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A system consits of a ball of radus R ...

A system consits of a ball of radus `R` carrying spherically symmetric charge and the surrounding space filled with a charge of volume density `rho = alpha//r` , wehre `alpha` is a constant, `r` is the distance from the centre of the ball. Find the ball's the charge at whcih the magnitude of the electric field strength vector is independent of `r` outside the ball. How high is this strength ? The permittives of the ball and the surrounding space are assumed to be equal to unity.

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