Deck 16: Electric Forces and Fields

Question 1

How many electrons does it take to make one coulomb of negative charge?

A) $2.24 \times 10^{4}$
B) $1.00 \times 10^{9}$
C) $6.02 \times 10^{23}$
D) $1.66 \times 10^{18}$
E) $6.24 \times 10^{18}$

Answer 1

$6.24 \times 10^{18}$

Question 2

Arrange the following from smallest to largest.

A) $\mathrm{pC}, \mathrm{nC}, \mu \mathrm{C}, \mathrm{mC}$
B) $\mathrm{nC}, \mathrm{pC}, \mu \mathrm{C}, \mathrm{mC}$
C) $\mathrm{nC}, \mathrm{pC}, \mathrm{mC}, \mu \mathrm{C}$
D) $\mu \mathrm{C}, \mathrm{mC}, \mathrm{pC}, \mathrm{nC}$
E) $\mathrm{mC}, \mu \mathrm{C}, \mathrm{nC}, \mathrm{pC}$

Answer 2

$\mathrm{pC}, \mathrm{nC}, \mu \mathrm{C}, \mathrm{mC}$

Question 3

The Coulomb constant $\mathrm{k}$ has a value of $8.99 \times 10^{9} \mathrm{~N} \cdot \mathrm{m}^{2} / \mathrm{C}^{2}$ . The permittivity of vacuum $\varepsilon_{0}$ has the units

A) $\mathrm{C} 2 /\left(\mathrm{N} \cdot \mathrm{m}^{2}\right)$ .
B) $\mathrm{C} /(\mathrm{N} \cdot \mathrm{m})$ .
C) $\mathrm{N} \cdot \mathrm{m}^{2} / \mathrm{C}^{2}$ .
D) $\mathrm{N} \cdot \mathrm{m} / \mathrm{C}$ .
E) none of the choices are correct.

Answer 3

$\mathrm{C} 2 /\left(\mathrm{N} \cdot \mathrm{m}^{2}\right)$ .

Question 4

Two point charges are on the $x$ -axis. One charge, $q_{1}=10.0 \mathrm{nC}$ , is located at the origin, and the other charge, $\mathrm{q}_{2}=18.0 \mathrm{nC}$ , is located at $\mathrm{x}=9.00 \mathrm{~m}$ . What is the force on $\mathrm{q}_{2}$ ?

A) $20.0 \mathrm{pN}$ in the positive $\mathrm{x}$ -direction
B) $20.0 \mathrm{nN}$ in the negative $\mathrm{x}$ -direction
C) $180 \mathrm{nN}$ in the positive $\mathrm{x}$ -direction
D) $20.0 \mathrm{nN}$ in the positive $x$ -direction
E) $20.0 \mathrm{pN}$ in the negative $\mathrm{x}$ -direction

Question 5

Three point charges are located on the $x$ -axis. The first charge, $q_{1}=10.0 \mu \mathrm{C}$ , is at $x=-1.00 \mathrm{~m}$ ; the second charge, $\mathrm{q}_{2}=20.0 \mu \mathrm{C}$ , is at the origin; and the third charge, $\mathrm{q}_{3}=-30.0 \mu \mathrm{C}$ , is located at $\mathrm{x}=2.00 \mathrm{~m}$ . What is the force on $\mathrm{q}_{2}$ ?

A) $1.65 \mathrm{~N}$ in the negative $\mathrm{x}$ -direction
B) $4.80 \mathrm{~N}$ in the positive $\mathrm{x}$ -direction
C) $3.15 \mathrm{~N}$ in the positive $\mathrm{x}$ -direction
D) $4.65 \mathrm{~N}$ in the negative $\mathrm{x}$ -direction
E) $1.50 \mathrm{~N}$ in the negative $x$ -direction

Question 6

Three point charges are located on the $x$ -axis. The first charge, $q_{1}=10.0 \mu \mathrm{C}$ , is at $x=-1.00 \mathrm{~m}$ ; the second charge, $\mathrm{q}_{2}=20.0 \mu \mathrm{C}$ , is at the origin; and the third charge, $\mathrm{q}_{3}=-30.0 \mu \mathrm{C}$ , is located at $\mathrm{x}=2.00 \mathrm{~m}$ . What is the force on $\mathrm{q}_{3}$ ?

