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The region between two concentric spheres of radii 'a' and 'b',

Question:

The region between two concentric spheres of radii 'a' and 'b', respectively (see figure), has volume charge density $\rho=\frac{\mathrm{A}}{\mathrm{r}}$, where $\mathrm{A}$ is a constant and $\mathrm{r}$ 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 :-

  1. $\frac{2 Q}{\pi a^{2}}$

  2. $\frac{\mathrm{Q}}{2 \pi \mathrm{a}^{2}}$

  3. $\frac{Q}{2 \pi\left(b^{2}-a^{2}\right)}$

  4. $\frac{2 Q}{\pi\left(a^{2}-b^{2}\right)}$


Correct Option: , 2

Solution:

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