In the circuit below, R1 = R, R2 = 2R, and R3 = 3R. Each capacitor has a capacit

Question

In the circuit below, R1 = R, R2 = 2R, and R3 = 3R. Each capacitor has a capacitance C.

Assume that the circuit is in the steady state. Put all answers in terms of R and C.

a. Do the capacitors behave like a conducting path or broken wire?

b. Using your answer from part a, determine the current through the battery?

c. What is the potential difference across C1?

d. Determine the charge q1 on C1.

In the circuit below, R1 = R, R2 = 2R, and R3 = 3R. each capacitor has a capacitance C. Assume that the circuit is in the steady state. Put all answers in terms of R and C. Do the capacitors behave like a conducting path or broken wire? Using your answer from part a, determine the current through the battery? What is the potential difference across C1? Determine the charge q1 on C1.

Explanation / Answer

a) after a long time they acts as broken wires

b) I = emf/Rnet =

I = e/(R1+R2+R3) = e/(6*R)

c) V1 = e*R1/(R1+R2+R3) = e/6

d) Q1 = C1*V1 = c*e/6

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