A series RC circuit with C=40?F and R=6.0? has a 24-V source in it. With the cap

Question

A series RC circuit with C=40?F and R=6.0? has a 24-V source in it. With the capacitor initially uncharged, an open switch in the circuit is closed. a) What is the voltage across the resistor immediately afterward? b) What is the voltage across the capacitor at that time? c) What is the current in the resistor at that time? d) After the switch has been closed for T=4t, what is the charge on the capacitor? e) After a long time has passed, what are the voltages across the capacitor and the resistor?

Explanation / Answer

a) Vresistor= 24

b) V capacitor = 0

c) v = I R

I = V/R = 24/6 = 4 A

d) Q = Q0 ( 1 - e^(-t/tau)) = 40.0E-6*24*(1-e^(-4))= 9.42E-4 C

e) after a long time Vcapacitor = 24 V

Vresistor = 0

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