Practice Numerical Example 7.3 (Three-Phase Power Calculation) - 7.8 | Module 2: Fundamentals of AC Circuits | Basics of Electrical Engineering
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7.8 - Numerical Example 7.3 (Three-Phase Power Calculation)

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation