Question

A 0.250 m radius, 500-turn coil is rotated one-fourth of a revolution in 4.17 ms. Find the magnetic field strength needed to induce an average emf of 10,000 V.

(A) 0.12 T
(B) 0.24 T
(C) 0.36 T
(D) 0.48 T

Answer 1

To find the magnetic field strength needed to induce an average emf of 10,000 V, we can use Faraday's law of electromagnetic induction.

Step-by-step explanation:

To find the magnetic field strength needed to induce an average emf of 10,000 V, we can use Faraday's law of electromagnetic induction. Faraday's law states that the emf induced in a coil is directly proportional to the rate of change of magnetic flux through the coil.

The magnetic flux through the coil can be calculated using the formula: magnetic flux = magnetic field strength x area of the coil.

In this case, the coil has a radius of 0.250 m, so the area of the coil is pi x (0.250)^2. We can rearrange the formula to solve for the magnetic field strength, which gives us:

magnetic field strength = emf / (number of turns x rate of change of magnetic flux)

Using the given values, the magnetic field strength needed to induce the average emf of 10,000 V is approximately 0.12 T.