A capacitor with an initial potential difference of 185 V is discharged through

Q: A capacitor with an initial potential difference of 185 V is discharged through

here, V0 = 185 V a) let the time constant be T V = V0 * ( e^(-t/T)) 1.21 = 185 * ( e^(-10/T)) solving for T T = 2 s the time constant is 2 s b) at t = 19.6 s V = V0 * ( e^(-t/T)) V = 185 * ( e^(-19.6/2)) V = 0.01 V

ID: 1640813 • Letter: A

Question

A capacitor with an initial potential difference of 185 V is discharged through a resistor when a switch between them is closed at t = 0 s. At t= 10.0 s, the potential difference across the capacitor is 1.21 V. (a) What is the time constant of the circuit? (b) What is the potential difference across the capacitor at t = 19.6 s? A capacitor with an initial potential difference of 185 V is discharged through a resistor when a switch between them is closed at t = 0 s. At t= 10.0 s, the potential difference across the capacitor is 1.21 V. (a) What is the time constant of the circuit? (b) What is the potential difference across the capacitor at t = 19.6 s?

Explanation / Answer

here,

V0 = 185 V

let the time constant be T

V = V0 * ( e^(-t/T))

1.21 = 185 * ( e^(-10/T))

solving for T

T = 2 s

the time constant is 2 s

at t = 19.6 s

V = V0 * ( e^(-t/T))

V = 185 * ( e^(-19.6/2))

V = 0.01 V

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A capacitor with an initial potential difference of 185 V is discharged through

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