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A circuit has resistance R. If the magnetic flux linked with it changes by an amount ΔΦ in a time interval Δt, the total charge Q that flows through any cross-section of the circuit during that interval is given by
- Q = R·ΔΦ/Δt
- Q = (1/R)·ΔΦ/Δt
- Q = ΔΦ/R
- Q = ΔΦ/Δt
Correct answer: Q = ΔΦ/R
Solution
Q = integral(I dt) = (1/R)*integral(dPhi/dt dt) = delta_Phi / R. The time interval cancels out.
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