Power consumption in LCR circuit

AI Thread Summary
In an LCR circuit with a variable frequency AC supply, when the frequency matches the natural frequency, the impedance equals resistance, leading to power consumption solely by the resistive load. Reactances do not consume power; they store and release energy, contributing to the circuit's overall behavior but not to power dissipation. At resonance, the power factor is unity, indicating that all input power is consumed by the resistor, with reactive power being zero. However, reactances can influence the power dissipation in resistive elements by altering the impedance and current flow. Ultimately, while L and C do not consume power, they significantly affect the circuit's efficiency and power absorption characteristics.
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If we have a variable frequency AC supply in LCR circuit and when the frequency equals natural frequency the impedence is equal to resistance and the power consumption is purely that of resistive load circuit.
Is this true even for other frequencies i.e. do reactance participates in power consumption or not.
 
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Reactances do not consume power. They store the energy and release it back to the source in a cycle. Power is consumed only by the resistive loads. In case of resonance, power factor of the circuit is unity, meaning the reactive power is 0. So, whatever power is input, all of it is consumed in the resistor.
 
It's worth while pointing out that the reactances in a circuit can affect the amount of power dissipated by the resistive elements. The LC combination can match or mismatch the load R (Edit: transform it) and the source, despite not dissipating any power themselves. For instance, the low power dissipated by a high resistance from a low voltage AC supply can be increased as much as you like by LC matching. The only limit is when you hit the Maximum Power Theorem condition, where the source resistance is the same as the transformed load resistance.
 
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Worth mentioning that varying the frequency will impact the impedance which varies the current passing through R. Therefore, the reactances play a role in the power absorbed by R, although L & C do not consume power.
 
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