Question

A 22.5 μF spherical capacitor is composed of two metallic spheres, one having a radius twice as large as the other. If the region between the spheres is a vacuum, determine the volume of this region. ______ m^3

Answer 1

Volume of the sphere
`=0.0347* 10^(18)m^3`

Step-by-step explanation:

We have given that capacitance of spherical capacitor
`C=22.5\mu F=22.5* 10^(-6)F`

We have to find the volume of sphere

We know that capacitance of spherical capacitance is given by
`C=4\pi \epsilon _0r`

So
`22.5* 10^(-6)-4* 3.14* 8.85* 10^(-12)r`

`r=0.2024* 10^(6)m`

Now volume of sphere
`V = (4)/(3)\pi r^3=(4)/(3)* 3.14* (0.2024* 10^6)^3=0.0347* 10^(18)m^3`