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In: Physics

A nonconducting spherical shell of inner radius a = 2.00 cm and outer radius b =...

A nonconducting spherical shell of inner radius a = 2.00 cm and outer radius b = 2.40 cm has (within its thickness) a positive volume charge density p = A/r, where A is a constant and r is the distance from the center of the shell. In addition, a small ball of charge q = 4.5 x 10 ^ -14 C is located at the center of that center. Find the total charge of the shell.

Solutions

Expert Solution

Consider a gaussian sphere of thickness inside the spherical shell at a distance from the center.

Volume of spherical shell with thickness is  

Charge in the volume is

Charge on the spherical shell is

------(1)

Charge enclosed in the gaussian sphere is ( q is at center)

Electric field at a distance from the center is due to the charge on spherical shell and charge at center.

Flux

Electric field must be uniform, so to keep electric field uniform  

Substituting the value of A and in the equation (1)

Total charge of the spherical shell is

genius_generous answered 2 years ago
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