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Electrical Lab Experiments

Transient analysis of series RL, RC circuits



Aim

To obtain the Transient respond and measure the time constant of a series RL and RC Circiut for a pulse waveform.

Apparatus Required:

S.No. Apparatus Range Quantity
1 Function Generator 800Hz 1
2 Inductor 1mH 1
3 Resistor 4K Ohm 1
4 Capacitor 1nF 1
5 Bread Board & Wires -- Required
6 CRO -- 1
6 CRO Probes -- 2

Theory

In this experiment, we apply a pulse waveform to the RL or RC circuit to analyze the transient response of the circuit. The pulse-width relative to a circuit's time constant determines how it is affected by an RC or RL
Time Constant (τ): A measure of time required for certain changes in voltages and currents in RC and RL circuits. Generally, when the elapsed time exceeds five time constants (5τ) after switching has occurred, the currents and voltages have reached their final value, which is also called steady-state response.

KVL: In any closed path / mesh, the algebraic sum of all the voltages is zero.

τ=RC

A Pulse is a voltage or current that changes from one level to the other and back again. If a waveform's high time equals its low time, as in figure, it is called a square wave. The length of each cycle of a pulse train is termed its period (T). The pulse width (tp) of an ideal square wave is equal to half the time period.

Procedure for RL:

  1. Make the connections as per the circuit diagram.
  2. Choose square wave mode in signal generator
  3. Using CRO, adjust the amplitude to be 2 volts peak to peak.
  4. Take care of the precaution and set the input frequency.
  5. Observe and plot the output waveform.
  6. Calculate the time required by the output to reach 0.632 times the final value (peak).
  7. This value gives the practical time constant. Tabulate the theoretical and practical values.

Circuit Diagram:

Circuit Diagram:

Model Graph:

a RL Transient :Output voltage across Resistor:
b RC Transient :Output voltage across Capacitor:

Hardware setup:

Hardware setup:

Graph:

Graph:

Graph:

Graph:

Result:

Post Lab Questions

  1. Why it is necessary to discharge the capacitor every time you want to record another transient voltage across the capacitor?
  2. If the capacitor remains charged, what would you expect to see across the capacitor when you re-close the switch to try to record another transient?
  3. Give the expression for energy stored in the capacitor?
  4. Draw the discharge of capacitor voltage with time in RC circuit?
  5. What do you understand from the value of time constants (RL, RC)?










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