888048

1) What is the radiation force on an object that is 1.20E+11 m away from the sun and has cross-sectional area of 0.055 m2? The average power output of the Sun is 3.80E+26 W.

-a) 5.263E-07 N
-b) 5.789E-07 N
-c) 6.368E-07 N
-d) 7.005E-07 N
+e) 7.705E-07 N

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

+a) 2.144E-07 N/m2
-b) 2.358E-07 N/m2
-c) 2.594E-07 N/m2
-d) 2.854E-07 N/m2
-e) 3.139E-07 N/m2
3)
A parallel plate capacitor with a capicatnce C=3.80E-06 F whose plates have an area A=2.70E+03 m2 and separation d=6.30E-03 m is connected via a swith to a 85 Ω resistor and a battery of voltage V0=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

### QB:Ch 16:V2

QB153089888048

1)
A parallel plate capacitor with a capicatnce C=4.40E-06 F whose plates have an area A=1.80E+03 m2 and separation d=3.60E-03 m is connected via a swith to a 87 Ω resistor and a battery of voltage V0=61 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=6.70E-04?
a) 8.320E-02 A
b) 9.152E-02 A
c) 1.007E-01 A
d) 1.107E-01 A
e) 1.218E-01 A

2) What is the radiation force on an object that is 3.80E+11 m away from the sun and has cross-sectional area of 0.094 m2? The average power output of the Sun is 3.80E+26 W.

a) 8.969E-08 N
b) 9.866E-08 N
c) 1.085E-07 N
d) 1.194E-07 N
e) 1.313E-07 N

3) What is the radiation pressure on an object that is 9.70E+11 m away from the sun and has cross-sectional area of 0.076 m2? The average power output of the Sun is 3.80E+26 W.

a) 1.611E-07 N/m2
b) 1.772E-07 N/m2
c) 1.949E-07 N/m2
d) 2.144E-07 N/m2
e) 2.358E-07 N/m2

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

QB153089888048

1)
A parallel plate capacitor with a capicatnce C=4.40E-06 F whose plates have an area A=1.80E+03 m2 and separation d=3.60E-03 m is connected via a swith to a 87 Ω resistor and a battery of voltage V0=61 V as shown in the figure. The current starts to flow at time t=0 when the switch is closed. What is the magnitude of the displacement current at time t=6.70E-04?
-a) 8.320E-02 A
-b) 9.152E-02 A
-c) 1.007E-01 A
-d) 1.107E-01 A
+e) 1.218E-01 A

2) What is the radiation force on an object that is 3.80E+11 m away from the sun and has cross-sectional area of 0.094 m2? The average power output of the Sun is 3.80E+26 W.

-a) 8.969E-08 N
-b) 9.866E-08 N
-c) 1.085E-07 N
-d) 1.194E-07 N
+e) 1.313E-07 N

3) What is the radiation pressure on an object that is 9.70E+11 m away from the sun and has cross-sectional area of 0.076 m2? The average power output of the Sun is 3.80E+26 W.

-a) 1.611E-07 N/m2
-b) 1.772E-07 N/m2
-c) 1.949E-07 N/m2
+d) 2.144E-07 N/m2
-e) 2.358E-07 N/m2