A) $4.65 \mathrm{~N}$ in the negative $\mathrm{x}$ -direction
B) $1.65 \mathrm{~N}$ in the negative $\mathrm{x}$ -direction
C) $1.50 \mathrm{~N}$ in the negative $x$ -direction
D) $4.80 \mathrm{~N}$ in the positive $\mathrm{x}$ -direction
E) $3.15 \mathrm{~N}$ in the positive $\mathrm{x}$ -direction

Question 7

Three point charges are located on the $x$ -axis. The first charge, $q_{1}=10.0 \mu C$ , is at $x=-1.00 \mathrm{~m}$ ; the second charge, $\mathrm{q}_{2}=20.0 \mu \mathrm{C}$ , is at the origin; and the third charge, $\mathrm{q}_{3}=-30.0 \mu \mathrm{C}$ , is located at $\mathrm{x}=2.00 \mathrm{~m}$ . Which charge is subjected to the force of greatest magnitude?

A) $\mathrm{q}_{1}$
B) $\mathrm{q}_{2}$ and $\mathrm{q}_{3}$ (equal)
C) $\mathrm{q}_{2}$
D) $\mathrm{q}_{1}$ and $\mathrm{q}_{2}$ (equal)
E) $\mathrm{q}_{3}$

Question 8

Three point charges are positioned as follows: $q_{1}$ is at $(0.00 \mathrm{~m}, 0.00 \mathrm{~m}), \mathrm{q}_{2}$ is at $(1.20 \mathrm{~m}, 0.00 \mathrm{~m})$ , and $\mathrm{q}_{3}$ is at $(1.20 \mathrm{~m}, 1.60 \mathrm{~m})$ . If all three charges are negative, into which quadrant is the force on $\mathrm{q}_{1}$ pointing?

A) 1 st
B) 2nd
C) 3rd
D) 4th
E) there isn't enough information in the problem to solve this

Question 9

Three point charges are positioned as follows: $\mathrm{q}_{1}$ is at $(0.00 \mathrm{~m}, 0.00 \mathrm{~m})$ , $\mathrm{q}_{2}$ is at $(1.20 \mathrm{~m}, 0.00 \mathrm{~m})$ , and $\mathrm{q}_{3}$ is at $\left(1.20 \mathrm{~m}, 1.60 \mathrm{~m}\right.$ ). If $\mathrm{q}_{1}=1.00 \mu \mathrm{C}, \mathrm{q}_{2}=2.00 \mu \mathrm{C}$ , and $\mathrm{q}_{3}=3.00 \mu \mathrm{C}$ , in what direction (ccw from the $\mathrm{x}$ -axis) is the force on $\mathrm{q}_{2}$ ?

A) $149^{\circ}$
B) $329^{\circ}$
C) $59.4^{\circ}$
D) $301^{\circ}$
E) $39.1^{\circ}$

Question 10

Three point charges are positioned as follows: $\mathrm{q}_{1}$ is at $(0.00 \mathrm{~m}, 0.00 \mathrm{~m}), \mathrm{q}_{2}$ is at $(1.20 \mathrm{~m}, 0.00 \mathrm{~m})$ , and $\mathrm{q}_{3}$ is at $(1.20 \mathrm{~m}, 1.60 \mathrm{~m})$ . If $\mathrm{q}_{1}=1.00 \mu \mathrm{C}, \mathrm{q}_{2}=2.00 \mu \mathrm{C}$ , and $\mathrm{q}_{3}=3.00 \mu \mathrm{C}$ , what is the magnitude of the force on $\mathrm{q}_{2}$ ?

