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Problem 6 - Olympiad

A circular loop of radius R is placed in a magnetic field B(t) = B₀ sin ωt. Derive the induced current as a function of time if resistance is R₀.

Correct: B

Φ = B*A = B₀ sin ωt * πR². EMF = -dΦ/dt = -B₀ ω πR² cos ωt. I = EMF/R₀ = -(B₀ ω πR²/R₀) cos ωt. Magnitude only considered here.