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.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter10: Direct-current Circuits

Section: Chapter Questions

Problem 87AP: A 160F capacitor charged to 450 V is dischargedthrough a 31.2k resistor, (a) Find the time...

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