# A charged particle in constant gravitational field

1. Nov 24, 2011

### clerk

In classical electrodynamics a paradox arises when we compare the power radiated by a charge falling under gravity using larmor formula (proportional to square of the acceleration, hence g^2) but the radiation reaction , given by abraham lorentz formula gives zero.(since it depends on the time derivative of the acceleration) ie. the external power required to counteract the radiation reaction is zero. I havent come across any good explanation. Can someone please help me out? Thanks.

2. Nov 26, 2011

### clem

The abraham lorentz formula does not apply to constant acceleration.

3. Dec 2, 2011

### clerk

i see ..thanks.