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The Expert TAI Human x Katy Secure https://u ommon/TakeTutorialAssignment.aspx Class l Help Homework 4 Begin Date: 9/12/2017 12:00:00 AMDue Date: 9/25 2017 11:59:00 PM End Date: 9 25 2017 11:59:00 PM (7%) Problem 12: An RC circuit takes 1 = 2.75 s to charge to 55% when a voltage of 5.5 V is applied. Randomized Variables 2.75 s P 55% Assignment Status Click here for detailed view 33% Part (a) what is this circuit's time constant . in seconds? Grade Summary Potential Submissions 0% 100% Problem Status tan() | | ( acos) cos0 1 Completed Completed Completed Completed Completed Completed Completed Completed Completed 10 Completed sino Attempts remaining: 2 (0% per attempt) detailed view cotan asin 4 5 6 atano acotan sinho coshtan cotanh0 0 Degrees Radians Submit I give up Hints: 2 % deduction per hint. Hints remaining:- Feedback: 2% deduction per feedback. 33% Part (b) If the circuit has a resistance of R = 1.5 , what is its capacitance, in farads? 33% Part (c) How much charge, in coulombs, is on the plates of the capacitor when it is fully charged? 12 AII content © 2017Ergert ta, LLC Type here to search 10:48 AMM 9/25/2017

Explanation / Answer

a] We know Q = Qo* (1 - e^(-t/T))

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

0.55 = 1- e^(-2.75/T)

0.45 =  e^(-2.75/T)

ln 0.45 = -2.75/T

T = -2.75/ ln 0.45

= 3.444 s answer

b] time constant T = RC

C = T/R = 3.444/1.5

= 2.296 F answer

c] Charge Q = CV = 2.296*5.5

= 12.63 C answer

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