Phase difference in CR and LR circuit

In summary, the conversation discusses an experiment on RC and RL circuits, where the CRO (Cathode Ray Oscilloscope) is used to observe the voltage and current waveforms. Channel 1 of the CRO is connected across both the capacitor and resistor, while channel 2 is connected across the resistor. The phase difference between the voltage and current waveforms is observed by changing the resistance value. The experiment also involves replacing the capacitor with a high inductance coil and observing the phase difference between the voltage and current waveforms. Questions are raised about the connections and phase difference in the circuit. The moderator reminds the participant to show their own work and provides prompts for further discussion.
  • #1
cash200107
2
0
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 throught 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:
 
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  • #2
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?
 

1. What is phase difference in a CR and LR circuit?

The phase difference in a CR (capacitor-resistor) and LR (inductor-resistor) circuit refers to the difference in the timing between the voltage and current waveforms. In a CR circuit, the current leads the voltage by 90 degrees, while in an LR circuit, the voltage leads the current by 90 degrees.

2. How does the phase difference affect the behavior of the circuit?

The phase difference affects the behavior of the circuit by changing the amount of power being dissipated by the components. When the voltage and current are in phase (0 degrees), the circuit is in a purely resistive state and all the power is dissipated by the resistor. However, when there is a phase difference, the power is shared between the resistor, capacitor, and inductor.

3. How is the phase difference calculated in a CR and LR circuit?

The phase difference in a CR circuit can be calculated using the formula tan(phi) = XC/R, where XC is the reactance of the capacitor and R is the resistance. In an LR circuit, the formula is tan(phi) = XL/R, where XL is the reactance of the inductor. The phase difference can also be calculated using trigonometric functions such as cosine and sine.

4. What is the significance of the phase difference in AC circuits?

The phase difference is significant in AC (alternating current) circuits because it determines the relationship between the voltage and current. This is important in applications such as power generation and transmission, where efficiency is affected by the phase difference between the voltage and current.

5. How can the phase difference be adjusted in a CR or LR circuit?

The phase difference in a CR or LR circuit can be adjusted by changing the values of the components. For example, the phase difference in a CR circuit can be increased by increasing the capacitance or decreasing the resistance. In an LR circuit, the phase difference can be increased by increasing the inductance or decreasing the resistance.

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