Question

Define the damped and undamped oscillations

Answer 1

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Damped Oscillations:

Damped oscillations is clearly shown in the figure (a) given below. In such a case, during each oscillation, some energy is lost due to electrical losses (I2R). The amplitude of the oscillation will be reduced to zero as no compensating ar­rangement for the electrical losses is provided. The only parameters that will remain unchanged are the frequency or time period. They will change only according to the circuit parameters.

Undamped Oscillations:

In order to obtain undamped oscillations in any physical circuit, the positive value of the dissipation component, R must be neutralized with a negative resistance. The correct amount of undamped oscillations will be obtained only if the correct amount of energy is supplied to overcome the losses at the right time in each cycle. The resulting “undamped oscillations” are called sustained oscillations. Such sustained oscillations or continuous waves are required to be produced by the electronic oscillator circuits.

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Answer 2

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$\textbf{Damped Oscillation :}$

When a simple harmonic system oscillates with decreasing amplitude with time, it's oscillation are called Damped Oscillation.

$\textbf{Undamped Oscillation :}$

When a simple harmonic system oscillates with a constant amplitude which doesn't change with time. It's oscillation are called Undamped Oscillation.