Question

A.) A point charge of +5.56 ?C is located at the center of a sphere with a radius of 12.8 cm. Determine the electric flux through the surface of the sphere.

B.) A -2.87 ?C charge is placed at the center of a conducting spherical shell, and a total charge of +8.00 ?C is placed on the shell itself. Calculate the total charge on the outer surface of the conductor.

C.) A 7.59 ?C point charge is placed at the center of a cube with a volume of 5.37 m³. Calculate the electric flux through one side of the cube.

Answer 1

Part A)

Electric Flux:

   (Ke=Coulombs constant)

(Eo= permittivity of classical vacuum)

Outer Area of sphere= (r is radius of sphere)

With this we find that the electric flux through a spere is:

Result:

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Part B)

Total charge on outer surface is equal to the sum of all the internal charges:

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Part C)

The total electric flux through the cube is:

The point charge is placed at the center of the cube, so by symmetry the electric flux through one side of the cube would be (cube has 6 sides):

Result: