A circular loop with a radius of 0 1 m is place... - SS1 Physics Electricity and Magnetism Question

A circular loop with a radius of 0.1 m is placed perpendicular to a magnetic field of 0.5 T. If the magnetic field collapses to zero in 0.1 seconds, what is the magnitude of the induced emf in the loop?

The magnitude of the induced emf can be calculated using Faraday's law:

induced emf = -N x (ΔΦ/Δt)

The change in magnetic flux can be calculated as ΔΦ = B x A, where B is the magnetic field and A is the area of the loop.

Given: r = 0.1 m, B = 0.5 T, Δt = 0.1 s

Area of the loop, A = π x r2 = 3.14 x (0.1)2 = 0.0314 m2

ΔΦ = B x A = 0.5 x 0.0314 = 0.0157 Wb

induced emf = -N x (ΔΦ/Δt) = -1 * (0.0157/0.1) = -0.157 V

Please share this, thanks: