The Larmor Formula suggests that the power radiated by an accelerating charge is non zero. But we know that a uniformly charged non-conducting ring rotating about its central axis does not radiate. Why is this so?
This is somehow very strange to me. For example, suppose I charge a very small portion of the non conducting ring with charge q. Now when I rotate this ring with a constant angular velocity, there should be radiation. Now, all I have to do is spray some charge uniformly on the rotating ring, and the radiation just ceases! Isn't this strange? We can negate radiation simply by spraying charge carefully?
Please explain why there is no radiation in this case.