How do you calculate the total power in a resistive AC circuit?

Practice Questions

Q1
How do you calculate the total power in a resistive AC circuit?
  1. P = V^2 / R
  2. P = I^2 * R
  3. P = V * I * cos(φ)
  4. P = R * I

Questions & Step-by-Step Solutions

How do you calculate the total power in a resistive AC circuit?
Correct Answer: P = V * I * cos(φ)
  • Step 1: Identify the voltage (V) in the circuit. This is the electrical potential difference measured in volts.
  • Step 2: Identify the current (I) flowing through the circuit. This is the flow of electric charge measured in amperes.
  • Step 3: Determine the phase angle (φ) between the voltage and current. In a purely resistive circuit, this angle is 0 degrees, so cos(φ) = 1.
  • Step 4: Use the formula P = V * I * cos(φ) to calculate the total power. Since cos(φ) is 1 in a resistive circuit, the formula simplifies to P = V * I.
  • Power Calculation in AC Circuits – Understanding how to calculate total power using voltage, current, and the phase angle in an AC circuit.
  • Resistive vs. Reactive Loads – Recognizing that in a purely resistive circuit, the phase angle (φ) is zero, simplifying the power calculation.
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