A) $2.11 \times 10-2 \mathrm{~N}$
B) $1.25 \times 10^{-2} \mathrm{~N}$
C) $3.36 \times 10^{-2} \mathrm{~N}$
D) $2.45 \times 10^{-2} \mathrm{~N}$
E) $5.08 \times 10-2 \mathrm{~N}$

Question 11

Four point charges are located at the corners of a square, $1.00 \mathrm{~m}$ by $1.00 \mathrm{~m}$ . On each of two diagonally opposite corners are $1.00 \mu \mathrm{C}$ charges. On each of the other two corners are $-1.00 \mu \mathrm{C}$ charges. What is the direction of the force on each charge?

A) positive and negative charges both away from the center of the square
B) no direction (net force on each charge $=0$ )
C) positive charges away from away from the center of the square, negative inward toward the center
D) positive and negative charges both toward the center of the square
E) negative charges away from away from the center of the square, positive inward toward the center

Question 12

Four point charges are located at the corners of a square, $1.00 \mathrm{~m}$ by $1.00 \mathrm{~m}$ . On each of two diagonally opposite corners are $1.00 \mu \mathrm{C}$ charges. On each of the other two corners are $-1.00 \mu \mathrm{C}$ charges. What is the magnitude of the force on one of the positive charges?

A) $3.2 \times 10^{-3} \mathrm{~N}$
B) $8.2 \times 10^{-3} \mathrm{~N}$
C) $1.3 \times 10^{-2} \mathrm{~N}$
D) 0.00
E) $1.9 \times 10^{-2} \mathrm{~N}$

Question 13

The electron orbiting the proton in the hydrogen atom is at a distance of $5.3 \times 10^{-9} \mathrm{~m}$ . What is the magnitude of the electric force between the proton and the electron?

A) $1.6 \times 10^{-19} \mathrm{~N}$
B) $8.2 \times 10^{-12} \mathrm{~N}$
C) $4.3 \times 10^{-17} \mathrm{~N}$
D) $2.7 \times 10^{-2} \mathrm{~N}$
E) $2.7 \times 102 \mathrm{~N}$

Question 14

The electron orbiting the proton in the hydrogen atom is at a distance of $5.3 \times 10^{-9} \mathrm{~m}$ . What is the ratio of the electric force to the gravitational force between these particles? (The mass of the proton is $1.67 \times 10^{-27} \mathrm{~kg}$ and the mass of the electron is $9.11 \times 10^{-31} \mathrm{~kg}$ .)

A) $9.0 \times 1016$
B) $3.00 \times 108$
C) $2.3 \times 1039$
D) $2.5 \times 10^{29}$
E) $1.7 \times 1019$

Question 15

What is the magnitude of the electric field $30.0 \mathrm{~cm}$ from a point charge of $0.35 \mu \mathrm{C}$ ?

A) $9.5 \times 10^{4} \mathrm{~N} / \mathrm{C}$
B) $1.2 \times 10^{-2} \mathrm{~N} / \mathrm{C}$
C) $1.1 \times 10^{4} \mathrm{~N} / \mathrm{C}$
D) $9.5 \times 10^{-4} \mathrm{~N} / \mathrm{C}$
E) $3.5 \times 10^{4} \mathrm{~N} / \mathrm{C}$

Question 16

The electric field has a magnitude of $3.00 \mathrm{~N} / \mathrm{C}$ at a distance of $60.0 \mathrm{~cm}$ from a point charge. What is the charge?

A) $1.40 \mathrm{nC}$
B) $12.0 \mu \mathrm{C}$
C) $3.00 \mathrm{nC}$
D) $120 \mathrm{pC}$
E) $36.0 \mathrm{mC}$

Question 17

A $3.7 \mathrm{pC}$ charge experiences a force of $8.1 \times 10^{-7} \mathrm{~N}$ in an electric field. What is the magnitude of the electric field?

