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Recent questions tagged telegram-56706

(chatquestion)...According to classical electromagnetic theory, an accelerating electron radiates energy at a rate Ke?a² /c³, where a is the acceleration, e is the electronic charge, c is the velocity of light and K is a constant with a value of 6 x 109N m2 C-2. Suppose that the motion of the electron can be represented by the expression x = A sin ot dur- ing one cycle of its motion. (a) Show that the energy radiated during one cycle is Ke?nw A? /c³. (b) Recalling that the total energy of a harmonic oscillator is maw² A? where m is the mass, show that the quality factor Q is mc /Kew. (c) Using a typ- ical value of w for a visible photon, estimate the 'lifetime' of the radiating system (e = 1.6 x 10-19 C, mass of electron 9.1 x 10-31 kg).

asked Feb 13, 2020 by balaji.thirumalai

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