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.

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.