Relaxation time is defined as the time during which the amplitude of damped oscillation
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Explanation:
The relaxation time \(\tau\) is the time for the `amplitude' to decay to \(e^{-1}\) of its original value. As we've defined it the relaxation time is not very precise. For example, in the diagram the oscillator attains the amplitude \(A e^{-1}\) much earlier!
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