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## Solve the following problems. ### 2 marks each 1. **Calculate the capacity of the earth as a conducting sphere of radius 6.5 x 10^3 km.** * Capacity of a spherical conductor is $C$ = 4π εR = * 1 x 6.5 x 106 / 9 x 109 * C = 722.2 x 10^-6 farad = 722.2µF 2. **A sphere has a...

## Solve the following problems. ### 2 marks each 1. **Calculate the capacity of the earth as a conducting sphere of radius 6.5 x 10^3 km.** * Capacity of a spherical conductor is $C$ = 4π εR = * 1 x 6.5 x 106 / 9 x 109 * C = 722.2 x 10^-6 farad = 722.2µF 2. **A sphere has a radius of 90 cm and it can be charged to a potential of 1000 volt. Find:** * (i) the capacity of the sphere and * (ii) the charge on it. * We know that the capacity of a sphere is C = 4πεR = * 1 x 90 x 10-2 / 9 x 109