Question

<Assignment10 Alternative Exercise 23.107 7 of 25 Review IP Consider the circut shown in the figure, which contains a 70-V battery, a 45-mH inductor, and four 57-1 resistors. (Figure 1) Calculate the energy stored in the inductor one characteristic time interval after the switch is closed. Express your answer using two significant figures. Figure (1 of 1 > 0 AED x 6 x Vx X 1X1 x 10" +0000 U. 38 E ww Sube Previous Answers Request Answer w R * Incorrect; Try Again; One attempt remaining

Answer 1

The total resistance is

$r=R+(1/R+1/2R)^{-1}=5R/3 = 5 \times 57/3 =95\,\Omega$

the current in the circuit 1 characteristic time interval after the switch is closed is

The energy stored in the circuit 1 characteristic time interval after the switch is closed is

$U=LI^2/2=0.045\times 0.0466^2/2=48.81\times 10^{-6}J = 48.81\,\mu J$

The current in the circuit in steady state is

$I=V/r=7/95=0.0737\,A$

The energy stored in the inductor after a long time is

$U=LI^2/2=0.045\times 0.0737^2/2==122.2\times 10^{-6}J = 122.2\,\mu J$