The diagram below depicts an RC -circuit where C 1 = 1.00 ?F, C 2 = 8.75 ?F, R 1
ID: 1283914 • Letter: T
Question
The diagram below depicts an RC-circuit where C1 = 1.00 ?F, C2 = 8.75 ?F, R1 = 26.0 ?, R2 = 10.5 ?, and ?1 = 3.50 Volts.
What is the final amount of charge stored in C2?
What is the amount of charge stored in C1 after the switch S has been closed for t = 1.00E-5 seconds?
What is the initial current through the circuit immediately after the switch S is closed?
What is the current through the circuit after the switch S has been closed for t = 1.00E-5 seconds?
The diagram below depicts an RC-circuit where C1 = 1.00 ?F, C2 = 8.75 ?F, R1 = 26.0 ?, R2 = 10.5 ?, and ?1 = 3.50 Volts. What is the final amount of charge stored in C2? What is the amount of charge stored in C1 after the switch S has been closed for t = 1.00E-5 seconds? What is the initial current through the circuit immediately after the switch S is closed? What is the current through the circuit after the switch S has been closed for t = 1.00E-5 seconds?Explanation / Answer
equivalent capacitance
1/Ceq=1/C1+1/C2=1/1+1/8.75
Ceq=0.9 uF
equivalent resistance
1/Req=1/R1+1/R2=1/26 +1/10.5
Req=7.48 ohms
Time Constant
T=ReqCeq=0.9*7.48=6.7us
a)
Total Charge
Q=CeqE1=0.9*3.5 =3.15 uC
Charge stored on C2 is
Q2=Q=3.15 uC
b)
Charge stored on Capacitors C1 is
Q=Qo[1-e-t/T]=3.15[1-e-10/6.7]
Q=2.44 uC
c)
Initial current through the circuit is
Io=E1/Req=3.15/7.48=0.42 A
d)
I=Io[e-t/T]=0.42[e-10/6.7]
I=0.0944 A