Question

A circuit is constructed with four resistors, one inductor, one battery and a switch as shown. The values for the resistors are: R = R2 = 622, R3 = 91 and R - 74 . The inductance is L-205 mH and the battery voltage is V - 24V. v + Lun lai 1) The switch has been open for a long time when at time t = 0, the switch is closed. What is 1(O), the magnitude of the current through the resistor Ry just after the switch is closed? A Submit 2) What is 1 ), the magnitude of the current that flows through the resistor R, a very long time after the switch has been closed? A Submit 3) What is V. (O), the magnitude of the voltage across the inductor just after the switch is closed? V Submit 4) What is I(-), the magnitude of the current through the inductor after the switch has been closed for a very long time? A Submit 5) What is 12(0), the magnitude of the current through the resistor R, just after the switch is closed? A Submit

Answer 1

1)

Immediately after switch is closed at t=0 ,inductor will act as open circuit .Therefore

I1(0) = 24/(62+62+91+74) = 0.083045 A

2)

After a Very long time switch is closed ,inductor will act as short circuit .Therefore

$I_{1}\left ( \infty \right )=\frac{24}{62+74}=0.17647 A$

3)

4)

24 IL (0) = 62 + 74 62 + 74 = 0.17647.4

5)

$I_{2}\left ( 0 )=0.083045 A$