Transient and frequency response of R-L-C series Circuit
Prerequisites
Experiment Steps
- Connect the circuit as per the experiment manual.
- You know the value of L and C in the circuit. So find out the value of R for which the value of $\xi = 0.1$. Set the resistance accordingly.
- Supply a square wave input voltage of Vp = 1.5 v.
- Find the rise time, settling time, and the percentage overshoot from the CRO waveforms.
- Repeat the experiment for $\xi = 0.2, 0.3, 0.5, 0.7, 0.8$.
- Trace the output at two/three $\xi$ values.
- Plot the $\xi$~ percentage overshoot.
NEXT: (Frequency response)
- Find the natural frequency of oscillation of the circuit ($f_0$).
- Sweep the frequencies from $\frac{f_0}{10}$ to $10 f_0$. Record the output voltage($V_o$).
- Also, record the phase difference of $V_o$ with respect to $V_i$ (in radian).
- Calculate the following for each frequency:
Gain = $\frac{V_o}{V_i}$
Gain in DB = $20 log \frac{V_o}{V_i}$
- Plot the frequency ~ Gain in DB and frequency ~ phase difference in semilog graph paper.
