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What is power factor of an R-L series circuit?

Updated: 8/9/2023
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Goldypadia

Lvl 1
13y ago

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Power factor is real power divided by total power. Power factor can be written as:

pf = R / sqrt(R^2 + X^2),

where X is the reactive resistance of the active elements (in this case, L):

pf = R / sqrt (R^2 + (wL)^2)

w = frequency in radians of the AC frequency for which the power factor is to be calculated.

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Wiki User

13y ago
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Wiki User

12y ago

OK, I'll try it . . . This is going to be an approximation to the truth. I hope it'll be

close enough to suit your requirement:

The power factor is going to depend on the frequency you're trying to pump

through the circuit.

As I recall from the days when I was Mike Faraday's scoutmaster and he was

struggling to earn his Electricity merit badge, the power factor is the cosine of

the phase angle between the voltage and current, and the tangent of that

angle is the reactance divided by the resistance.

The reactance is J = (2 pi) x (frequency) x (L)

Tan(phase) = J / R

Magnitude of the complex impedance is Z= sqrt(J2 + R2)

cos(phase) = R/|Z| = R/sqrt(J2 + R2) and don't forget that J = 2 pi freq L.

That looks right, because as as the inductance becomes smaller, 'J' goes to zero,

and that expression for the power factor would go to ' 1 ', as it should.

In conclusion, I think the power factor is "leading", because wherever inductance lurks,

the voltage leads the current.

I'm sure things have changed since those days, but I'm still going to submit this

as my proposed solution.

AnswerThe terms 'leading' and 'lagging' refer to what the load current is doing, relative

to the supply voltage. In an L-R circuit, the load current lags the supply voltage,

so the power factor is a 'lagging power factor'.

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13y ago

The power factor is given by R/Z

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Wiki User

11y ago

Power factor is one

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Q: What is power factor of an R-L series circuit?
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