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For a total harmonic distortion of 0.1 with I1 = 4A and Rc = 8Ω, calculate total power
- a)50 W
- b)70 W
- c)64.64 W
- d)55.55 W
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
For a total harmonic distortion of 0.1 with I1 = 4A and Rc = 8Ω,...
To calculate the total harmonic distortion (THD), we need to know the value of the fundamental current (I1) and the current through the harmonic component (Ih) in the circuit.
The formula for THD is given by:
THD = √(Ih^2 / I1^2)
Given that THD = 0.1 and I1 = 4A, we can rearrange the formula to solve for Ih:
0.1 = √(Ih^2 / (4A)^2)
0.1 = √(Ih^2 / 16A^2)
0.1 * 16A^2 = Ih^2
1.6A^2 = Ih^2
Taking the square root of both sides:
√(1.6A^2) = Ih
Ih ≈ 1.264A
Therefore, the current through the harmonic component (Ih) is approximately 1.264A.
The formula for THD is given by:
THD = √(Ih^2 / I1^2)
Given that THD = 0.1 and I1 = 4A, we can rearrange the formula to solve for Ih:
0.1 = √(Ih^2 / (4A)^2)
0.1 = √(Ih^2 / 16A^2)
0.1 * 16A^2 = Ih^2
1.6A^2 = Ih^2
Taking the square root of both sides:
√(1.6A^2) = Ih
Ih ≈ 1.264A
Therefore, the current through the harmonic component (Ih) is approximately 1.264A.
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Community Answer
For a total harmonic distortion of 0.1 with I1 = 4A and Rc = 8Ω,...
Concept:
Total harmonics distortion is given by,
Now, total power due to all harmonic component
Calculation:
Given that, THD = 0.1
IL = 4 A, Rc = 8 Ω
⇒ PT = (4)2(1 + (0.1)2) × 8/2
Now, total power due to all harmonic component
Calculation:
Given that, THD = 0.1
IL = 4 A, Rc = 8 Ω
⇒ PT = (4)2(1 + (0.1)2) × 8/2
PT = 64.64 W
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For a total harmonic distortion of 0.1 with I1 = 4A and Rc = 8Ω, calculate total powera)50 Wb)70 Wc)64.64 Wd)55.55 WCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about For a total harmonic distortion of 0.1 with I1 = 4A and Rc = 8Ω, calculate total powera)50 Wb)70 Wc)64.64 Wd)55.55 WCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a total harmonic distortion of 0.1 with I1 = 4A and Rc = 8Ω, calculate total powera)50 Wb)70 Wc)64.64 Wd)55.55 WCorrect answer is option 'C'. Can you explain this answer?.
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