Q.

An electric charge distribution produces an electric field  E=C(1eαr)r^r2 where  C=14πε0 &  α are constant. If the net charge within the radius  r=1α is  (1eN), then find the value of  'N'?

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answer is 1.

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Detailed Solution

As the electric field is radial, by applying gauss law, we can write
 E.ds=Qε0
For  r=1α,E=C(1eα×1/α)r^(1/α)2
E.ds=C(1e1)α2×4π(1/α)2

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Qε0=4πC(1e1)Q=(1e1)N=1

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