The flux linked with each turn of a coil of N turns changes from φ₁ to φ₂. If the total resistance of the circuit including the coil is R, the charge induced in the coil is .

Question

Accepted Answer

(2) (N(φ₂-φ₁))/R. Given: flux per turn changes from φ₁ to φ₂; N turns; total resistance R. Idea: the induced emf drives a current through the resistance, and charge is current multiplied by time. Average emf over the change (taking time t): ε = (N(φ₂-φ₁))/t in magnitude. Average current: I = ε/R = (N(φ₂-φ₁))/(Rt). Charge: q = It = (N(φ₂-φ₁))/R. The time cancels: the charge depends only on the change in flux linkage and the resistance, not on how fast the change happens. So q = (N(φ₂-φ₁))/R.

The flux linked with each turn of a coil of N turns changes from φ₁ to φ₂. If the total resistance of the circuit including the coil is R, the charge induced in the coil is ______.

Step-by-step solution

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