Question

A charged spherical conductor of radius $a$ and charge $q$, is surrounded by another charged concentric sphere of radius $b(b>a)$. The potential difference between conductors is $V$. When, the spherical conductor of radius $b$ is discharged completely, then the potential difference between conductor will be

• A. $V$
• B. $ \frac{V_{a}}{b} $
• C. $\frac{q_{1}}{4 \pi \varepsilon_{0} a}-\frac{q_{2}}{4 \pi \varepsilon_{0} b}$
• D. None of the above

Answer 1

Answer: (A)

Since, potential difference between spheres depends upon electric field present in the space between spheres, the electric field in the space between spheres due to outer. sphere is zero. So, potential difference between spheres does not depend upon the charge on outer sphere.