Electrons are circulating in a 0.58 m diameter cyclotron orbit in a uniform magn

ID: 2257180 • Letter: E

Question

Electrons are circulating in a 0.58 m diameter cyclotron orbit in a uniform magnetic field of 1.1 T. One

can think of these circulating electrons as a circular current loop with the same diameter. The magnetic

field is then rapidly increased at a constant rate of 2.5 T/s. What is the magnitude of the induced electric

field causing the electrons to increase their speed 25 ms after the magnetic field begins increasing? This is

the basis for accelerating electrons in a betatron.

A. 0.018 V/m

B. 0.36 V/m

C. 0.73 V/m

D. 7.0 V/m

E. 14 V/m.

D. 7.0 V/m