A proton is kept in a uniform electric field.What is the energy gained by it?

Asked by Rajeev | 22nd May, 2015, 08:54: AM

Expert Answer:

A proton is kept in uniform electric field, it moves in the direction of the electric field from the higher potential to a lower potential. As it moves to a lower potential potential, the potential energy decreases hence, the kinetic energy increases.
As a proton kept in unifrom electric field, it gets accelerate in the direction of electric field. 
Therefore, Force developed, F = qE = ma
where, E=electric field
         q=charge on proton
         m=mass of proton
         a=acceleration of proton
begin mathsize 12px style straight a equals qE over straight m straight a equals dv over dt equals qE over straight m integrating space above space eqution straight v space equals space qEt over straight m The space the space gain space in space kinetic space energy straight K. straight E. equals 1 half mv squared equals 1 half straight m open parentheses qEt over straight m close parentheses squared straight K. straight E. equals fraction numerator 1 over denominator 2 straight m end fraction open parentheses qEt close parentheses squared end style

Answered by Priyanka Kumbhar | 22nd May, 2015, 05:23: PM