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Question
In a series LCR circuit, the phase difference between the voltage and the current is 45°. Then the power factor will be ______.
Options
0.607
0.707
0.808
1
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Solution
In a series LCR circuit, the phase difference between the voltage and the current is 45°. Then the power factor will be 0.707.
Explanation:
Let, Inductance = L
Conductance = C
Resistance = R
Frequency = f
Phase Difference between current and voltage = `phi`
As, in LCR circuit,
Power Factor = `cos phi`
Substitute the given values from,
`phi = 45^circ`
`cos 45^circ = 1/sqrt(2)`
Therefore, Power factor = 0.707
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