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Electric Field Due to a Sphere and Thin Shell

Relate the el...

Question

Relate the electric field due to the following in the given cases.

A

varies linearly

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B

zero

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C

varies nonlinearly

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Solution

Field inside a shell is zero due to the shell. Field ouside the sphere is $\frac{Q}{4 π ϵ r^{2}}$ , hence it varies non-linearly. Field inside a sphere is proportional to $r$ .

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