A conducting loop of finite resistance lies on the x-y plane. There is a constant magnetic field in the z direction. The area of the loop varies with time t, as A = A₀ (1 + sin t) in appropriate units

Question

A conducting loop of finite resistance lies on the x-y plane. There is a constant magnetic field in the z direction. The area of the loop varies with time t, as A = A₀ (1 + sin t) in appropriate units. The figure that correctly indicates the qualitative behaviour of the power P dissipated in the loo

Accepted Answer

Answer: (2) — ϕ = BA ϕ = BA₀(1 + sin t) e = −dϕ/dt = −BA₀ cos t ⇒ P = e²/R = B²A₀² cos²t/R P ∝ cos²t

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