Q: A $$5.0 \times 10$$^{-4}$$\ \mathrm{kg}$$ particle with a charge of $$4.0\ \mathrm{C} is $$placed in a uniform electric field of $$600\ \mathrm{N/C}. $$What is the acceleration of the particle?

$$a = 4.8 \times 10$$^{6}$$\ \mathrm{m/s^2$}$$

Q: A proton is placed between two parallel plates with a $$120\ \mathrm{V}$$ potential difference separated by $$0.15\ \mathrm{m}. $$What is the acceleration of the proton?

$$a = 7.6 \times 10$$^{10}$$\ \mathrm{m/s^2$}$$

Q: A non-conducting sphere has a total charge of $$9\ \mathrm{C}$$ evenly distributed throughout its volume. What is the electric field at $$r = 3.5\ \mathrm{cm}$$ from the center?

$$E = 6.6 \times 10$$^{13}$$\ \mathrm{N/C}$$

Q: A $$3\ \mathrm{C}$$ charge is placed at the center of a sphere with radius $$5.0\ \mathrm{cm}. $$What is the electric field on the surface of the sphere?

$$E = 1.08 \times 10$$^{13}$$\ \mathrm{N/C}$$

Q: Consider two parallel plates $$0.6\ \mathrm{m}$$ apart. What voltage is required between the plates for an electron to experience a force of $$500\ \mathrm{N}$$?

$$V = -1.88 \times 10$$^{21}$$\ \mathrm{V}$$

Q: Two parallel plates are $$0.3\ \mathrm{m}$$ apart and produce a uniform electric field of $$300\ \mathrm{N/C}. If a $$proton starts at rest at the positive plate, what is its kinetic energy just before it reaches the negative plate?

$$K = 1.44 \times 10$$^{-18}$$\ \mathrm{J}$$

Q: A proton is released from rest in a uniform electric field between two parallel plates with a $$120\ \mathrm{V}$$ potential difference and $$0.15\ \mathrm{m}$$ separation. What is the magnitude of the force on the proton?

$$F = 1.28 \times 10$$^{-17}$$\ \mathrm{N}$$

Q: If the electric field at a distance $$r$$ from a point charge $$Q is $$given by $$E = kQ/r^2$, what is the value of E$ at r = 0.05$$\ \mathrm{m}$$ for Q = 3$$\ \mathrm{C}$$?

$$E = 1.08 \times 10$$^{13}$$\ \mathrm{N/C}$$

Q: A proton is accelerated from rest through a potential difference of $$90\ \mathrm{V}. $$What is its change in kinetic energy?

$$\Delta K = 1.44 \times 10$$^{-17}$$\ \mathrm{J}$$

Question 1

Two point charges, $$q_1 = 2$$ 	imes $$10^{-6}$$\ \mathrm{C}$$ at the origin and q_2$ = -5 	imes 10$$^{-6}$$\ \mathrm{C} at$$ $$x = 1.0\ \mathrm{m}$$, are placed on the x-axis. At what position between the charges is the electric potential zero?

Accepted Answer

$$x = 0.29\ \mathrm{m}$$

Question 2

A $$5.0 	imes 10$$^{-4}$$\ \mathrm{kg}$$ particle with a charge of $$4.0\ \mathrm{C} is $$placed in a uniform electric field of $$600\ \mathrm{N/C}. $$What is the acceleration of the particle?

Accepted Answer

$$a = 4.8 	imes 10$$^{6}$$\ \mathrm{m/s^2$}$$

Question 3

A proton is placed between two parallel plates with a $$120\ \mathrm{V}$$ potential difference separated by $$0.15\ \mathrm{m}. $$What is the acceleration of the proton?

Accepted Answer

$$a = 7.6 	imes 10$$^{10}$$\ \mathrm{m/s^2$}$$

Question 4

A non-conducting sphere has a total charge of $$9\ \mathrm{C}$$ evenly distributed throughout its volume. What is the electric field at $$r = 3.5\ \mathrm{cm}$$ from the center?

Accepted Answer

$$E = 6.6 	imes 10$$^{13}$$\ \mathrm{N/C}$$

Question 5

A $$3\ \mathrm{C}$$ charge is placed at the center of a sphere with radius $$5.0\ \mathrm{cm}. $$What is the electric field on the surface of the sphere?

