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The region between two concentric spheres of
P radii \( a \) and \( b \) , respectively has volume charge density \( \rho=\frac{A}{r} \), where \( A \) is a constant and \( r \) is the distance from the centre. At the centre of the spheres is a point charge \( Q \). The value of \( A \) such that the electric field in the region between the spheres will be constant, is:
(A) \( \frac{Q}{2 \pi\left(b^{2}-a^{2}\right)} \)
(B) \( \frac{2 Q}{\pi\left(a^{2}-b^{2}\right)} \)
(C) \( \frac{2 Q}{\pi a^{2}} \)
(D) \( \frac{Q}{2 \pi a^{2}} \)
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