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.

Question

Quizplus · Accepted Answer

The induced electric field can be calculated using Faraday's law of electromagnetic induction. The rate of change of magnetic flux through the loop is given by the product of the rate of change of the magnetic field and the area of the loop. The induced electric field is then the rate of change of magnetic flux divided by the circumference of the loop. Using these calculations, the induced electric field is found to be 0.36 V/m.

Electrons Are Circulating in a 0