A circuit is constructed with four resistors, one capacitor, one battery and a s
ID: 1623070 • Letter: A
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 = 34 , R3 = 75 and R4 = 119 . The capacitance is C = 66 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
Your submissions:
0.068
Computed value:
0.068
Submitted:
Thursday, May 11 at 4:00 PM
Feedback:
Your answer has been judged correct; the exact answer is: 0.0680293337494149.
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(topen), the charge on the capacitor at a time topen = 540 s after the switch was opened?
C
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.
A
5)
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.
A
Explanation / Answer
No current flow through R2:
i = V/Req = V/(R1 + R4 + R3) = 12/(34+119 +75) = 0.05263 A
V3 = i R3 = 0.05263*75 = 3.95 V
Q = C V3 = 66*3.95 = 260.53 uC
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