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 = 33 ?, R3 = 72 ? and R4 = 117 ?. The capacitance is C = 65 ?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? ANS= .0695 A

2.) What is Q(?), the charge on the capacitor after the switch has been closed for a very long time? ANS=__?___ microC

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 = 524 ?s after the switch was opened? ANS=__?___ microC

4.)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. ANS=__?___ A

4.)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. ANS=__?___ A

Explanation / Answer

2.

Itotal = I = I = I = V (R+R+R)
I = 12V (33 + 72 + 117)
I = 0.054 A

The voltage drop across R will be the voltage across C:

V = I R = 0.054A * 72 = 3.88V

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