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Find the value of Q if the reactive power is 10W and the average power is 5W.
- a)10
- b)5
- c)2
- d)1
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Find the value of Q if the reactive power is 10W and the average power...
Q is the ratio of the reactive power to the average power.
Substituting the given values from the question, we get Q=2.
Substituting the given values from the question, we get Q=2.
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Find the value of Q if the reactive power is 10W and the average power...
To find the value of Q, we need to understand the concept of reactive power and average power. Reactive power represents the power that is exchanged between reactive elements (inductors and capacitors) and the power source, while average power represents the actual power being consumed or dissipated in the circuit.
Reactive power (Q) is given by the formula:
Q = √(S^2 - P^2)
where S is the apparent power and P is the average power.
Given that the average power (P) is 5W and the reactive power (Q) is 10W, we can substitute these values into the formula to find the value of S.
Q = √(S^2 - P^2)
10 = √(S^2 - 5^2)
Solving this equation will give us the value of S, and then we can substitute it back into the formula to find the value of Q.
Calculating the value of S:
10^2 = S^2 - 5^2
100 = S^2 - 25
S^2 = 125
S = √125
S ≈ 11.18
Substituting the value of S back into the formula to find Q:
Q = √(S^2 - P^2)
Q = √(11.18^2 - 5^2)
Q = √(124.9924 - 25)
Q = √99.9924
Q ≈ 9.999
The value of Q is approximately 10W. Therefore, the correct answer is option C) 10.
Reactive power (Q) is given by the formula:
Q = √(S^2 - P^2)
where S is the apparent power and P is the average power.
Given that the average power (P) is 5W and the reactive power (Q) is 10W, we can substitute these values into the formula to find the value of S.
Q = √(S^2 - P^2)
10 = √(S^2 - 5^2)
Solving this equation will give us the value of S, and then we can substitute it back into the formula to find the value of Q.
Calculating the value of S:
10^2 = S^2 - 5^2
100 = S^2 - 25
S^2 = 125
S = √125
S ≈ 11.18
Substituting the value of S back into the formula to find Q:
Q = √(S^2 - P^2)
Q = √(11.18^2 - 5^2)
Q = √(124.9924 - 25)
Q = √99.9924
Q ≈ 9.999
The value of Q is approximately 10W. Therefore, the correct answer is option C) 10.
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Find the value of Q if the reactive power is 10W and the average power is 5W.a)10b)5c)2d)1Correct 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 Find the value of Q if the reactive power is 10W and the average power is 5W.a)10b)5c)2d)1Correct 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 Find the value of Q if the reactive power is 10W and the average power is 5W.a)10b)5c)2d)1Correct answer is option 'C'. Can you explain this answer?.
Find the value of Q if the reactive power is 10W and the average power is 5W.a)10b)5c)2d)1Correct 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 Find the value of Q if the reactive power is 10W and the average power is 5W.a)10b)5c)2d)1Correct 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 Find the value of Q if the reactive power is 10W and the average power is 5W.a)10b)5c)2d)1Correct answer is option 'C'. Can you explain this answer?.
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