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For the figure to the above with R1 = 100?, R2 = 200?, ?V0 = 10V , and C = 1000µ

ID: 1434575 • Letter: F

Question

For the figure to the above with R1 = 100?, R2 = 200?, ?V0 = 10V , and C = 1000µF.

(a)Initially, S1 is open and the capacitor is uncharged. Immediately after S1 is closed, what is the current through R1?

(b)What is the current as a function of time, if S1 is closed at time t0 = 0? Define and give values for any constants you introduce.

(c)After S1 has been closed for a long time, what is the current through R1?

(d)After S1 has been closed for a long time, S1 is opened and S2 is closed. What is the current through R2 immediately after S2 is closed?

(e)What is the current as a function of time, if S2 is closed at time t0 = 0?

Explanation / Answer


A) current through R1 is i = V0/R1 = 10/100 = 0.1 A

b) i = (V0/R1)*(1-e^(-t/R1C))

c) i = 0 A

D) current through R2 is i = V0/R1 = 0.1

E) i = (V0/R1)*e^(-t/R2C)