The circuit shown in the figure consists of ideal batteries ɛ =20V and ɛ2 =20V, resistors R =6002, R1 =6002 and initially uncharged two capacitors with capacitances C, = C, =10mF. The circuit is completed &- when switch S is closed at time =0. Use the loop rules and the relationship between the charging current į and the charge q of the capacitors R R a) to obtain a differential equation that allows you to determine how the charge q of the capacitors varies with time. b) What are the capacitor charges if the switch S is closed for a long time? c) Find the current through the battery & at time t=3 s after the switch closes.

The circuit shown in the figure consists of ideal batteries ɛ =20V and ɛ2 =20V, resistors R =6002, R1 =6002 and initially uncharged two capacitors with capacitances C, = C, =10mF. The circuit is completed &- when switch S is closed at time =0. Use the loop rules and the relationship between the charging current į and the charge q of the capacitors R R a) to obtain a differential equation that allows you to determine how the charge q of the capacitors varies with time. b) What are the capacitor charges if the switch S is closed for a long time? c) Find the current through the battery & at time t=3 s after the switch closes.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter21: Circuits And Dc Instruments

Section: Chapter Questions

Problem 38CQ: In Figure 21.41. does the graph indicate the time constant is shorter for discharging than for...

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The circuit shown in the figure consists of ideal batteries &, =20V and Ez =20V, resistors R =6002, R, =6002 and initially uncharged two capacitors with capacitances C, = C2 =10mF. The circuit is completed R, when switch S is closed at time t-0. Use the loop rules and the relationship between the charging current i and the charge q of the capacitors R a) to obtain a differential equation that allows you to determine how the charge q of the capacitors varies with time. b) What are the capacitor charges if the switch S is closed for a long time? c) Find the current through the battery ɛ, at time t= 3 s after the switch closes.
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