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19 Nov 2019

A circuit is constructed with four resistors, one capacitor,one battery and a switch as shown. The values for the resistorsare: R1 = R2 = 48 O, R3 = 74 O and R4 = 158 O. The capacitance is C= 45 µF and the battery voltage is V = 12 V. The positive terminalof the battery is indicated with a + sign.
1) The switch has been open for a long timewhen at time t = 0, the switch is closed. What is I4(0), themagnitude of the current through the resistor R4 just after theswitch is closed?
What is Q(8), the charge on the capacitor after theswitch has been closed for a very long time?
After the switch has been closed for a very long time,it is then opened. What is Q(topen), the charge on the capacitor ata time topen = 705 µs after the switch was opened?
What is IC,max(closed), the current that flows throughthe capacitor whose magnitude is maximum during the time when theswitch is closed? A positive value for the current is defined to bein the direction of the arrow shown.
What is IC,max(open), the current that flows through thecapacitor whose magnitude is maximum during the time when theswitch is open? A positive value for the current is defined to bein the direction of the arrow shown.

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