The following were installed in an AC circuit:

An ammeter, which reads 15 $$A_(rms)$$
A voltmeter, which reads 115 $$V_(rms)$$
A wattmeter, which reads 1,500 W

The power factor of the circuit is most nearly: 

A.  -0.87
B.  -0.5
C.  0.5
D.  0.87

1 Answer

DEMETRIOS LAMBROPOULOS

Updated on December 24th, 2020

Before we can calculate the power factor of the circuit we need to find the apparent power, S,  of the circuit. The apparent power is a combination of the reactive power and true power of the circuit and is the product of the circuit's voltage and current without reference to the phase angle. The apparent power can be calculated as follows:

S = Arms* Vrms = 15*115 = 1725 VA (Volt-Amps)

Now we can use this to calculate the power factor as follows:

PF = PS= 1500 W1725 VA = 0.8695652170.87

The answer is D. 0.87.

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