(a) Calculate the charge on the positive plate of the capacitorjust after the sw
ID: 1671632 • Letter: #
Question
(a) Calculate the charge on the positive plate of the capacitorjust after the switch is closed.
Q(0+) = C
(b) Calculate the following currents immediately after theswitch is closed.
I1(0+) = A
I2(0+) = A
(c) After the switch has been closed for a long time, calculatethe following quantities.
I1 = A
I2 = A
Q = C
(d) At some yet later time T, the switch is againopened. Calculate the following currents immediatelyafterward.
I1(T+) = A
I3(T+) = A
(e) What is the time constant of the dischargingcircuit?
t =
E = 5 VR1 = 41 W
R2 = 79 W
C = 10 µF
Explanation / Answer
a, Q(0+)=0 b,I1(0+)=E/R1=0.12A I2(0+)=0 c, I1=I2=E/(R1+R2)=0.042A Q=V*C=E*R2/(R1+R2)*C=5*79/(79+41)*10*10^-6=3.29*10^-5 C d, I1(T+)=0 I3(T+)=(Q(T)/C)/R2 e, t=R1*R2*C/(R1+R2)=2.7*10^-4 s
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