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Problem 23.56 = 0.33 ms The circuit shown in the figure (Figure 1) consists of a

ID: 1876617 • Letter: P

Question

Problem 23.56 = 0.33 ms The circuit shown in the figure (Figure 1) consists of a 5.4-V battery, a 36-mH inductor, and four 65-S2 resistors revious Answers Correct Part B What is the current supplied by this battery two characteristic time intervals switch? Express your answer using two significant figures mA Submit revious Answers Request Answer Figure 1 of 1 X Incorrect; Try Again; 5 attempts remaining Part C What is the current supplied by this battery a long time after the switch is cl Express your answer using two significant figures mA

Explanation / Answer

part c) long time after switch is closed

inductor will behave as a short circuit

=> net resistance of the circuit Req = R + 2R*R/(3R) = 5R/3 = 5*65/3 = 108.333 ohm

SO current I = E/Req = 5.4/108.33 = 49.8 mA

part b) charateristic time constant T = L/Req = 36*10^-3/108.33 = 332.31*10^-6 sec

=> interval of two time constant => t = 2T = 664.62*10^-6 sec

I = Io*(1 - e^(-t/T))

=> I = 49.8*10^-3*( 1 - e^(-2)) = 43.077 mA

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