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Statement of a problem № 41803

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




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