omework Assignment #15 Begin Date: 2/26/2018 4:00:00 PM-Due Date: 3/5/2018 11:59

Question

omework Assignment #15 Begin Date: 2/26/2018 4:00:00 PM-Due Date: 3/5/2018 11:59:00 PM End Date: 12/1/2018 11:59:00 PM (50%) Problem 1: A spherical capacitor consists of a spherical shell of radius r1 = 29 cm and uniform net positive electric charge density with net electric charge +Q, surrounded by a spherical shell of radius r2- 58 cm with uniform ncgative electric charge density and net electric charge -Q; the magnitude of Q is 56 nC -Q What is the electric potential energy (in ) of this capacitor? Grade Summary Deductions Potential 0% 1 00 % cosO cotan0 asin acosO Submissions Attempts remaining: 20 sin tan() | | % per attempt) detailed view atan) acotan)sinh0 cosh0tanh () cotanhO END Degrees Radians BACKSPACE DEL CLEAR Submit I give up! Hints: 0 for a 0% deduction. Hints remaining: 0 Feedback: 0% deduction per feedback.

Explanation / Answer

For spherical capacitor,

C = (4 pi e0)(ab)/(b - a)

C = (4 pi x 8.854 x 10^-12)(0.29 x 0.58)(0.58 - 0.29)

C = 6.453 x 10^-11 F  

U = Q^2 / 2 C

U = (56 x 10^-9)^2 / (2 x 6.453 x10^-11)

U = 24.3 x 10^-6 J OR 24.3 uJ  

Ans: 24.3

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