APFIVE Induced EMF in Concentric Loops
Two concentric circular loops lie in the same plane. The inner loop has radius r₁ and the outer loop has radius r₂. If the current in the inner loop changes at a rate of dI/dt, what is the magnitude of the induced emf in the outer loop?
A
μ₀πr₁r₂(dI/dt)
B
μ₀πr₁²r₂(dI/dt)
C
μ₀√(r₁r₂)[(2/k)((1 - k²/2)K(k) - E(k))]·(dI/dt), where k² = 4r₁r₂/(r₁ + r₂)² and K, E are the complete elliptic integrals of the first and second kinds
D
μ₀π(r₂² - r₁²)(dI/dt)/(2r₂)
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