In the figure below, a 9.94 V ideal battery, a 23.4 ? resistor, and an inductor

Question

In the figure below, a 9.94 V ideal battery, a 23.4 ? resistor, and an inductor are connected by a switch at time t = 0. At what rate is the battery transferring energy to the inductor's field at t = 1.90?L?

Please show work and type out your answer.

In the figure below, a 9.94 V ideal battery, a 23.4 ? resistor, and an inductor are connected by a switch at time t = 0. At what rate is the battery transferring energy to the inductor's field at t = 1.90?L? Please show work and type out your answer.

Explanation / Answer

P = L i (di/dt)

P = L {(V/R) (1 - e^(-tR/L))} {(V/L) (e^(-tR/L))}

P = (V^2/R) e^(-tR/L) (1 - e^(-tR/L))

P = (9.94*9.94/23.4) * e^(-1.90) * (1 - e^(-1.90))

P = 0.537 Watt

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