ysics lI Practice Exam II Name: 14. Consider the RCcircuit below. A capacitor wi

Question

ysics lI Practice Exam II Name: 14. Consider the RCcircuit below. A capacitor with a capacitance of 3.5 uF is initially uncharged. It is connected in series with aresistor with a resistance of 8.5 kQ, and a battery, which provides a potential differenoe of 15.0 V (15 pts.) a) When is the current at its maximum value? Calculate the max current. b) Calculate the time constant for the circuit in seconds. c) After a very long time after the switch has been dlosed, what is the voltage across the capacitor? What is the current? d) After a very long time after the switch has been dlosed, what is the charge accumulated on the plates of the capacitor?

Explanation / Answer

14. (A) current will be max when Vc = 0

I R = VB => I = (15 V) / (8.5 x 10^3)

I = 1.76 x 10^-3 A Or 1.76 mA

(B) time constant, T = R C

T = (8.5 x 10^3) (3.5 x 10^-6)

T = 0.02975 s or 29.75 ms

(C) after long time, capacitor will be fully charged.

so Vc = 15 Volt ....Ans

Vb - Vc - Vr = 0

15 - 15 - I R =0

I = 0 ....Ans

(D) Q = CV = (3.5 uF ) (15 V ) = 52.5 uC

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