GATE EE 2016 Set 2 — Question 22
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+1 / -0MediumRMS & Average ValuesAC Power & Three-PhaseElectric Circuits
Electric Circuits → AC Power & Three-Phase → RMS & Average Values
Last updated
Question
The voltage () and current () across a load are as follows.
,
.
The average power consumed by the load, in W, is ___________.
,
.
The average power consumed by the load, in W, is ___________.
Correct answer
249 to 251
Solution
Given the instantaneous voltage and current:
V
AThe average power is defined as:
In a circuit with harmonics, the total average power is the sum of the average powers produced by each harmonic component of the same frequency:
where is the phase difference between the harmonic voltage and current.From the given expressions:
A A
Phase of voltage
Phase of current
Phase difference
W
Total average power:
W.
V
AThe average power is defined as:
In a circuit with harmonics, the total average power is the sum of the average powers produced by each harmonic component of the same frequency:
where is the phase difference between the harmonic voltage and current.From the given expressions:
1.Fundamental component ():
V VA A
Phase of voltage
Phase of current
Phase difference
W
2.Higher harmonics ():
The voltage has no components at or (i.e., ). Therefore, these current harmonics do not contribute to the average power.Total average power:
W.
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE EE question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on AC Power & Three-Phase
2026 Set 1 Q23A circuit with ideal elements is shown. [figure] Which one of the following options correctly…2026 Set 1 Q24For the circuit shown, which one of the following options correctly identifies the Thevenin’s…2026 Set 1 Q25Refer to the four circuits shown. Which one of the following options for and …2026 Set 1 Q26A single-phase voltage source V delivers a current,…2026 Set 1 Q42An electrical component has voltage drop , when the current through it is…