A closed loop conductor that forms a circle with a radius of 2.0 m is located in a uniform but changing magnetic field. If the maximum emf induced in the loop is 5.0 V, what is the maximum rate at which the magnetic field strength is changing if the magnetic field is oriented perpendicular to the plane in which the loop lies?
A) 0.40 T/s
B) 2.5 T/s
C) 0.080 T/s
D) 5.0 T/s

Question

Quizplus · Accepted Answer

The maximum emf (ε) is given by Faraday's law: ε = -dΦ/dt, where Φ is the magnetic flux. For a circular loop, Φ = B * A = B * π * r^2. Given ε = 5.0 V, r = 2.0 m, and A = π * (2.0)^2, solve for dB/dt: 5.0 = π * (2.0)^2 * dB/dt, giving dB/dt = 0.40 T/s.

A Closed Loop Conductor That Forms a Circle with a Radius