a) Calculate the work required to bring a single proton in from infinity and add it to the sphere. Express your answer in electron volts. b) Calculate the total work required to charge the sphere to Q = 3.00 µC in the first place, starting with a neutral sphere, and bringing charges in one at a time from infinity. (Consider adding charge in infinitesimal increments dq, and the work dW for each increment.)

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A conducting sphere, of radius 0.400 m, has a net charge of 3.00 µC.
a) Calculate the work required to bring a single proton in from infinity and add it to the sphere. Express your answer in electron volts.
b) Calculate the total work required to charge the sphere to Q = 3.00 µC in the first place, starting with a neutral sphere, and bringing charges
in one at a time from infinity. (Consider adding charge in infinitesimal increments dq, and the work dW for each increment.)
Transcribed Image Text:A conducting sphere, of radius 0.400 m, has a net charge of 3.00 µC. a) Calculate the work required to bring a single proton in from infinity and add it to the sphere. Express your answer in electron volts. b) Calculate the total work required to charge the sphere to Q = 3.00 µC in the first place, starting with a neutral sphere, and bringing charges in one at a time from infinity. (Consider adding charge in infinitesimal increments dq, and the work dW for each increment.)
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