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A 236-V battery, an inductor, and a resistor are connected in series as shown in

ID: 1731460 • Letter: A

Question

A 236-V battery, an inductor, and a resistor are connected in series as shown in the diagram below. A two-way switch makes it possible to include or exclude the battery. The switch that had been in position 1 for a long time is suddenly moved to position 2. (Enter your answers to at least two decimal places.)

a)  What is the voltage across the resistor at the end of four time constants? (Assume the potential difference across the resistor is positive.)

b) At this time, what is the voltage across the inductor?

Explanation / Answer

Voltage across resistor, Vr = V e-t/T = 236 e-4 = 4.32 V

Voltage across inductor, Vl = - V e-t/T = - 236 e-4 = - 4.32 V

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