The plane of a circular,200-turn coil of radius 5.25 cm is perpendicular to a uniform magnetic field produced by a large electromagnet.This field is changed at a steady rate from 0.650 T to 0.150 T in 0.0100 s.What is the magnitude of the EMF induced in the coil?
A)110 V
B)170 V
C)1.7 V
D)26 V
E)87 V

Question

Quizplus · Accepted Answer

The EMF induced in the coil can be calculated using Faraday's law of electromagnetic induction: EMF = -N * (ΔΦ/Δt), where N is the number of turns, ΔΦ is the change in magnetic flux, and Δt is the change in time. The change in magnetic flux ΔΦ = A * ΔB, where A is the area of the coil and ΔB is the change in magnetic field. The area A = π * r^2, where r is the radius of the coil. Substituting the values, we get EMF = 200 * π * (0.0525)^2 * (0.650 - 0.150) / 0.0100 = 87 V.

The Plane of a Circular,200-Turn Coil of Radius 5