a)
Immediately after switch is closed at t=0 ,inductor will act as open circuit .Therefore equivalent resistor is
R=27+68+85 =180 ohms
The Magnitude of current through the resistor R4 is
I4(0)=V/R =12/180 =0.066666667 A
b)
After Long time switch is closed ,inductor will act as short circuit .therefore
R=27 + 85 +(1/27 +1/68)^-1 = 131.33 ohms
The Magnitude of current through the resistor R4 is
I4(infinity)=V/R =12/131.33=0.09137544 A
c)
Current through the inductor is
IL(infinity)=0.09137544*(68/68+27) =0.047719298 A
d)
With switch opened ,time constant is
T=L/(R2+R3) = 320/(27+68) =3.368421053 ms
For RL circuit discharging
I=-Ioe-t/T
I = -0.047719298e-8.1/3.368421053
I=-0.004308752359 A
e)
Maximum Voltage across the inductor when the swithc is closed is
VL,max(closed)=0.06666667*68=4.5333333 V
f)
Maximum Voltage across the inductor when the switch is open is
VL,max(open)=0.047719298*(27+68)=4.5333333 V
2) What is 1(), the magnitude of the current through the resistor R after the switch...
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