A three-phase alternator is operating at 450...

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Question 1 of 205eccefa3bacbc34ba4d480e4

A three-phase alternator is operating at 450 volts with the switchboard ammeter indicating 300 amps. The kW meter currently indicates 163.6 kW, with a power factor of 0.7. If the power factor increases to 0.8, how much would the kW meter reading increase by?

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🔍 Key Concepts

• Three-phase power formula relating kW, volts, amps, and power factor • How power factor affects real power (kW) when voltage and current stay the same • Difference between initial and final kW values when power factor changes

💭 Think About

• First, write the general formula for 3-phase real power using voltage, current, and power factor. Which terms will stay constant when only the power factor changes? • Use the given power factor and measured kW to check that your formula and numbers make sense before changing the power factor. • After finding the new kW at the higher power factor, what operation should you perform to get the increase shown on the meter, and how does that compare with the answer choices?

✅ Before You Answer

• Confirm you are using line voltage and line current correctly for a 3-phase system. • Verify that the initial kW from the formula matches (or very closely matches) the given 163.6 kW before moving on. • Carefully compute the difference between final and initial kW and round consistently before picking the closest multiple-choice option.

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