Question

Damped oscillation and undamped oscillation

Answer 1

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:

As shown in figure (b), undamped oscillations have constant amplitude oscillations. In the harmonic oscillation equation, the exponential factor e_Rt/2L must become unity. That is, the value of  the dissipation component in the circuit, R should be zero. If its value is negative, the  amplitude goes on increasing with time t. If its value is positive, the amplitude decreases with time t.

Answer 2

$\huge\mathfrak{A{\underline{\underline{\textbf{\red{nswer :}}}}}}$


$\textbf{Damped Oscillation :}$

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.