Let a total charge \( 2 \mathrm{Q} \) be distributed in a sphere of radius \( R \), with the cha...

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Let a total charge \( 2 \mathrm{Q} \) be distributed in a sphere of radius \( R \), with the charge density given by \( \rho(r)=k r \), where \( r \) is the distance from the centre. Two charges \( A \) and B, of \( Q \) each, are placed on diametrically opposite points, at equal distance, \( a \), from the centre. If \( \mathrm{A} \) and \( \mathrm{B} \) do not experience any force, then : 
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