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A 276-V battery, an inductor, and a 33 ? resistor are connected in series as sho

ID: 2032989 • Letter: A

Question

A 276-V battery, an inductor, and a 33 ? 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 long enough for the circuit to reach steady-state is then suddenly moved to position 2 Av AV (i (a) What is the voltage across the resistor after the switch has been in position 2 for five time constants? (b) At this same time, what is the magnitude of the current through the resistor?

Explanation / Answer

a) in a LR series circuit, when switch is changed the magnetic flux related with the coil suddenly vanishes, hence a large induced emf and current would be produced which would then gradually go out. after 5 time constant the inductor would loose all its inductance and 0 voltage would be dropped.

b) since their is 0 voltage current would also be 0.

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