Practice Numerical Example 7.3 (three-phase Power Calculation) (7.8) - Fundamentals of AC Circuits
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Numerical Example 7.3 (Three-Phase Power Calculation)

Practice - Numerical Example 7.3 (Three-Phase Power Calculation)

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the total real power for a balanced three-phase system with VL = 400 V, IL = 30 A, and a power factor of 0.9?

💡 Hint: Use the formula Ptotal = 3 × VL × IL × PF.

Question 2 Easy

If apparent power is 17 kVA and power factor is 0.9, what is the total real power?

💡 Hint: Real power can be calculated by multiplying apparent power by power factor.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the formula for calculating total real power in a three-phase system?

Ptotal = VL × IL
Ptotal = 3 × VL × IL × PF
Ptotal = VL + IL

💡 Hint: Remember that 'P' stands for real power.

Question 2

True or False: Reactive power does useful work in the circuit.

True
False

💡 Hint: Think about the roles of different types of power.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A balanced three-phase load has an IL of 15 A and PF of 0.85. If VL is 440 V, calculate the total real, apparent, and reactive power using the appropriate formulas.

💡 Hint: Start by calculating the total real power using the power factor.

Challenge 2 Hard

In a star connection, if the line voltage is 480 V and the line current is 12 A with a PF of 0.7, verify your calculations involving real and reactive power, confirming your finding about apparent power.

💡 Hint: Make sure to derive sin(ϕ) after finding PF.

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