A circuit is constructed with four resistors, one inductor, one battery and a switch as shown. The values for the resistors are: R1 = R2 = 39 Q, R3 = 62 Q and R4 = 126 Q. The inductance isL = 362 mH and the battery voltage is V = 12 V. The positive terminal of the battery is indicated with a + sign. R, %3D R3 L R2 1) The switch has been open for a long time when at time t = 0, the switch is closed. What is l4(0), the magnitude of the current through the resistor R4 just after the switch is closed? 0.05286 A Submit 2) What is l4(0), the magnitude of the current through the resistor R4 after the switch has been closed for a very long time? 0.06351 A Submit 3) What is IL(00), the magnitude of the current through the inductor after the switch has been closed for a very long time? 0.0389 A Submit

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter33: Inductors And Ac Circuits
Section: Chapter Questions
Problem 70PQ
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A circuit is constructed with four resistors,
one inductor, one battery and a switch as
shown. The values for the resistors are: R1
R,
ww
%3D
R2 = 39 Q, R3 = 62 Q and R4 = 126 Q. The
inductance isL = 362 mH and the battery
voltage is V = 12 V. The positive terminal of
the battery is indicated with a + sign.
1) The switch has been open for a long time when at time t = 0, the switch
is closed. What is l4(0), the magnitude of the current through the resistor
R4 just after the switch is closed?
0.05286
Submit
+)
2)
What is l4(00), the magnitude of the current through the resistor R4
after the switch has been closed for a very long time?
0.06351
A Submit
3) What is IL(00), the magnitude of the current through the inductor after
the switch has been closed for a very long time?
0.0389
Submit
+
4) After the switch has been closed for a very long time, it is then opened.
What is I3(topen), the current through the resistor R3 at a time topen = 6.8
ms after the switch was opened? The positive direction for the current is
indicated in the figure.
A Submit
5) What is VL.max(closed), the magnitude of the maximum voltage across
the inductor during the time when the switch is closed?
3.277
V Submit
6) What is VL,max(open), the magnitude of the maximum voltage across
the inductor during the time when the switch is open?
V Submit
Transcribed Image Text:A circuit is constructed with four resistors, one inductor, one battery and a switch as shown. The values for the resistors are: R1 R, ww %3D R2 = 39 Q, R3 = 62 Q and R4 = 126 Q. The inductance isL = 362 mH and the battery voltage is V = 12 V. The positive terminal of the battery is indicated with a + sign. 1) The switch has been open for a long time when at time t = 0, the switch is closed. What is l4(0), the magnitude of the current through the resistor R4 just after the switch is closed? 0.05286 Submit +) 2) What is l4(00), the magnitude of the current through the resistor R4 after the switch has been closed for a very long time? 0.06351 A Submit 3) What is IL(00), the magnitude of the current through the inductor after the switch has been closed for a very long time? 0.0389 Submit + 4) After the switch has been closed for a very long time, it is then opened. What is I3(topen), the current through the resistor R3 at a time topen = 6.8 ms after the switch was opened? The positive direction for the current is indicated in the figure. A Submit 5) What is VL.max(closed), the magnitude of the maximum voltage across the inductor during the time when the switch is closed? 3.277 V Submit 6) What is VL,max(open), the magnitude of the maximum voltage across the inductor during the time when the switch is open? V Submit
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