Question

There are two hollow spherical conductors A and B are given below. Points M and N can be connected by conductor wire.
Initially (before the connection of points M and N) conductor B is neutral, while charge appeared on conductor A is q. After connecting the spheres, the potential of sphere B is

• A. $ \frac{q}{4\pi {{\varepsilon }_{0}}(r+R)} $
• B. $ \frac{q}{4\pi {{\varepsilon }_{0}}R} $
• C. $ \frac{q}{4\pi {{\varepsilon }_{0}}(r+R)} $
• D. Zero

Answer 1

Answer: (B)

After connection, the total charge on inner conductor transfers to outer one and in this situation potential of sphere B is given as $ {{V}_{B}}=\frac{q}{4\pi {{\varepsilon }_{0}}R} $ Because both the spheres will attain an equal potential.