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What is the formula for calculating the total power in a three-phase AC system?
What is the formula for calculating the total power in a three-phase AC system?
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Practice Questions
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Q1
What is the formula for calculating the total power in a three-phase AC system?
P = √3 * V * I * cos(φ)
P = V * I
P = V^2 / R
P = I^2 * R
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The total power in a three-phase AC system is calculated using the formula P = √3 * V * I * cos(φ), where φ is the phase angle.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the formula for calculating the total power in a three-phase AC system?
Solution:
The total power in a three-phase AC system is calculated using the formula P = √3 * V * I * cos(φ), where φ is the phase angle.
Steps: 7
Show Steps
Step 1: Understand that a three-phase AC system has three wires carrying alternating current.
Step 2: Know that 'P' represents the total power in watts.
Step 3: Recognize that 'V' is the voltage across each phase in volts.
Step 4: Identify 'I' as the current flowing through each phase in amperes.
Step 5: Learn that 'cos(φ)' is the power factor, which accounts for the phase difference between voltage and current.
Step 6: Combine these elements into the formula: P = √3 * V * I * cos(φ).
Step 7: Use this formula to calculate the total power in a three-phase AC system.
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