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The electric field in a region is radially outwards with magnitude E=αr/∈0. In a sphere of radius R centered at the origin, calculate the value of charge in coulombs ifα=5π V/m2 and R=3101/3m

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answer is 6.

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Detailed Solution

q=ϵ0∮ E⋅ds=ϵ0αrϵ04πr2=4πr3α=6

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