A circuit is constructed with four resistors, one capacitor, one battery and a switch as shown. The values for the resistors are: R1 = R2 = 22 Ω, R3 = 90 Ω and R4 = 129 Ω. The capacitance is C = 40 μF 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 R just after the switch is closed? 2) What is Q(∞), the charge on the capacitor after the switch has been closed for a very long time? 3) After the switch has been closed for a very long time, it is then opened. What is Q(topen), the charge on the capacitor at a time topen = 785 μs after the switch was opened? Requirements: 5 mins
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