An L-R circuit is connected to a constant-emf battery E and the switch is closed at t=0. If e is the magnitude of the induced emf across the inductor and i is the circuit current, which graph represents e versus i?
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Question

An L-R circuit is connected to a constant-emf battery E and the switch is closed at t=0. If e is the magnitude of the induced emf across the inductor and i is the circuit current, which graph represents e versus i?

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G1 Physics · Accepted Answer

Use εₗ=-L(dI/dt), U=½LI², and for mutual induction ε₂=-M(dI₁/dt). Applying the stated geometry/circuit condition gives Image 1.