Question

Two insulated charged spheres of radii 7 cm and 13 cm and having the same charge are connected by a conductor and then they are separated. Which of the two spheres will carry greater charge?​

Answer 1

Given that,

Radius of first charged sphere = 7 cm

Radius of second charged sphere = 13 cm

The same charge are connected by a conductor.

We know that,

The potential are equal on both sphere.

We need to calculate the charge on the sphere

Using formula of potential

$V_{1} =V_{1}$

$\dfrac{Q_{1}}{kr_{1}}=\dfrac{Q_{2}}{kr_{2}}$

$\dfrac{Q_{1}}{Q_{2}}=\dfrac{r_{1}}{r_{2}}$

Put the value into the formula

$\dfrac{Q_{1}}{Q_{2}}=\dfrac{7}{13}$

The charge on 13 cm sphere will be greater than that on the 7 cm sphere.

Hence, The sphere of radius 13 cm will carry greater charge.