Phase difference in CR and LR circuit

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SUMMARY

The discussion focuses on the phase difference in CR (capacitor-resistor) and LR (inductor-resistor) circuits, specifically through experiments using a CRO (cathode ray oscilloscope). The user connects channel 1 of the CRO across both the capacitor and resistor to observe the voltage across the capacitor, while channel 2 measures the current through the resistor. Key observations include that increasing resistance decreases phase difference, and the phase difference between voltage and current in an inductor is not always 90°, which is attributed to the circuit's characteristics. The discussion emphasizes the importance of understanding the voltage-to-current relationships in these circuits.

PREREQUISITES
  • Understanding of AC circuit theory
  • Familiarity with CRO (cathode ray oscilloscope) operation
  • Knowledge of phase difference concepts in electrical engineering
  • Basic differential equations related to capacitors and inductors
NEXT STEPS
  • Study the voltage-to-current relationship for capacitors using differential equations
  • Learn about the effects of resistance on phase difference in AC circuits
  • Explore the characteristics of inductors in AC circuits and their phase relationships
  • Investigate the use of CRO for analyzing phase shifts in electrical circuits
USEFUL FOR

Electrical engineering students, circuit designers, and anyone interested in understanding the dynamics of phase differences in CR and LR circuits.

cash200107
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I have just done an experiment on CR and LR circuits.
http://img9.picsplace.to/img9/21/RC.jpg

Connect channel 1 of the CRO across both the capacitor and resistor and channel 2 across the resistor.The trace on channel 1 is taken as the p.d. across the capacitor and that on channel 2 as ths current through the capacitor.
http://img9.picsplace.to/img9/21/RL.jpg

Replace the capacitor waith a high inductance coil fitted on a double C-core.

I have some questions about this.

1.Why is channel 1 is connected across both the capacitor and resistor and not only the capacitor?

2.Why the trace on channel 2 gives the current through the capacitor?

3.When we increased the resistance value, the phase difference decreased.Why?

4.what is the phase difference between the p.d. and the current?

5.Change the resistance value and observe how this affects the phase
difference.Describle and explain the change,if any,in the phase difference.

6.Replace the capacitor with a high inductance coil fitted on a double c-core.Observe the CRO traces and note the phase diff between the p.d. across the inductor and the current through it.What is the phase diff. between the p.d. and the current?Why is it not 90°? How to sketch the CRO traces?

7.Change the resistance value and observe how this affects the phase difference.Describle and explain the change, if any, in the phase difference.

I have so many question to ask ..:cry:
 
Last edited by a moderator:
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Welcome to the PF, cash. It's a great resource for your learning. We have a rule here that you must show some of your own work in order for us to help you. We don't just give out answers to homework questions -- we try to help you to figure out the answers yourself.

So, to that end, I'll mention a couple things and ask a couple questions. First, you are connecting your oscilloscope so that you can see the voltage waveforms at the input to the circuit and the midpoint of the circuit. That let's you see the AC voltage waveform phase shift that results from going through the first component. Now, if you are monitoring the voltage across the bottom resistor with a 'scope probe, why does that tell you something about the current?

And tell us what you know so far about why there is a phase shift in LR and CR circuits. Have you seen the differential equations yet for the voltage-to-current relationship for a capacitor? For an inductor?
 

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