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The magnetic field B, at all points within a circular region of radius R, is uni

ID: 2121918 • Letter: T

Question

The magnetic field B, at all points within a circular region of radius R, is uniform in space and directed into the plane of the page as shown in the figure (Figure 1) . (The region could be a cross section inside the windings of a long, straight solenoid.)

1) If the magnetic field is increasing at a rate dB/dt, what is the magnitude of the force on a stationary positive point charge q located at point a? (Point a is a distance r above the center of the region.)

a=(qr) dB/dt

b=(1/2)q dB/dt

c=q dB/dt

d=(1/2)qr dB/dt

2) If the magnetic field is increasing at a rate dB/dt, what are the direction of the force on a stationary positive point charge q located at point a?

a= up

b= down

c= left

d= right

e= 0

3) If the magnetic field is increasing at a rate dB/dt, what is the magnitude of the force on a stationary positive point charge q located at point b?

a= (1/2)q dB/dt

b= (1/2)qr dB/dt

c= q dB/dt

d= qr dB/dt

4) If the magnetic field is increasing at a rate dB/dt, what is the direction of the force on a stationary positive point charge q located at point b?

a= 0

b= up

c= right

d= left

e= down

5) If the magnetic field is increasing at a rate dB/dt, what is the magnitude of the force on a stationary positive point charge q located at point c?

F=?

6) If the magnetic field is increasing at a rate dB/dt, what is the direction of the force on a stationary positive point charge q located at point c?

a= left

b= up

c= down

d= 0

e= right

Explanation / Answer

The correct answers are

A) (1/2)qr(dB/dt)

B) Left

C) (1/2)qr(dB/dt)

D) Up

E) 0

F) zero