n the Two wattmeter method of measuring power in a balanced three-phase circuit, one wattmeter shows zero and the other positive maximum. The load power factor is ___________
Question
n the Two wattmeter method of measuring power in a balanced three-phase circuit, one wattmeter shows zero and the other positive maximum. The load power factor is ___________
Solution
The load power factor in this case is zero.
Here's the step by step explanation:
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In a balanced three-phase circuit, the power is measured using two wattmeters.
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If one wattmeter is reading zero, it means that the phase difference between the current and the voltage in that phase is 90 degrees. This is because the power (P) in any phase is given by P=VIcosθ, where V is the voltage, I is the current, and θ is the phase difference between the voltage and the current. If θ is 90 degrees, cosθ is zero, and hence the power is zero.
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The power factor (cosθ) is a measure of how effectively the current is being converted into useful work output and it is particularly important in power supply systems. It is defined as the cosine of the angle between the voltage and the current.
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Therefore, if the power in one phase is zero (as indicated by the zero wattmeter reading), the power factor in that phase is also zero.
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