The circuit shown in the figure consists of ideal batteries ɛ, =20V and E2 =20V, resistors R =6002, R1 =6002 and initially uncharged two capacitors with capacitances C, = C2 =10mF. The circuit is completed & when switch S is closed at time -0. Use the loop rules and the relationship between the charging current i and the charge q of the сараcitors 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.

The circuit shown in the figure consists of ideal batteries ɛ, =20V and E2 =20V, resistors R =6002, R1 =6002 and initially uncharged two capacitors with capacitances C, = C2 =10mF. The circuit is completed & when switch S is closed at time -0. Use the loop rules and the relationship between the charging current i and the charge q of the сараcitors 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.

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter21: Resistive-capacitive Series Circuits

Section: Chapter Questions

Problem 6RQ: A 15-F AC capacitor is connected in series with a 50 resistor. The capacitor has a voltage rating...

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