A circuit is constructed with four resistors, one capacitor, one battery and a s

Question

A circuit is constructed with four resistors, one capacitor, one battery and a switch as shown. The values for the resistors are: R1 = R2 = 58 %u03A9, R3 = 102 %u03A9 and R4 = 97 %u03A9. The capacitance is C = 58 mF 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?

Correct Answer: 0.0625 A

2) What is IC,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.

3) What is IC,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.

Please answer 2 and 3.

Explanation / Answer

2) Icmax(closed) = 0.0625 A . Maximum current flows just when the swith has been closed because at that time the impedance of the branch where in capacitor lies is minimum 3) Icmax(open) = 0 A . No current flows through the circuit because voltage source is disconnected

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