Home
Class 12
PHYSICS
The capacitance (C ) for an isolated con...

The capacitance `(C )` for an isolated conducting sphere of radius `(a)` is given by `4pi epsilon_(0)a`. If the sphere is enclosed with an earthed concentric sphere. The ratio of the radii of the sphere being `(n)/((n-1))` then the capacitance of such a sphere will be increased by a factor

A

`n`

B

`(n)/((n-1))`

C

`((n-1))/(n)`

D

`a.n.`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
` a=` radius of inner sphere, `b =` radius of outer sphere
given that `(b)/(a) = (n)/(n-1)`
`C = 4pi in_(0) a & C' = 4pi in_(0) (ab)/(b-a)`
`C' = (4pi in_(0)a)/(1-(a)/(b))=(C )/(1-(n-1)/(n))rArrn' =nc`
Promotional Banner

Similar Questions

Explore conceptually related problems

The capacitance of an isolated conducting sphere of radius R is proportional to

The capacity of an isolated sphere is increased n times when it is enclosed by an earthed concentric sphere. The ratio of their radii is

The net charge given to an isolated conducting solid sphere :

Assuming ab expression for the potential of an isolated conductor, show that the capacitance of such a sphere will be increased by a factor n, if it is enclosed within an earthed concentric sphere, the ration of the spheres being n(n - 1) .

The capacitance of a metallic sphere will be 1muF , if its radius is nearly

A hollow insulated conducting sphere of radius 2m, is given a charge of 5 muC . What will be the electric field at the centre of the sphere?