Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

(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 V
R1 = 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