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In an inductive circuit, when the XL value increases, the circuit power factor?
- a)Increases
- b)Decreases
- c)Remains the same
- d)Becomes zero
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
In an inductive circuit, when the XL value increases, the circuit powe...
The power factor, that is, cos(phi) is equal to the resistance divided by the impedance in the circuit, hence as impedance increases, the power factor decreases.
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In an inductive circuit, when the XL value increases, the circuit powe...
Understanding Inductive Circuits and Power Factor
In an inductive circuit, the power factor is a crucial parameter that indicates the efficiency of the circuit in utilizing electric power. As the inductive reactance (XL) increases, the power factor behaves in a specific manner.
Inductive Reactance (XL)
- XL is the opposition that an inductor presents to the flow of alternating current (AC).
- It increases with frequency and inductance, affecting the overall impedance of the circuit.
Power Factor Definition
- The power factor (PF) is defined as the cosine of the phase angle (φ) between the voltage and current waveforms.
- PF = cos(φ). A power factor of 1 indicates that all the power is used effectively, while a power factor of 0 indicates that no real power is used.
Effect of Increased XL on Power Factor
- As XL increases:
- The phase angle (φ) between voltage and current increases.
- A larger phase angle means a lower cosine value, resulting in a decreased power factor.
Why the Power Factor Decreases
- Increased inductance leads to a higher proportion of reactive power (measured in VARs), which does not contribute to useful work.
- The circuit becomes more "inductive," meaning it lags more behind the voltage, hence reducing the effective power used.
Conclusion
In summary, when the inductive reactance (XL) value increases in an inductive circuit, the power factor decreases. This means that less of the apparent power is being converted into useful work, leading to inefficiencies in the system. Hence, the correct answer is option 'B'.
In an inductive circuit, the power factor is a crucial parameter that indicates the efficiency of the circuit in utilizing electric power. As the inductive reactance (XL) increases, the power factor behaves in a specific manner.
Inductive Reactance (XL)
- XL is the opposition that an inductor presents to the flow of alternating current (AC).
- It increases with frequency and inductance, affecting the overall impedance of the circuit.
Power Factor Definition
- The power factor (PF) is defined as the cosine of the phase angle (φ) between the voltage and current waveforms.
- PF = cos(φ). A power factor of 1 indicates that all the power is used effectively, while a power factor of 0 indicates that no real power is used.
Effect of Increased XL on Power Factor
- As XL increases:
- The phase angle (φ) between voltage and current increases.
- A larger phase angle means a lower cosine value, resulting in a decreased power factor.
Why the Power Factor Decreases
- Increased inductance leads to a higher proportion of reactive power (measured in VARs), which does not contribute to useful work.
- The circuit becomes more "inductive," meaning it lags more behind the voltage, hence reducing the effective power used.
Conclusion
In summary, when the inductive reactance (XL) value increases in an inductive circuit, the power factor decreases. This means that less of the apparent power is being converted into useful work, leading to inefficiencies in the system. Hence, the correct answer is option 'B'.
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In an inductive circuit, when the XL value increases, the circuit power factor?a)Increasesb)Decreasesc)Remains the samed)Becomes zeroCorrect answer is option 'B'. Can you explain this answer?
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