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A ball of radius R has a uniformly distr...

A ball of radius R has a uniformly distributed charge Q. The surrounding space of the ball is filled with a volume charge density `rho=(b)/(r)` , where b is a constant and r is the distance from the centre of the ball. It was found that the magnitude of electric field outside the ball is independent of distance r. (a) Find the value of Q. (b) Find the magnitude of electric field outside the ball.

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The correct Answer is:
(a). `Q=2pibR^(2)`
(b). `E=(b)/(2epsilon_(0))`
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