A) $1.2 \times 10^{-3} \mathrm{~N} / \mathrm{C}$
B) $12 \mathrm{~N} / \mathrm{C}$
C) $2.2 \times 10^{5} \mathrm{~N} / \mathrm{C}$
D) $3.00 \times 10^{5} \mathrm{~N} / \mathrm{C}$
E) $4.3 \times 10^{-6} \mathrm{~N} / \mathrm{C}$

Question 18

A $72 \mathrm{nC}$ charge is located at $\mathrm{x}=3.00 \mathrm{~m}$ on the $\mathrm{x}$ -axis and an $8.0 \mathrm{nC}$ charge is located at $\mathrm{x}=7.0 \mathrm{~m}$ . At what point on the $\mathrm{x}$ -axis is the electric field zero?

A) $-9.0 \mathrm{~m}$
B) $-5.0 \mathrm{~m}$
C) $4.0 \mathrm{~m}$
D) $6.3 \mathrm{~m}$
E) $6.0 \mathrm{~m}$

Question 19

A $1.00 \mathrm{nC}$ charge is placed on the $\mathrm{x}$ -axis at $\mathrm{x}=-1.00 \mathrm{~m}$ . A second $1.00 \mathrm{nC}$ charge is placed on the $\mathrm{x}$ -axis at $\mathrm{x}=1.00 \mathrm{~m}$ . A third charge of $1.00 \mathrm{nC}$ is placed on the $\mathrm{y}$ -axis at $\mathrm{y}=-1.00 \mathrm{~m}$ . A fourth charge is place on the $y$ -axis at $y=1.00 \mathrm{~m}$ . What is the fourth charge if the electric field at the origin is zero?

A) $-1.00 \mathrm{nC}$
B) $1.00 \mathrm{nC}$
C) $3.00 \mathrm{nC}$
D) $2.00 \mathrm{nC}$
E) $-3.00 \mathrm{nC}$

Question 20

A point charge of $3.0 \mu \mathrm{C}$ is located on the $y$ -axis at $y=4.0 \mathrm{~m}$ , and another point charge of $6.0 \mu \mathrm{C}$ is located on the $\mathrm{x}$ -axis at $\mathrm{x}=5.0 \mathrm{~m}$ . What is the magnitude of the electric field at the position $(5.0 \mathrm{~m}, 4.0 \mathrm{~m})$ ?

A) $2.7 \times 10^{-3} \mathrm{~N} / \mathrm{C}$
B) $2.7 \times 10^{3} \mathrm{~N} / \mathrm{C}$
C) $3.5 \times 10^{-3} \mathrm{~N} / \mathrm{C}$
D) $3.5 \times 10^{3} \mathrm{~N} / \mathrm{C}$
E) $4.5 \times 10^{3} \mathrm{~N} / \mathrm{C}$

Question 21

A point charge of $3.0 \mu \mathrm{C}$ is located on the $y$ -axis at $y=4.0 \mathrm{~m}$ , and another point charge of $6.0 \mu \mathrm{C}$ is located on the $\mathrm{x}$ -axis at $\mathrm{x}=5.0 \mathrm{~m}$ . What is the direction (ccw from the $\mathrm{x}$ -axis) of the electric field at $(5.0 \mathrm{~m}, 4.0 \mathrm{~m}$ )?

A) $72^{\circ}$
B) $53^{\circ}$
C) $18^{\circ}$
D) $25^{\circ}$
E) $34^{\circ}$

Question 22

A point charge of $3.00 \mu \mathrm{C}$ is located on the $y$ -axis at $y=4.0 \mathrm{~m}$ , another point charge of $6.0 \mu \mathrm{C}$ is located on the $x$ -axis at $x=5.0 \mathrm{~m}$ , and a third charge of $7.2 \mu \mathrm{C}$ is located at $(5.0 \mathrm{~m}, 4.0 \mathrm{~m})$ . What is the magnitude of the force on the $7.2 \mu \mathrm{C}$ charge?

