Home
Class 12
PHYSICS
Calculate the capacitance of a spherical...

Calculate the capacitance of a spherical capacitor consisting of two concentric spheres of radius 0.50m, 0.60m. The material filled in the space between the two spheres has a dielectric constant of 6.

Text Solution

Verified by Experts

Here, `C = ?, r_(a) = 0.50m`,
`r_(b) = 0.60m, K = 6`
`C = KC_(0) = K (4pi in_(0) r_(a) r_(b))/(r_(b) - r_(a))`
`= (6)/(9xx10^(9)) ((0.5) (0.6))/((0.6 - 0.5)) = 2xx10^(-9)F`.
Promotional Banner

Similar Questions

Explore conceptually related problems

(a) Find the capacitance of spherical capacitor having concentric shells of radii a a and b (bgta) . The space between the shells is completely filled by a dielectric of constant k . (b) Find the capacitance if dielectric is filled upto an intermediate radius c(a lt c lt b) between the shells.

The capacitance of a spherical condenser is 1 mu F . If the spacing between the two spheres is 1mm , then the radius of the outer sphere is

Show that the capacitance of a spherical capacitor is (4piepsi_(0)b^(2))/((b-a)) when the outer sphere is charged and the inner earthed.

A spherical capacitor has an inner sphere of radius 9 cm and an outer sphere of radius 10 cm. the outer sphere is earthed and the inner sphere is charged. What is the capacitance of the capacitor?

A parallel plate capacitor with air between the plates has a capacitance of 8 pF. Calculate the capacitace if the distance between the plates is reduced by half and the space between them is filled with a substance of dielectric constant (epsilon_(r)=6)

A parallel plate capacitor with air between the plates has a capacitance of 10 pF. The capacitance, if the distance bgetween the plates is reduced by half and the space between tehm is filled with a substance of dielectric constant 4 is