Question: The equation for a driven damped oscillator is (a) Explain the significance of each term. (b) Let E = E 0 e iÏt and x

The equation for a driven damped oscillator is

meë + meyx + m.wóx = qE(t)

(a) Explain the significance of each term.

(b) Let E = E0eiωt and x = x0ei(ωt-α), where E0 and x0 are real quantities. Substitute into the above expression and show that 

qEo т. [од — о?)? + у?«?12

(c) Derive an expression for the phase lag, α, and discuss how α varies as ω goes from ω << ω0 to ω = ω0 to ω >> ω0.

me + meyx + m.wx = qE(t) qEo . [ ?)? + ??12

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