Unit 11: Prelecture / Checkpoint /Homework Homework: RC Circuits Deadline: 100%
ID: 777660 • Letter: U
Question
Unit 11: Prelecture / Checkpoint /Homework Homework: RC Circuits Deadline: 100% until Thursday, March 15 at 11:59 PM Two Loop RC Circuit 1 A circuit is constructed with four resistors, one capacitor, one battery and a switch as shown. The values for the resistors are: R1-R2-690, R3 98 0 and R4-118 Q. The capacitance is C-76 uF and the battery voltage is V-24 V R. R, 1) The switch has been open for a long time when at time t -0, the switch is closed. What is I,(0), the magnitude of the current through the resistor Ri just after the switch is closed? 0.128 A subimit 2) What is ht-), the magnitude of the current that flows through the resistor Ry a very long time after the switch has been closed? 0.0678 A Subt 3) What is Q-), the charge on the capacitor after the switch has been closed for a very long time? O0 F FS F7 F8Explanation / Answer
a)
Immediately after switch is closed ,capacitor will acts as short circuit .
I1(0) =24/(69+118) =0.1283 A
b)
After long time switch is closed capacitor will act as open circuit
I1(infinity)=24/(69+69+98+118)=0.0678 A
c)
Voltage across capacitor
VC=0.0678*(69+98)=11.32 Volts
Charge on capacitor
Q=CV =11.32*76=860.47 uC
d)
equivalent resistance
Req = 69+118+(1/108 +1/(69+98))-1=252.6 ohms
I1(0)=24/252.6=0.095 A
e)
Q(infinity)=860.47 uC
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