A capacitor is charged with a total charge of q = 9.3E-05 C. The capacitor is wi

Question

A capacitor is charged with a total charge of q = 9.3E-05 C. The capacitor is wired in series with a resistor, R = 17 ohm. Randomized Variables q = 9.3E-05 C R = 17 ohm Part (a) Input an expression for the time constant tau, of this circuit using the variables provided and C for capacitance. Expression: Select from the variables below to write your expression. Note that all variables may not be required. alpha, beta, theta, C, d, g. h, i, j, k, l, m, P, R, t Part (b) What is the value of the time constant in s if the capacitor has capacitance of 1.0 mu F? Numeric: A numeric value is expected and not an expression. tau = ___ Part (c) How long will it take the capacitor to discharge half of its charge in seconds? Numeric: A numeric value is expected and not an expression. t = ___

Explanation / Answer

Here ,

a) for the time constant

T = R * C

b)

value of T = 9.3 *10^-5 * 17

value of T = 1.581 *10^-3 s

c)

let the time taken is t

as Q = Qo * (e^(-t/T))

0.50 = e^(-t/(1.581 *10^-3))

solving for t

t = 1.096 *10^-3 s

the time taken is 1.096 *10^-3 s

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