Which of the following will reduce the time constant of an RC circuit? a. Increa

Question

Which of the following will reduce the time constant of an RC circuit?

a. Increasing the dielectric constant of the capacitor.

b. Adding an additional 20m of wiring between the capacitor and the resistor.

c. Increasing the voltage of the attached battery.

d. Adding an additional resistor in parallel with the original resistor.

e. None of the above.

A 2 F capacitor is connected in series with a 1.2 M resistor and a 5V battery for a long time. The battery is then disconnected and the connections of the circuit are connected together. What is the magnitude of the current in the resistor 1s after reconnecting the circuit?

Explanation / Answer

1) e. None of the above.

because, Time constant of R-C ckt, T = R*C

2)

Time constant of the ckt, T = R*C

= 1.2*10^6*2*10^-6

= 2.4 s

at time t,

I = Imax*e^(-t/T)

= (V/R)*e^(-t/T)

= (5/(1.2*10^6))e^(-1/2.4)

= 2.75*10^-6 A or 2.75 micro A

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