Question on: SS1 Physics - Electricity and Magnetism
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?
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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
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