An RC circuit consists of a 6.00-V battery with negligible internal resistance (

Question

An RC circuit consists of a 6.00-V battery with negligible internal resistance (r=0 ohm), a 4.00 muF capacitor, C and a 30.0 - ohm resistor R as show. Obtain the initial current Io, the final charge Qf on the C and the time T required for the charge Q(t) = 0.80f.

Io=?

Qf=?

An RC circuit consists of a 6.00-V battery with negligible internal resistance (r=0 ohm), a 4.00 muF capacitor, C and a 30.0 - ohm resistor R as show. Obtain the initial current Io, the final charge Qf on the C and the time T required for the charge Q(t) = 0.80f. Io=? Qf=? T=?

Explanation / Answer

a) when you first turn it on

I0 = V/R = 6/30 = 1/5 = 0.2 A

b) final charge is when V capacitor = 6 V

Q = C V = 4.0 muF*6 = 24 uC

c) Q = Qf (1 - e^(-t/tau))

0.8 = 1 - e^(-t/tau)

e^(-t/tau) = 0.2

t/tau = -ln(0.2)

tau = RC

t = -4.0E-6*30*ln(0.2)= 1.93E-4 s

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