What is the current I (3 ? ) at a time after t =0 equal to three times the time

Question

What is the current I(3?) at a time after t=0 equal to three times the time constant?

Express your answer in amperes.

Consider an L-R circuit as shown in the figure. (Figure 1) The battery provides 12.0V of voltage. The inductor has inductance L , and the resistor has resistance R = 150? . The switch is initially open as shown. At time t=0 , the switch is closed. At time t after t=0 the current I(t) flows through the circuit as indicated in the figure. hat is the current I(3?) at a time after t=0 equal to three times the time constant? Express your answer in amperes.

Explanation / Answer

Apply I = E/R(1 - e-3)

I = (12/150)(1 - e-3)

I = .076 Amps (That is 76 mA)

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