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Algebra Based EM pre-review quiz

Total questions: 10

Worksheet time: 32mins

Name
Class
Date
1.

Two initially uncharged conductors, 1 and 2, are mounted on insulating stands and are in contact, as shown above. A negatively charged rod is brought near but does not touch them. With the rod held in place, conductor 2 is moved to the right by pushing its stand, so that the conductors are separated. Which of the following are now true of conductor 2? Choose two correct answers.

a)

It is uncharged.

b)

It is negatively charged.

c)

It is charged, but its sign cannot be predicted.

d)

It is at the same potential that it was before the charged rod was brought near.

e)

It is at a greater magnitude of potential than before the charged rod was brought near.

2.

An electric field of strength E lies in the plane of this page and points to the right. An electron (charge e) enters this field while moving to the right. Which of the following correctly describes the motion of the electron after entering the electric field?

a)

It has a constant velocity to the right

b)

It has a decreasing velocity to the right

c)

It has a decreasing velocity to the left

d)

It moves in a clockwise circular path with constant speed

e)

It moves in a counterclockwise circular path with constant speed

3.

An electric field of strength E lies in the plane of this page and points to the right. An electron (charge e) enters this field while moving to the right. What is the electric force on the electron?

a)

E/e

b)

e2/E

c)

eE

d)

e2E

e)

E/e2

4.

The graph to the right shows the electric potential V in a region of space as a function of position along the x-axis. At which point is the electric field strongest?

a)

A

b)

B

c)

C

d)

D

e)

E

5.

Two parallel conducting plates are a distance d apart. The negatively charged bottom plate is at a potential VB and the positively charged top plate is at a potential VT. What is the strength of the electric field between the plates?

a)

Unknown without knowing the quantity charge on each plate

b)

VT - VB

c)

d(VT – VB)

d)

(VT – V­B)/d

e)

Zero

6.

Refer to two charges located on the line shown in the figure below, in which the charge at point I is +2q and the charge at point III is -q. Point II is halfway between points I and III. Other than at infinity, the electric field strength is zero at a point on the line in which of the following ranges?

a)

To the left of I

b)

Between I and II

c)

Between II and III

d)

To the right of III

e)

None; the field is zero only at infinity.

7.

Refer to two charges located on the line shown in the figure below, in which the charge at point I is +2q and the charge at point III is -q. Point II is halfway between points I and III. The electric potential is negative at all points on the line in which of the following ranges?

a)

To the left of I

b)

Between I and II

c)

Between II and III

d)

To the right of III

e)

None; this potential is never negative.

8.

The figure shows two particles, each with a charge of +Q, that are located at the opposite corners of a square of side d. What is the charge at point P?

a)

Positive

b)

Negative

c)

There is a charge, but it is unknown

d)

None

9.

The figure shows two particles, each with a charge of +Q, that are located at the opposite corners of a square of side d. What is the force on a particle of charge +q that is held at point P? Note that  k=14πϵ0k=\frac{1}{4\pi\epsilon_0}  

a)

zero

b)

 24πϵ0 qQd2\frac{\sqrt{2}}{4\pi\epsilon_0}\ \frac{qQ}{d^2}  

c)

 14πϵ0 qQd2\frac{1}{4\pi\epsilon_0}\ \frac{qQ}{d^2}  

d)

 24πϵ0 qQd2\frac{2}{4\pi\epsilon_0}\ \frac{qQ}{d^2}  

e)

 224πϵ0 qQd2\frac{2\sqrt{2}}{4\pi\epsilon_0}\ \frac{qQ}{d^2}  

10.

The figure shows two particles, each with a charge of +Q, that are located at the opposite corners of a square of side d. What is the potential energy of a particle of charge +q that is held at point P? Note that  k=14πϵ0k=\frac{1}{4\pi\epsilon_0}  

a)

zero

b)

 24πϵ0 qQd\frac{\sqrt{2}}{4\pi\epsilon_0}\ \frac{qQ}{d^{ }}  

c)

 14πϵ0 qQd\frac{1}{4\pi\epsilon_0}\ \frac{qQ}{d^{ }}  

d)

 24πϵ0 qQd\frac{2}{4\pi\epsilon_0}\ \frac{qQ}{d^{ }}  

e)

 224πϵ0 qQd\frac{2\sqrt{2}}{4\pi\epsilon_0}\ \frac{qQ}{d^{ }}