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What is the formula for calculating the total power in an AC circuit with a powe

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Question: What is the formula for calculating the total power in an AC circuit with a power factor?

Options:

  1. P = VI
  2. P = VI cos(φ)
  3. P = VI sin(φ)
  4. P = V^2/R

Correct Answer: P = VI cos(φ)

Solution:

The total power in an AC circuit is given by P = VI cos(φ), where φ is the phase angle.

What is the formula for calculating the total power in an AC circuit with a powe

Practice Questions

Q1
What is the formula for calculating the total power in an AC circuit with a power factor?
  1. P = VI
  2. P = VI cos(φ)
  3. P = VI sin(φ)
  4. P = V^2/R

Questions & Step-by-Step Solutions

What is the formula for calculating the total power in an AC circuit with a power factor?
  • Step 1: Understand that in an AC circuit, power is not just about voltage (V) and current (I).
  • Step 2: Recognize that the power factor (cos(φ)) is important. It shows how much of the power is actually used to do work.
  • Step 3: Identify the phase angle (φ), which is the angle between the voltage and current waveforms.
  • Step 4: Use the formula P = VI cos(φ) to calculate the total power (P).
  • Step 5: Plug in the values for voltage (V), current (I), and the cosine of the phase angle (cos(φ)) into the formula.
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