A system consis of a ball of radius R carrying a spherically symmetric charge and the surrounding space filled with a charge of volume density rho = alpha//r where, alpha isa constant, r is the distance from the centre of the ball. Find the ball.s charge, at which the magnitude of the electric field strenght vectros is independent of r outside the ball. How high is this strenght? The permittivities of the ball and the surrounding space are assumed to be equal to unity.

A system consis of a ball of radius R carrying a spherically symmetric

1.	A system consis of a ball of radius R carrying a spherically symmetric charge and the surrounding space filled with a charge of volume density rho = alpha//r where, alpha isa constant, r is the distance from the centre of the ball. Find the ball.s charge, at which the magnitude of the electric field strenght vectros is independent of r outside the ball. How high is this strenght? The permittivities of the ball and the surrounding space are assumed to be equal to unity.
Answer» `q=piR^(2)ALPHA,E=alpha//epsilon_(0)` `q=2piR^(2)alpha,E=(1)/(2)alpha//epsilon_(0)` `q=2piRalpha^(2),E=(1)/(3)alpha//epsilon_(0)` `q=3piRalpha^(2),E=(1)/(5)alpha//epsilon_(0)` Answer :B

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