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moving charge in electric field

Total questions: 13

Worksheet time: 15mins

Name
Class
Date
1.

An electron is in a uniform magnetic field B that is directed out of the plane of the page, as shown above. When the electron is moving in the plane of the page in the direction indicated by the arrow, the force on the electron is directed

a)

toward the right

b)

out of the page

c)

into the page

d)

toward the top of the page

e)

toward the bottom of the page

2.

A particle of charge +Q moving with speed v0 enters a region of constant magnetic field B directed into the page, as shown above. The initial direction and magnitude of the acceleration of the particle as it enters the magnetic field is toward the

a)

bottom of the page and proportional to B

b)

bottom of the page and proportional to v0

c)

top of the page and inversely proportional to v0

d)

top of the page and inversely proportional to B

e)

top of the page and proportional to both B and v0

3.

A beam of protons moves parallel to the x-axis in the positive x-direction, as shown above, through a region of crossed electric and magnetic fields balanced for zero deflection of the beam. If the magnetic field is pointed in the positive y-direction, in what direction must the electric field be pointed?

a)

Positive y-direction

b)

Positive z-direction

c)

Negative x-direction

d)

Negative y-direction

e)

Negative z-direction

4.

As shown above, a positively charged particle moves to the right without deflection through a pair of charged plates. Between the plates are a uniform electric field E of magnitude 6.0 N/C and a uniform magnetic field B of magnitude 2.0 T, directed as shown in the figure. The speed of the particle is most nearly

a)

0.33 m/s

b)

0.66 m/s

c)

3.0 m/s

d)

12 m/s

e)

18 m/s

5.

A proton traveling with speed v enters a uniform electric field of magnitude E, directed parallel to the plane of the page, as shown in the figure above. There is also a magnetic force on the proton that is in the direction opposite to that of the electric force. If e represents the magnitude of the proton charge, what minimum magnitude of the magnetic field could balance the electric force on the proton?

a)

E/v

b)

eE/v

c)

vE

d)

eE

e)

evE

6.

A proton traveling with speed v enters a uniform electric field of magnitude E, directed parallel to the plane of the page, as shown in the figure above. There is also a magnetic force on the proton that is in the direction opposite to that of the electric force. Which of the following is a possible direction for the magnetic field?

a)
b)
c)
d)
e)
7.

A charged particle is injected into a uniform magnetic field such that its velocity vector is perpendicular to the magnetic field vector. Ignoring the particle's weight, the particle will ____:

a)

move in a straight line

b)

follow a spiral path

c)

move along a parabolic path

d)

move along a waveform

e)

follow a circular path

8.

A small object with a charge of 𝑞 = +3.0 μ𝐶 and a mass 𝑚 = 2.0 × 10-6 𝑘𝑔 enters a magnetic field of magnitude 𝐵 = 0.20 𝑇 directed into the page, as shown in the figure below. If the speed of the object is 1000 𝑚/𝑠, the object’s acceleration at the moment it enters the field is most nearly ______.

a)

zero because the velocity is perpendicular to the magnetic field

b)

300 m/s2 toward the bottom of the page

c)

300 m/s2 toward the top of the page

d)

600 m/s2 toward the bottom of the page

e)

600 m/s2 toward the top of the page

9.

A particle carrying a charge of +e travels in a circular path in a uniform magnetic field. If instead the particle carried a charge of +2e, the radius of the circular path would have been ____.

a)

twice the original radius

b)

four times the original radius

c)

the same as the original radius

d)

one-half the original radius

e)

one-fourth the original radius

10.

A stationary proton is in a uniform magnetic field of 0.20 T. What is the magnitude of the magnetic force on the proton?

a)

zero

b)

1.6 × 10-21 𝑁

c)

3.2 × 10-21 𝑁

d)

1.6 × 10-20 𝑁

e)

3.2 × 10-20 𝑁

11.

A proton travels at a speed of 5.0 × 107 𝑚/𝑠 through a 1.0 𝑇 magnetic field. What is the magnitude of the magnetic force which acts on the proton if the angle between the proton's velocity and the magnetic field vector is 30°?

a)

2.0×10-14 𝑁

b)

4.0×10-14 𝑁

c)

2.0×10-12 𝑁

d)

4.0×10-12 𝑁

e)

6.0×10-12 𝑁

12.

Uniform magnetic and electric fields exist between the two oppositely charged parallel plates shown in the figure below. An electron travels horizontally between the plates. Assuming gravitational effects to be negligible, which of the following diagrams shows a combination of electric and magnetic field directions that will allow the electron to travel un-deflected?

a)
b)
c)
d)
e)
13.

Four small particles are seen moving through an area with the magnetic field going out of the page. Which of the following statements is consistent with the diagram?

a)

All the particles are positively charges but have different mass

b)

All the particles have same mass, but different charges

c)

Two particles are positive while one is negative

d)

Two particles are negative while one is positive

e)

You can only ascertain that all are charged