Two concentric conducting spherical shells having radii a and b are charged to q1 & q2 respectively. The potential difference between 1 & 2 will be |
$\frac{q_1}{4 \pi \varepsilon_0 a}-\frac{q_2}{4 \pi \varepsilon_0 b}$ $\frac{q_2}{4 \pi \varepsilon_0}\left(\frac{1}{a}-\frac{1}{b}\right)$ $\frac{q_1}{4 \pi \varepsilon_0}\left(\frac{1}{a}-\frac{1}{b}\right)$ none of these |
$\frac{q_1}{4 \pi \varepsilon_0}\left(\frac{1}{a}-\frac{1}{b}\right)$ |
The potential on the surface of the sphere 1 is given by $V_1=\frac{1}{4 \pi \varepsilon_0} \frac{q_1}{a}+\frac{1}{4 \pi \varepsilon_0} \frac{q_2}{b}$ . . . (a) The potential on the surface of the sphere 2 is given by, $V_2=\frac{1}{4 \pi \varepsilon_0} \frac{q_1}{b}+\frac{1}{4 \pi \varepsilon_0} \frac{q_2}{b}$ $V = V_1-V_2$ $\Rightarrow V=\frac{1}{4 \pi \varepsilon_0} \frac{q_1}{a}-\frac{1}{4 \pi \varepsilon_0} \frac{q_1}{b}$ $\Rightarrow V=\frac{q_1}{4 \pi \varepsilon_0}\left(\frac{1}{a}-\frac{1}{b}\right)$ ∴ (C) |