Phase difference in CR and LR circuits

In summary, the current through the capacitor decreases as the resistance is increased. This is because there is less voltage across the resistor and the current through the capacitor is in phase with the voltage.
  • #1
chris_yau
7
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.

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

Why the trace on channel 2 gives the current throught the capacitor?

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

I have so many question to ask:confused: ..
 
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  • #2
I have thought about this today.

(1) The channel 2 will be earthed if channel 1 is only connected the capacitor. Thus, we cannot observe the trace 2 and cannot compare the phase difference.

(2) There is no phase difference between trace 2 and the current since this is the voltage across the resistor only. Therefore, trace 2 gives the current through the capacitor.

(3)I have no idea about the third question...:cry:
 
  • #3
One of the leads of the oscilloscope is earthed. This means that one observe the potential differences at certain points in a circuit relative to earth. Channel 1 will thus in effect show the ouput voltage of the signal generator and channel 2 that of resistor, which in effect is the current in the circuit since the current through the resistor and the potential over a resistor is in phase - so your reasoning is correct since it is a series circuit.

Remember the what the RC charge - discharge curves look like? With a larger resistance less current flows in the circuit so the capacitor need to store less charge and will be on the parts of the curve where it "responds quicker" than if more charge would have been stored.
 
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1. What is phase difference in CR and LR circuits?

Phase difference in CR and LR circuits refers to the time delay between the current and voltage waveforms in these types of circuits. It is measured in degrees and can range from 0 to 360 degrees.

2. How is phase difference calculated in CR and LR circuits?

Phase difference in CR and LR circuits can be calculated using trigonometric functions such as cosine and tangent. The formula is phase difference = arccos(V_R/V_L) or phase difference = arctan(X_L/R), depending on the type of circuit.

3. Why is phase difference important in CR and LR circuits?

Phase difference is important in CR and LR circuits because it affects the behavior and performance of these circuits. It can impact the power factor, efficiency, and stability of a circuit.

4. What is the significance of a phase difference of 0 or 180 degrees in CR and LR circuits?

A phase difference of 0 or 180 degrees in CR and LR circuits indicates that the current and voltage waveforms are in sync or in opposite polarity, respectively. This can result in maximum power transfer, making it an ideal situation for certain applications.

5. How can phase difference be adjusted in CR and LR circuits?

Phase difference in CR and LR circuits can be adjusted by changing the values of the components in the circuit. For example, the phase difference in a CR circuit can be increased by increasing the value of the capacitor, while in an LR circuit, it can be increased by increasing the value of the inductor.

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