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In a series RLC circuit, if the frequency of the source increases then the power factor of the circuit:
- a)decreases
- b)Increases
- c)First increases then decreases
- d)First decrease then increase
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
In a series RLC circuit, if the frequency of the source increases then...
The power of a series RLC circuit is given by
P.F = cosϕ = 
Where,
Z2 = R2 + (XL – XC)2
At low frequencies: (ω < ωR)
As, ω → 0
PF → 0
XC > XL
At ω = ωR (Resonance)
P.F = 1
XC = XL
At high frequencies: (ω > ωR)
XL > XC
As, ω → ∞
P.F → 0
Most Upvoted Answer
In a series RLC circuit, if the frequency of the source increases then...
Understanding Power Factor in RLC Circuits
In a series RLC circuit, the power factor is a crucial parameter that signifies how effectively the circuit converts electrical power into useful work. It is defined as the cosine of the phase angle (φ) between the voltage and current waveforms.
Effect of Frequency on RLC Circuit
- At low frequencies, the circuit behaves inductively, leading to a lagging power factor.
- As the frequency increases, the inductive reactance (XL = 2πfL) rises, which can initially cause the power factor to worsen.
Resonance in RLC Circuits
- The circuit reaches resonance at a specific frequency (f0), where the inductive and capacitive reactances are equal (XL = XC).
- At resonance, the power factor is at its maximum (1), indicating that all the power is being effectively utilized.
Post-Resonance Behavior
- Beyond the resonant frequency, the circuit starts to behave more capacitively (XC < xl),="" and="" the="" power="" factor="" begins="" to="" drop="" />
- Thus, as frequency increases through the resonance point, the power factor first increases, reaching its peak at resonance, and then decreases as the frequency continues to rise.
Conclusion
- Therefore, the power factor in a series RLC circuit first increases as the frequency approaches resonance and then decreases after surpassing it.
- This behavior corresponds to option 'C': “First increases then decreases.”
Understanding this relationship helps in designing circuits for optimal performance and efficient energy use.
In a series RLC circuit, the power factor is a crucial parameter that signifies how effectively the circuit converts electrical power into useful work. It is defined as the cosine of the phase angle (φ) between the voltage and current waveforms.
Effect of Frequency on RLC Circuit
- At low frequencies, the circuit behaves inductively, leading to a lagging power factor.
- As the frequency increases, the inductive reactance (XL = 2πfL) rises, which can initially cause the power factor to worsen.
Resonance in RLC Circuits
- The circuit reaches resonance at a specific frequency (f0), where the inductive and capacitive reactances are equal (XL = XC).
- At resonance, the power factor is at its maximum (1), indicating that all the power is being effectively utilized.
Post-Resonance Behavior
- Beyond the resonant frequency, the circuit starts to behave more capacitively (XC < xl),="" and="" the="" power="" factor="" begins="" to="" drop="" />
- Thus, as frequency increases through the resonance point, the power factor first increases, reaching its peak at resonance, and then decreases as the frequency continues to rise.
Conclusion
- Therefore, the power factor in a series RLC circuit first increases as the frequency approaches resonance and then decreases after surpassing it.
- This behavior corresponds to option 'C': “First increases then decreases.”
Understanding this relationship helps in designing circuits for optimal performance and efficient energy use.
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In a series RLC circuit, if the frequency of the source increases then the power factor of the circuit:a)decreasesb)Increasesc)First increases then decreasesd)First decrease then increaseCorrect answer is option 'C'. Can you explain this answer?
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