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(a) A 5.0 F capacitor is charge to a potential difference of 20 kV between plate

ID: 1414416 • Letter: #

Question

(a)

A 5.0 F capacitor is charge to a potential difference of 20 kV between plates. After being disconnected from the power source, it is connected across a 7.0 M resistor to discharge.

(i)

What is the initial discharge current?

(ii)

Calculate the time constant of the circuit.

(a)

A 5.0 F capacitor is charge to a potential difference of 20 kV between plates. After being disconnected from the power source, it is connected across a 7.0 M resistor to discharge.

(i)

What is the initial discharge current?

(ii)

Calculate the time constant of the circuit.

Explanation / Answer

here,

capacitance , C = 5 * 10^-6 F

potential difference , V = 20 KV = 20 000 V

resistance , R = 7 Mohm

R = 7 * 10^6 ohm

a)

the initial discharge current , I = V/R

I = 20000 /( 7 * 10^-6)

I = 2.86 * 10^-3 A

b)

the time constant of the circuit , t = R * C

t = 7 * 10^6 * 5 * 10^-6

t = 35 s

the time constant of the circuit is 35 s