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What is the average power consumed in an AC circuit with a power factor of 0.8 a
What is the average power consumed in an AC circuit with a power factor of 0.8 and an RMS voltage of 100 V with a current of 5 A?
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Practice Questions
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Q1
What is the average power consumed in an AC circuit with a power factor of 0.8 and an RMS voltage of 100 V with a current of 5 A?
200 W
400 W
300 W
500 W
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Average power (P) is given by P = V_rms * I_rms * PF. Therefore, P = 100 V * 5 A * 0.8 = 400 W.
Questions & Step-by-step Solutions
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Q
Q: What is the average power consumed in an AC circuit with a power factor of 0.8 and an RMS voltage of 100 V with a current of 5 A?
Solution:
Average power (P) is given by P = V_rms * I_rms * PF. Therefore, P = 100 V * 5 A * 0.8 = 400 W.
Steps: 5
Show Steps
Step 1: Identify the formula for average power in an AC circuit, which is P = V_rms * I_rms * PF.
Step 2: Write down the values given in the question: V_rms = 100 V, I_rms = 5 A, and Power Factor (PF) = 0.8.
Step 3: Substitute the values into the formula: P = 100 V * 5 A * 0.8.
Step 4: Calculate the multiplication: First, multiply 100 V by 5 A to get 500. Then, multiply 500 by 0.8.
Step 5: The result of 500 * 0.8 is 400. Therefore, the average power consumed is 400 W.
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