Accepted Answer

$$E = 1.08 	imes 10$$^{13}$$\ \mathrm{N/C}$$

Question 6

A cube with side length $$8.5\ \mathrm{cm} is $$placed in a uniform electric field of $$7500\ \mathrm{N/C}$$ directed perpendicular to two faces. What is the net electric flux through the cube?

Accepted Answer

$$\Phi_{net} = 0$$

Question 7

Three charges are placed at the corners of a triangle: $$q_1 = 0.71$$\ \mu\mathrm{C}$$, q_2$ = -0.67\ \mu\mathrm{C}$$, and $$q_3 = 1.0$$\ \mu\mathrm{C}$$. If q_3$ is at (0$$,0)$$, q_1$ at (0.1$$, 0)$$, and q_2$ at (0.08$$, 0.06)$$ (all in meters), what is the magnitude of the net force on q_3$?

Accepted Answer

$$F = 1.39\ \mathrm{N}$$

Question 8

A $$5.0 	imes 10$$^{-4}$$\ \mathrm{kg}$$ particle with a charge of $$4.0\ \mathrm{C} is $$placed in a uniform electric field of $$600\ \mathrm{N/C}. $$How long does it take to travel $$2.0 	imes 10^8$\ \mathrm{m}$$ starting from rest?

Accepted Answer

$$t = 9.13\ \mathrm{s}$$

Question 9

Consider two parallel plates $$0.6\ \mathrm{m}$$ apart. What voltage is required between the plates for an electron to experience a force of $$500\ \mathrm{N}$$?

Accepted Answer

$$V = -1.88 	imes 10$$^{21}$$\ \mathrm{V}$$

Question 10

Two parallel plates are $$0.3\ \mathrm{m}$$ apart and produce a uniform electric field of $$300\ \mathrm{N/C}. If a $$proton starts at rest at the positive plate, what is its kinetic energy just before it reaches the negative plate?

Accepted Answer

$$K = 1.44 	imes 10$$^{-18}$$\ \mathrm{J}$$

Question 11

A point charge $$Q is $$placed at the center of a conducting spherical shell. What is the electric field inside the shell (but outside the center charge)?

Accepted Answer

$$E = 0$$

Question 12

Which of the following correctly expresses the electric potential $$V at a $$point due to two point charges $$q_1$$ and $$q_2$$ located at distances $$r_1$$ and $$r_2$$ from the point?

Accepted Answer

$$V = k\left(\dfrac{q_1$}{r_1$} + \dfrac{q_2$}{r_2$}\right)$$

Question 13

A cube is placed in a uniform electric field such that the field is perpendicular to two of its faces. What is the electric flux through each of the four side faces?

Accepted Answer

$$\Phi_{side} = 0$$

Question 14

A proton is released from rest in a uniform electric field between two parallel plates with a $$120\ \mathrm{V}$$ potential difference and $$0.15\ \mathrm{m}$$ separation. What is the magnitude of the force on the proton?

Accepted Answer

$$F = 1.28 	imes 10$$^{-17}$$\ \mathrm{N}$$

Question 15

If the electric field at a distance $$r$$ from a point charge $$Q is $$given by $$E = kQ/r^2$, what is the value of E$ at r = 0.05$$\ \mathrm{m}$$ for Q = 3$$\ \mathrm{C}$$?

Accepted Answer

$$E = 1.08 	imes 10$$^{13}$$\ \mathrm{N/C}$$

Question 16

A proton is accelerated from rest through a potential difference of $$90\ \mathrm{V}. $$What is its change in kinetic energy?

Accepted Answer

$$\Delta K = 1.44 	imes 10$$^{-17}$$\ \mathrm{J}$$

Question 17

Which of the following best describes the direction of the electric field at a point outside a uniformly charged non-conducting sphere?

Accepted Answer

Radially outward from the center if the charge is positive

Question 18

A charge $$q is $$placed in a uniform electric field $$E. $$What is the work done by the field when the charge moves a distance $$d$$ parallel to the field?

Accepted Answer

$$W = qEd$$

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