A) $3.3 \times 10-2 \mathrm{~N}$
B) $1.9 \times 10^{-2} \mathrm{~N}$
C) $2.5 \times 10^{-2} \mathrm{~N}$
D) $1.2 \times 10^{-2} \mathrm{~N}$
E) $1.6 \times 10-2 \mathrm{~N}$

Question 23

What is the magnitude of the acceleration of an electron when in an electric field of magnitude $7.0 \times 10^{4}$ $\mathrm{N} / \mathrm{C}$ ?

A) $7.0 \times 10^{4} \mathrm{~m} / \mathrm{s}^{2}$
B) $1.2 \times 1016 \mathrm{~m} / \mathrm{s}^{2}$
C) $8.6 \times 1020 \mathrm{~m} / \mathrm{s}^{2}$
D) $7.7 \times 1034 \mathrm{~m} / \mathrm{s}^{2}$
E) $3.0 \times 10^{8} \mathrm{~m} / \mathrm{s}^{2}$

Question 24

A $1.65 \mathrm{nC}$ charge experiences an acceleration of $6.33 \times 10^{7} \mathrm{~m} / \mathrm{s}^{2}$ in an electric field. What is the magnitude of the electric field?

A) $1.65 \times 10-9 \mathrm{~N} / \mathrm{C}$
B) there isn't enough information in the problem to solve this
C) $3.84 \times 10^{16} \mathrm{~N} / \mathrm{C}$
D) $2.67 \times 10^{-19} \mathrm{~N} / \mathrm{C}$
E) $14.9 \mathrm{~N} / \mathrm{C}$

Question 25

An electron gun sends electrons through a region with an electric field of magnitude $1.5 \times 10^{4} \mathrm{~N} / \mathrm{C}$ for a distance of $2.5 \mathrm{~cm}$ . What is the acceleration of the electrons while in this electric field?

A) $1.4 \times 10^{12} \mathrm{~m} / \mathrm{s}^{2}$
B) $2.6 \times 10^{11} \mathrm{~m} / \mathrm{s}^{2}$
C) $1.4 \times 10^{8} \mathrm{~m} / \mathrm{s}^{2}$
D) $3.0 \times 10^{8} \mathrm{~m} / \mathrm{s}^{2}$
E) $2.6 \times 10^{15}\mathrm{~m} / \mathrm{s}^{2}$

Question 26

A thin metallic spherical shell of radius $50 \mathrm{~cm}$ has a total charge of $4.0 \mu \mathrm{C}$ placed on it. At the center of the shell is placed a point charge of $2.00 \mu \mathrm{C}$ . What is the electric field at a distance of $30.0 \mathrm{~cm}$ from the center of the spherical shell?

A) 0.0
B) $4.0 \times 105 \mathrm{~N} / \mathrm{C}$ inward
C) $4.0 \times 10^{5} \mathrm{~N} / \mathrm{C}$ outward
D) $2.0 \times 10^{5} \mathrm{~N} / \mathrm{C}$ outward
E) $6.0 \times 105 \mathrm{~N} / \mathrm{C}$ outward

Question 27

A thin metallic spherical shell of radius $50 \mathrm{~cm}$ has a total charge of $4.0 \mu \mathrm{C}$ placed on it. At the center of the shell is placed a point charge of $2.00 \mu \mathrm{C}$ . What is the electric field at a distance of $90 \mathrm{~cm}$ from the center of the spherical shell?

A) $6.7 \times 10^{4} \mathrm{~N} / \mathrm{C}$ outward
B) $6.7 \times 10^{4} \mathrm{~N} / \mathrm{C}$ inward
C) $8.8 \times 10^{4} \mathrm{~N} / \mathrm{C}$ outward
D) $2.7 \times 10^{3} \mathrm{~N} / \mathrm{C}$ inward
E) $4.4 \times 10^{4} \mathrm{~N} / \mathrm{C}$ outward

Question 28

A conducting sphere of radius $10.0 \mathrm{~cm}$ holds a net charge of $4.4 \mu \mathrm{C}$ . What is the surface charge density?

