A 4.55-µF capacitor that is initially uncharged is connected in series with a 7.

Question

A 4.55-µF capacitor that is initially uncharged is connected in series with a 7.25-k? resistor and an emf source with = 140 V and negligible internal resistance.

and an A 4.55-uF capacitor that is initially uncharged is connected in series with a 7.25-a resistor and an emf source with = 140 and negligible internal resistance. the cireut s completed, what s theitsistor (a) Just after the circuit is completed, what is the voltage drop across the capacitor? (b) Just after the circuit is completed, what is the voltage drop across the resistor? (c) Just after the circuit is completed, what is the charge on the capacitor? (d) Just after the circuit is completed, what is the current through the resistor? (e) A long time after the circuit is completed (after many time constants) what are the values of the quantities in parts ( q=

Explanation / Answer

a)Vc = Vs[1-e^(-t/RC)]

at t=0s

Vc = Vs[1-e^(-0)]= 0 V

b)

Vs= Vc + VR

At t=0s

VR = Vs= 140V

c)

Q= C*Vc = 0 C

d)

I = Vs/R = 140/7250 = 0.019 A

e)

Vc = Vs[1-e^(-t/RC)]

at t= infinity s

Vc = Vs[1-e^(- infinity)]= Vc = Vs = 140 V

Vs= Vc + VR

At t=0s, Vc= 140V

VR = Vs-Vc= 0V

Q=CVc= 4.55*10^-6*140= 0.637*10^-3 C

I= V

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