In a series LCR what will be phase difference between voltage drop across inductor and capacitora)0b)90c)180d)45Correct answer is option 'C'. Can you explain this answer?

Question

Answer

Because In C-R circuit current lead by π/2 and in L-R circuit voltage lead by π/2 so after drawing the phasor diagram and current will be same so the phase difference is 2π

Answer

Let’s keep this simple and to the point. We know that:
1.in a series circuit the same current flows through each component
2.the voltage across an ideal inductor L is 90˚ ahead of an AC current through it
3.the voltage across an ideal capacitor C is 90˚ behind an AC current through it
So putting these facts together we can conclude that given an AC series current the voltages across any L and C must have a phase difference of 180˚

Answer

Understanding Phase Difference in LCR Circuits
In a series LCR (Inductor-Capacitor-Resistor) circuit, the phase relationships between the voltage and current play a crucial role in determining circuit behavior.
Voltage Across Inductor (V_L)
- The voltage across the inductor (V_L) leads the current (I) by 90 degrees.
- This is due to the inductor's property of resisting changes in current, causing a phase shift.
Voltage Across Capacitor (V_C)
- Conversely, the voltage across the capacitor (V_C) lags behind the current (I) by 90 degrees.
- This occurs because capacitors store energy in an electric field and discharge it when the current changes direction.
Phase Difference Between V_L and V_C
- Since V_L leads I by 90 degrees and V_C lags I by 90 degrees, we can calculate the phase difference between V_L and V_C.
- The total phase difference is:
- V_L leads I by 90 degrees
- V_C lags I by 90 degrees
- Therefore, the phase difference between V_L and V_C is 90 + 90 = 180 degrees.
Conclusion
- The phase difference between the voltage drop across the inductor and the voltage drop across the capacitor is indeed 180 degrees, which is equivalent to option 'C'.
- This indicates that when the voltage across the inductor is at its maximum, the voltage across the capacitor is at its minimum, and vice versa.
Understanding these phase relationships is crucial for analyzing and designing AC circuits effectively.

Answer

Let’s keep this simple and to the point. We know that:
1.in a series circuit the same current flows through each component
2.the voltage across an ideal inductor L is 90˚ ahead of an AC current through it
3.the voltage across an ideal capacitor C is 90˚ behind an AC current through it
So putting these facts together we can conclude that given an AC series current the voltages across any L and C must have a phase difference of 180˚

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