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Safari File Edit View History Bookmarks Window Help 23%D Mon 9:44 PM a O E 1fl.theexpe Common/TakeTutorialAssignment.aspx use a.com Class Management Help Homework 4 Begin Date: 2/14/2017 3:00:00 PM Due Date: 2/27/2017 11:59:00 PM End Date: 5/5/2017 12:00:00 AM (5%) Problem 16: Suppose you wanted to charge an initially uncharged 75 pF capacitor through a 55 MS2 resistor to 90.0% of its final voltage. Randomized Variables 75 R 55 MS2 Assignment Status Click here for G How much time (in s) would be required to do this? detailed view Grade Summary Deduction Potential 100% Problem Status sino cos tano 7 8 9 Submissions 1 Completed Attempts remaining: S cotano asin() acoso 4 5 6 2 Completed 4% per attempt) detailed view atan acotan0 Si sinh0 1 2 3 4 Partial cosh0 tanho cotanho Completed Degrees Radians 6 Completed Submit Hint Leedback I Igive up! 8 Completed Hints deduction per hint. Hints remaining 2. Feedback 0% deduction per feedback. 9 Completed 10 Completed 11 Completed Completed 12 13 Partial 14 15 16 All content c 2017 Expert TALLC

Explanation / Answer

C = capacitance = 75 pF = 75 x 10-12 F

R = resistance = 55 x 106 ohm

T = time constant = RC = (75 x 10-12 ) (55 x 106) = 0.004125 sec

Voltage across the capacitor at any time is given as

V = Vo (1 - e-t/T)

given that : V = 0.90 Vo

0.90 Vo = Vo (1 - e-t/T)

0.90 = (1 - e-t/0.004125)

t = 0.0095 sec

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