Question

The circuit shown in the figure (Figure 1) consists of a 5.4-Vbattery, a 39-mH inductor, and four 57-? resistors.

A. Find the characteristic time for this circuit.

B. What is the current supplied by this battery two characteristic time intervals after closing the switch?

C. What is the current supplied by this battery a long time after the switch is closed?

Answer 1

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R_eff = (57+57)||57 +57 = 38+57 = 95 ohms

(a)

thus T= L/R = (39/1000)/95 = 4.105263*10^-4 sec

(b)

i = i₀(1-e^-2) = (5.4/95)*(1- e^-2) = 0.049149 A

(c)

i = i₀ = (5.4/95) = 0.056842 A

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