A) $2.2 \times 10^{-4} \mathrm{C} / \mathrm{m}^{2}$
B) $1.1 \times 10^{-5} \mathrm{C} / \mathrm{m}^{2}$
C) 0.0
D) $3.5 \times 10^{-5} \mathrm{C} / \mathrm{m}^{2}$
E) $5.6 \times 10^{-3} \mathrm{C} / \mathrm{m}^{2}$

Question 29

What is the total electric flux through a closed surface containing a $2.0 \mu \mathrm{C}$ charge?

A) $2.3 \times 105 \mathrm{~N} \cdot \mathrm{m}^{2} / \mathrm{C}$
B) $1.4 \times 105 \mathrm{~N} \cdot \mathrm{m} 2 / \mathrm{C}$
C) 0
D) $1.8 \times 10^{4} \mathrm{~N} \cdot \mathrm{m}^{2} / \mathrm{C}$
E) $4.5 \times 103 \mathrm{~N} \cdot \mathrm{m} 2 / \mathrm{C}$

Question 30

A thin spherical shell of radius $20.0 \mathrm{~cm}$ has $5.0 \mu \mathrm{C}$ of charge uniformly distributed over its surface. What is the electric flux through an area of $1.00 \mathrm{~m}^{2}$ of a spherical surface concentric with the shell of charge but having a radius of $1.00 \mathrm{~m}$ ?

A) 0
B) $4.5 \times 10^{4} \mathrm{~N} \cdot \mathrm{m}^{2} / \mathrm{C}$
C) $1.8 \times 10^{4} \mathrm{~N} \cdot \mathrm{m}^{2} / \mathrm{C}$
D) $2.3 \times 10^{5} \mathrm{~N} \cdot \mathrm{m}^{2} / \mathrm{C}$
E) $5.6 \times 105 \mathrm{~N} \cdot \mathrm{m}^{2} / \mathrm{C}$

Question 31

A cylinder contains a charge $\mathrm{Q}$ . The flux through the curved side of the container is $3 \pi \mathrm{kQ}$ . What is the flux through the ends of the cylinder?

A) $5 \pi \mathrm{kQ}$
B) $\pi \mathrm{kQ}$
C) 0.0
D) $3 \pi \mathrm{kQ}$
E) $9 \pi \mathrm{kQ}$

Question 32

Each atom in a sample of lithium ( $\mathrm{Z}=3$ , atomic mass $6.941 \mathrm{u}$ ) has one electron removed. If a charge of magnitude $1.0 \mathrm{mC}$ was collected in this way, what is the mass of the lithium sample?

A) $0.031 \mu \mathrm{g}$
B) $0.010 \mu \mathrm{g}$
C) $0.072 \mu \mathrm{g}$
D) $0.024 \mu \mathrm{g}$

Question 33

A horizontally projected beam of electrons travels at $55 \mathrm{~km} / \mathrm{s}$ into the space between two horizontal, parallel plates. The plates are separated by $7.4 \mathrm{~cm}$ , and they are $12 \mathrm{~cm}$ long. The uniform electric field between the plates is $7.2 \mathrm{mV} / \mathrm{m}$ upward. If the beam enters the region at a height of $3.7 \mathrm{~cm}$ above the lower plate, at what height above the lower plate does the beam exit the region? The electron mass is $9.11 \times 10-31 \mathrm{~kg}$ .

