Question

Anyone answer my Question

By what Factor The capacitance of a metal sphere increases if its volume is made 27 times?

Explain

Answer 1

Answer: 9 times

Explanation:

The capacitance of a metal sphere is given by

C=E A/d so C is proportional to the area A

Also volume of a sphere is V = (4/3) πr^3

Since the volume is increased 27 times, that implies 3×3×3 =27 so it seems the radius was increased from r to 3r, and that implies surface area has increased to 9 times it initial value since A = 4πr^2

So capacitance increases by 9 times.

Thanks!

I hope this will help u.