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Three identical conducting spheres are mounted on insulating handles.  Sphere 1 has a charge of +5Q,  sphere 2 has a charge of −3Q, and sphere 3 has a charge of +Q.There are 24 excess electrons on the surface of sphere 2.  What is the electric charge on sphere 1? (The magnitude of electron charge is 1.6 × 10-19 C.)A.0.96 × 10‒18 CB.1.28 × 10‒18 CC.4.80 × 10‒18 CD.6.40 × 10‒18 C

Question

Three identical conducting spheres are mounted on insulating handles.  Sphere 1 has a charge of +5Q,  sphere 2 has a charge of −3Q, and sphere 3 has a charge of +Q.There are 24 excess electrons on the surface of sphere 2.  What is the electric charge on sphere 1? (The magnitude of electron charge is 1.6 × 10-19 C.)A.0.96 × 10‒18 CB.1.28 × 10‒18 CC.4.80 × 10‒18 CD.6.40 × 10‒18 C

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Solution

First, we need to find the charge of one electron. The charge of one electron is -1.6 x 10^-19 C.

Next, we know that there are 24 excess electrons on sphere 2. So, the total charge on sphere 2 is 24 x (-1.6 x 10^-19 C) = -3.84 x 10^-18 C.

However, we know that the charge on sphere 2 is -3Q. Therefore, we can set up the equation -3Q = -3.84 x 10^-18 C.

Solving for Q, we get Q = 1.28 x 10^-18 C.

Finally, we know that the charge on sphere 1 is +5Q. So, the charge on sphere 1 is 5 x 1.28 x 10^-18 C = 6.40 x 10^-18 C.

So, the answer is D. 6.40 x 10^-18 C.

This problem has been solved

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