Question

Two metal spheres of radii in the ratio 3:4 are connected and a charge of 14$\mu$ C is given to the system and then they are separated so that there is no mutual force between them. The potential due to the larger sphere at a distance of 3m from the centre of the sphere is

• A. 72KV
• B. 36KV
• C. 24KV
• D. 12KV

Answer 1

The correct option is C 24KV

$q_1+q_2=14\mu C...\left(1\right)V=\frac{q_1}{c_1}=\frac{q_2}{c_2};\frac{q_1}{q_2}=\frac{4\pi {ϵ}_0{r}_1}{4\pi {ϵ}_0{r}_2};\frac{q_1}{q_2}=\frac{r_1}{r_2}=\frac{3}{4}{q}_1=6\mu C;q_2=8\mu C{V}_2=\frac{1}{4\pi {ϵ}_0}\frac{q_2}{r}=9\times {10}^9\times \frac{8\times {10}^{-6}}{3}{V}_2=24\times {10}^{3}V$