The circuit shown in the figure (Figure 1) consists of a 5.2-Vbattery, a 34-mH i

Question

The circuit shown in the figure (Figure 1) consists of a 5.2-Vbattery, a 34-mH inductor, and four 60-?resistors.

Part A Find the characteristic time for this circuit. Express your answer using two significant figures.

T=

Part B What is the current supplied by this battery two characteristic time intervals after closing the switch? Express your answer using two significant figures.

I=

Part C What is the current supplied by this battery a long time after the switch is closed? Express your answer using two significant figures.

I=

Explanation / Answer

R and R in series--> R+R=2R which is in parallel with R--->2R/3 , which is in series with R-->5R/3

Total resistance=5R/3=100 ohms

Characteristic time=L/Req=0.034/100=3.4*10-4 s

Current after 2 characteristic time intervals=(5.2/100)(1-e-2)=0.044 amperes

Current after a long time =5.2/100=0.052 amperes

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