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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