Part A Part B Part C Part D How much charge is on the inside surface of the holl

Question

Part A
Part B
Part C
Part D How much charge is on the inside surface of the hollow sphere?
Part E How much charge is on the exterior surface? Part D How much charge is on the inside surface of the hollow sphere?
Part E How much charge is on the exterior surface? Part E How much charge is on the exterior surface? Determine the magnitude of the electric field in the region Determine the magnitude of the electric field in the region Determine the magnitude of the electric field in the region r? How much charge is on the inside surface of the hollow sphere? How much charge is on the exterior surface?

Explanation / Answer

the main focus is on testing your understandingof Gauss' law. for r </= a, E = Q/A?0 =Q/4??0r2 as it is a metal(conducting) sphere, by rearrangement ofcharges, net field is zero inside, iefor b>r>a for r>/= b, E =(+2Q + Q)/A?0 = 3Q/4??0r2 in order to make the enclosed charge and thusfield for a gaussian surface just inside the sphere, thecharge on inner surface is equal and opposite to charge inside thehollow, ie. -Q. inside the sphere, the charge is zero, in order to keepthe electric field zero. on the exterior surface the remaining charge resides,ie. +3Q. in order to make the enclosed charge and thusfield for a gaussian surface just inside the sphere, thecharge on inner surface is equal and opposite to charge inside thehollow, ie. -Q. inside the sphere, the charge is zero, in order to keepthe electric field zero. on the exterior surface the remaining charge resides,ie. +3Q.

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