(9%) Problem 11: A conducting sphere of radius r,-0.31 m has a total charge of Q

Question

(9%) Problem 11: A conducting sphere of radius r,-0.31 m has a total charge of Q = 3.4 C. A second uncharged conducting sphere of radius r2 0.22 m is then connected to the first by a thin conducting wire. The spheres are separated by a very large distance compared to their size Randomized Variables r1 = 0.31 m 20.22 m 0 3.4 H What is the total charge on sphere two, Q2 in coulombs? Grade Summary Deductions Potential 5% 95% sin tan() | | ( Submissions Attempts remaining: 4 (5% per attempt) detailed view 78 9 acos0 sinh0 cosh0tan0 coho cotanasin0 atan)acotan s 5% 0 END Degrees Radians CLEAR Submit Hint I give up! Hints: 1 % deduction per hint. Hints remaining: 2 Feedback: 1% deduction per feedback

Explanation / Answer

Let Q1 and Q2 be the charges on each sphere

By law of conservation of charge
Q1+Q2 = 3.4 .....1

During contact the charges distribute to attain same charge density

Q1/r1^2 = Q2/r2^2

Q1 = Q2 x 0.31^2/0.22^2 = 1.99Q2 ....2

put 2 in 1

1.99Q2 + Q2 = 3.4

Q2 = 1.137 micro coulumb

Q2 = 1.137 x 10^-6 C

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