The region between two concentric spheres of radii \( a \) and \( b(>a) \) contains volume ch...

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The region between two concentric spheres of radii \( a \) and \( b(>a) \) contains volume charge density \( \rho(r)=\frac{C}{r} \), where \( C \) is a constant and \( r \) is the radial distance as shown in figure. A point charge \( q \) is placed at the origin, \( r=0 \).
Find the value of \( C \) for which the electric field in the region between the spheres is constant (i.e. \( r \) independent).
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