A) $0.9 \mathrm{~cm}$
B) $2.3 \mathrm{~cm}$
C) $4.6 \mathrm{~cm}$
D) $3.4 \mathrm{~cm}$

Question 34

A horizontally projected beam of protons travels at $55 \mathrm{~km} / \mathrm{s}$ into the space between two horizontal, parallel plates. The plates are separated by $7.4 \mathrm{~cm}$ , and they are $12 \mathrm{~cm}$ long. The uniform electric field between the plates is $7.2 \mathrm{~V} / \mathrm{m}$ upward. If the beam enters the region at a height of $3.7 \mathrm{~cm}$ above the lower plate, at what height above the lower plate does the beam exit the region? The proton mass is $1.67 \times 10^{-27} \mathrm{~kg}$ .

A) $5.1 \mathrm{~cm}$
B) $3.9 \mathrm{~cm}$
C) $2.3 \mathrm{~cm}$
D) $4.4 \mathrm{~cm}$

Question 35

A horizontally projected beam of protons travels at $55 \mathrm{~km} / \mathrm{s}$ into the space between two horizontal, parallel plates. The plates are separated by $7.4 \mathrm{~cm}$ , and they are $12 \mathrm{~cm}$ long. There is a uniform electric field between the plates of unknown strength. The beam enters the region exactly midway (vertically) between the plates and exits the region 7.2 microns closer to the lower plate. If it were a beam of electrons instead, everything else being the same, at what height above the lower plate would the beam exit the region between the plates? The proton mass is $1.67 \times 10-27 \mathrm{~kg}$ , and electron mass is $9.11 \times 10-31 \mathrm{~kg}$ .

A) $4.6 \mathrm{~cm}$
B) $2.3 \mathrm{~cm}$
C) $0.9 \mathrm{~cm}$
D) $5.0 \mathrm{~cm}$

Question 36

A $4.7 \mathrm{~cm}$ radius spherical conducting shell has a uniform surface charge density. What is the surface charge density if the electric field $1.5 \mathrm{~m}$ from its center is $17 \mathrm{~N} / \mathrm{C}$ outward?

A) $6.1 \times 10^{-7} \mathrm{C} / \mathrm{m}^{2}$
B) $7.6 \times 10^{-6} \mathrm{C} / \mathrm{m}^{2}$
C) $1.5 \times 10^{-9} \mathrm{C} / \mathrm{m}^{2}$
D) $1.1 \times 10^{-7} \mathrm{C} / \mathrm{m}^{2}$
E) $1.5 \times 10^{-7} \mathrm{C} / \mathrm{m}^{2}$

Question 37

A hollow conducting spherical shell of radius $1.20 \mathrm{~cm}$ carries a charge of $-5.20 \mathrm{nC}$ . What is the electric field at a distance of $1.50 \mathrm{~cm}$ from the center of the shell?

A) $0 \mathrm{~N} / \mathrm{C}$
B) $1.03 \times 106 \mathrm{~N} / \mathrm{C}$ inward
C) $1.03 \times 106 \mathrm{~N} / \mathrm{C}$ outward
D) $2.08 \times 10^{5} \mathrm{~N} / \mathrm{C}$ inward
E) $2.08 \times 10^{5} \mathrm{~N} / \mathrm{C}$ outward

Question 38

A hollow conducting spherical shell of radius $1.50 \mathrm{~cm}$ carries a charge of $5.20 \mathrm{nC}$ . What is the electric field at a distance of $1.20 \mathrm{~cm}$ from the center of the shell?

A) $2.08 \times 10^{5} \mathrm{~N} / \mathrm{C}$ inward
B) $0 \mathrm{~N} / \mathrm{C}$
C) $2.08 \times 10^{5} \mathrm{~N} / \mathrm{C}$ outward
D) $3.25 \times 10^{5} \mathrm{~N} / \mathrm{C}$ inward
E) $1.03 \times 10^{6} \mathrm{~N} / \mathrm{C}$ outward
F) $1.03 \times 10^{6} \mathrm{~N} / \mathrm{C}$ inward.
G) $3.25 \times 10^{5} \mathrm{~N} / \mathrm{C}$ outward