Question

A charge \(Q\) is distributed over two concentric hollow spheres of radii \(a\) and \(b\) \((a>b)\), so that the surface charge densities are equal. The potential at the common centre is \(\frac{1}{4\pi \varepsilon_0}\) times

• A. \(Q \left(\frac{a+b}{a^2 + b^2}\right)\)
• B. \(2Q \left(\frac{a+b}{a^2 + b^2}\right)\)
• C. \(Q\)
• D. \(\frac{Q}{2} \left(\frac{a+b}{a^2 + b^2}\right)\)
• E. \(\frac{Q}{4} \left(\frac{a+b}{a^2 + b^2}\right)\)

Hint:

Potential inside a spherical shell is same as on surface.

Answer 1

The Correct Option is A