A circuit is constructed with four resistors, one capacitor, one battery and a switch as shown. The values for the resistors are: R₁ = R₂ = 25 ?, R₃ = 116 ? and R₄ = 107 ?. The capacitance is C = 61 ?F and the battery voltage is V = 12 V. The positive terminal of the battery is indicated with a + sign.

1)

The switch has been open for a long time when at time t = 0, the switch is closed. What is I₄(0), the magnitude of the current through the resistor R₄ just after the switch is closed? A

2)

What is Q(?), the charge on the capacitor after the switch has been closed for a very long time? ?C

3)

After the switch has been closed for a very long time, it is then opened. What is Q(t_open), the charge on the capacitor at a time t_open = 726 ?s after the switch was opened? ?C

4)

What is I_C,max(closed), the current that flows through the capacitor whose magnitude is maximum during the time when the switch is closed? A positive value for the current is defined to be in the direction of the arrow shown. A

5)

What is I_C,max(open), the current that flows through the capacitor whose magnitude is maximum during the time when the switch is open? A positive value for the current is defined to be in the direction of the arrow shown. A

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