A loop of resistance R experiences a flux Φ = Φ₀ $e^(-t/τ).$ What total magnitude of charge passes through a section of the loop from t = 0 to t → ∞, neglecting self-inductance?
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Question

A loop of resistance R experiences a flux Φ = Φ₀e^(−t/τ). What total magnitude of charge passes through a section of the loop from t = 0 to t → ∞, neglecting self-inductance?

G1 Physics · Accepted Answer

The flux changes from Φ₀ to 0. Hence total charge magnitude is |ΔΦ|/R = Φ₀/R, independent of τ.