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Question:

A 10.2 inductor with negligible resistance and a resistor are the only elements in a circuit in which a curren?

A 10.2*10^-6H inductor with negligible resistance and a resistor are the only elements in a circuit in which a current is flowing.What must be the value of the resistor so that the current will decrease to 50.0% of its maximum value in 1.10ms ?

Answer:

I Io e^(-t/τ) and τ L/R Given I/Io 0.5 e^(-1.1e-3/τ) Taking log to the base e and Solving we get τ L/R 0.00158690 R 10.2 /0.00158690 6428 ?

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