Question
Download Solution PDFRLC parallel circuit, if current through capacitor and inductor is equal, then, what is the power factor?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Consider the parallel RLC circuit as shown:
This circuit produces a parallel resonance when the current through the circuit when the resultant current through the parallel combination is in phase with the supply voltage.
- At the resonance, there will be large circulating currents between the inductor and capacitor due to energy oscillations.
- A parallel resonant circuit stores the circuit energy in the magnetic field of the inductor and the electric field of the capacitor.
- This energy is constantly being transferred back and forth between the inductor and the capacitor which results in zero current and energy being drawn from the supply.
This is because the corresponding instantaneous values of IL and IC will always be equal and opposite and therefore the current drawn from the supply is the vector addition of these two currents and the current flowing in IR.
The total impedance of a parallel resonance circuit at resonance becomes just the value of the resistance in the circuit and Z = R.
Conclusion:
The power factor is unity at the resonance.(θ = 0°) Current in phase with the supply voltage.
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