During a thunder storm the movement of water molecules within the clouds creates friction partially causing the bottom part of the clouds to become negatively charged. This implies that the bottom of the cloud and the ground act as a parallel plate cpacitor . If the electric field between the cloud and ground exeeds the dielectric breakdown of the air `(3xx10^(6)Vm^(-1))` lightning will occur.
(a) If the bottom part of the cloud is 1000 m above the ground determine the electric potential difference that exists between the cloud and ground.
(b) In a typical lightning phenomenon around 25 C of electrons are transferred from cloud to ground . How much electrostatic potential energy is transferred to the ground?

Explanation

(a) Electric field between the cloud and ground,
V = Ed
`V = 3xx10^(6)xx1000 = 3xx10^(9)V `
(a) Electrons transferred from cloud to ground ,
q = 25 C
Electron static potential energy ,
`U = (1)/(2) CV^(2)" " [ C = (q)/(V) ] `
`= (1)/(2) qV = (1)/(2) xx25 xx3 xx10^(9)`
`U = 37.5 xx10^(9)` J