ent I Help W8 Spring2018 Begin Date: 4/6/2017 12:00:00 AM- Due Date: 4/11/2018 2

Question

ent I Help W8 Spring2018 Begin Date: 4/6/2017 12:00:00 AM- Due Date: 4/11/2018 2:00:00 PM End Date: 4/12/2018 2:00:00 PM (13%) Problem 7: A capacitor is charged with a total charge of q 1.5E-05 C. The capacitor is wired in series with a resistor, R Randomized Variables q 1.5E-05 C 33% Part (a) Input an expression for the time constant r, of this circuit using the variables provided and C for capacitance Poter (2% I give up! Feedback: -deduction per feedback. Hints: 0% deduction per hint. Hints remaining: 2 F? -à 33% Part (b) What is the value ofthe time constant in s if the capacitor has capacitance of 1.0 33% Part (c) How long will it take the capacitor to discharge half of its charge in seconds? All content © 2018 Expert TA,LLC 852

Explanation / Answer

Here ,

a) the time constant is given as

T = R * C

b) T = 1 * 10^-6 * 7

T = 7 *10^-6 s

the time constant is 7 *10^-6 s

c)

let the time taken is t

Q = Qo * (1 - e^(-t/T))

for Q = 0.50 * Qo

e^(-t/T) = 0.50

solving for t

t = 0.693 * 7 *10^-6

t = 4.85 *10^-6 s

the time taken is 4.85 *10^-6 s

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