A capacitor that is initially uncharged is connected in series with a resistor a

Question

A capacitor that is initially uncharged is connected in series with a resistor and an emf source with E PartA What is the resistance of the resistor? Express your answer using two significant figures 110 V and negligible internal resistance. Just after the circuit is completed, the current through the resistor is 6.3 10-5 A. The time constant for the circuit is 4.6s Submit Request Answer Part B What is the capacitance of the capacitor? Express your answer using two significant figures. Submit Reauest Answer

Explanation / Answer

Given

RC circuit

with e = 110 v , current i = 6.3*10^-5 A

time constant t = 4.6 s

we know that the time constant of RC circuit is t = R*C

as the capacitor and resistor are in series the current will be same across the capacitor and resitor

so the current is i = e/R ==> R = e/i

Part A

Resistor R = e/i = 110 /(6.3*10^-5) ohm

R = 1746031.746 ohm

Part B

the time constant is t = R*C

C = t/R

C = 4.6/1746031.746 F

C = 2.63455*10^-6 F

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