What is the average power consumed in an AC circuit with a power factor of 0.5 and an RMS voltage of 100 V with a current of 5 A? (2020)

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Q: What is the average power consumed in an AC circuit with a power factor of 0.5 and an RMS voltage of 100 V with a current of 5 A? (2020)

Solution: Average power (P) is given by P = V_rms × I_rms × power factor. Thus, P = 100 V × 5 A × 0.5 = 250 W.

Steps: 6

Step 1: Identify the formula for average power in an AC circuit, which is P = V_rms × I_rms × power factor.
Step 2: Write down the given values: V_rms = 100 V, I_rms = 5 A, and power factor = 0.5.
Step 3: Substitute the values into the formula: P = 100 V × 5 A × 0.5.
Step 4: Calculate the multiplication: First, multiply 100 V by 5 A to get 500 VA (volt-amperes).
Step 5: Now, multiply 500 VA by the power factor (0.5): 500 VA × 0.5 = 250 W.
Step 6: Conclude that the average power consumed in the circuit is 250 W.