# Transient response of LCR circuits

Objective

Explore the oscillatory nature of L and C in series. Resonant frequency of series LC circuit is given by . The damping factor is , and it is equal to 1 for critical damping (http://en.wikiversity.org/wiki/RLC_circuit). Depending upon the value of C/L and R, the response could be under-damped, critically-damped or over-damped.

Procedure

- Start with the coil and capacitor

- Click on 5->0V STEP. Adjust x-axis and repeat if required.

- FIT the graph to find the resonant frequency & Damping.

- Repeat with a resistor between OD1 and the inductor.

- Repeat the experiment with different values of L, C and R

Discussion

We have used the 3000 turn coil and a capacitor. The voltage across the capacitor after a 5 to 0V step is shown in figure. The measured resonant frequency tallies with , within the component tolerance values.