1. An inductor is connected to the terminals of a battery that has an emf of 12.0V and negligible internal resistance. The current is 4.80mA at 0.745 ms after the connections is completed. After a long time the current is 6.40 mA. What is a) The resistance R of the inductor? b) The inductance L of the inductor?

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9 February, 00:20

1. An inductor is connected to the terminals of a battery that has an emf of 12.0V and negligible internal resistance. The current is 4.80mA at 0.745 ms after the connections is completed. After a long time the current is 6.40 mA. What is a) The resistance R of the inductor? b) The inductance L of the inductor?

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Hope Gould · Answer 1

We get the resistance of the inductor from the long-term [equilibrium] current and the voltage, as the current has stopped changing, so the L (di/dt) contribution is zero. R=V/I = 12v/.0064amp = 1875 ohm. The current approaches equilibrium as i/i' = 1-exp (-Rt/L), and i/i'=4.8/6.4=.75, which allows calculation of Rt/L, knowing t and R, as we do. I got L=1h, but I have not the time to re-check my calculations.