Consider a series RC circuit for which R1 = R2 = 1.0 Mohm, R3 = 2.0...

Question

Question

Consider a series RC circuit for which R1 = R2 = 1

Answer 1

Answer #1

Equivalent resistance

1/R_eq = 1/R₁ + 1/R₂ +1/R₃

1/R_eq = 1/1 +1/1 +1/2

R_eq =0.4 Mohms

equivalent capacitance

1/C_eq =1/C₁ +1/C₂ =1/5 + 1/4

C_eq =2.22 uF

TIme Constant

T =R_eq C_eq =0.4*2.22

T=0.8889 s

Maximum Charge

Q_max=C_eqV =(2.22*10^-6)*30 =6.666666667*10^-5 C

In a RC circuit charge as a function of time is given by

Q=Q_max[1-e^-t/T] =(6.66666667*10^-5)[1-e^-10/0.8889]

Q=6.66658*10^-5 C

Answer 2

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