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Hi,

I took a quiz today and one question was ,

"Which of these would produce radiation"

a) a moving particle

b) accelerating particle

c) DC current

d) a magnetic field (can't remember this)

The answer is B. But, I would argue that an accelerating particle must be moving hence the answer would be A and B. Was told no not true and the answer is B.

How is it possible for a particle to accelerate and not be moving in ℝ^3

position f during time t is

f(t) = location at time t

f'(t) = velocity

f''(t) = acceleration >> which produces radiation

if f'(t) = 0 or a, where a is a constant then then f''(t) = 0, so no radiation is produced if f'(t) = 0 or a.

But.... f''(t) =/= 0 => f'(t) = anti derivative f''(t)=> f'(t) =/= 0 hence it is moving

Can any one think of an example where particle in space has an acceleration not equal to 0, but does not have any movement?

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# Can an object that is producing radiation, have an acceleration but not move

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