Is this the correct way to find apparent power and power factor

In summary, apparent power is the total power flowing through an electrical circuit, calculated by multiplying voltage and current. It is important for understanding power consumption and capacity. To calculate it, multiply voltage by current in DC circuits or use the RMS values in AC circuits. Power factor is the ratio of real power to apparent power and represents the efficiency of a circuit. To calculate it, divide real power by apparent power or use the cosine of the phase angle. The main factors that can affect apparent power and power factor are the types of loads, presence of harmonics, and length/type of electrical wiring. It is crucial to consider these factors when designing and analyzing electrical systems.
  • #1
pokie_panda
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Homework Statement



A load operates at a voltage of Vx = 125V-rms and absorbs P = 55W andQ = 26VAR of power. Use this information to calculate the apparent power (S) and the power factor (pf) for the load.

Homework Equations



S = sqrt [ P^2 + Q^2]
pf = P / S


The Attempt at a Solution



S=60.8 VA
pf=.90
 
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  • #2
Looks good. Maybe include:
pf = 0.90 lagging

since your load is inductive (it absorbs positive reactive power).
 

1. What is apparent power and why is it important?

Apparent power is the product of voltage and current in an electrical circuit. It represents the total power flowing through the circuit, including both the real and reactive power components. It is important because it allows us to understand the overall power consumption and capacity of the circuit.

2. How do you calculate apparent power?

To calculate apparent power, you need to multiply the voltage (in volts) by the current (in amperes). The resulting unit is volt-amperes (VA). In an AC circuit, where the voltage and current are constantly changing, the apparent power can also be calculated as the product of the root mean square (RMS) voltage and current.

3. What is power factor and why is it important?

Power factor is the ratio of real power (measured in watts) to apparent power. It represents the efficiency of a circuit in converting electrical energy into useful work. A higher power factor means that the circuit is more efficient and less energy is wasted.

4. How do you calculate power factor?

To calculate power factor, divide the real power by the apparent power. The resulting value will range from 0 to 1, with 1 representing a perfect power factor. Alternatively, you can also calculate power factor using the cosine of the phase angle between the voltage and current in an AC circuit.

5. What factors can affect apparent power and power factor?

The main factors that can affect apparent power and power factor are the types of loads in the circuit, such as motors and capacitors, and the presence of harmonics. In addition, the length and type of electrical wiring can also impact these values. It is important to consider these factors when designing and analyzing electrical systems.

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