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Consider an L-R circuit as shown in the figure. (Figure 1) The battery provides

ID: 1321328 • Letter: C

Question

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.

If the time constant characteristic of this circuit is 4.0010?4s , what is L , the inductance of the inductor?

Express your answer in millihenries.

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. If the time constant characteristic of this circuit is 4.00½10?4s , what is L , the inductance of the inductor? Express your answer in millihenries.

Explanation / Answer

Time Constant

T=L/R

=>L=T*R =4*10-4*150

L=0.06 H or 60 mH