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A single phase 50 Hz motor takes 20 A at 0.75 power factor lagging from a 220 V sinusoidal supply. The capacitance required to be connected in parallel to raise the power factor to 0.9 lagging is ______ (in μF)
Correct answer is between '86,87'. Can you explain this answer?
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Verified Answer
A single phase 50 Hz motor takes 20 A at 0.75 power factor lagging fro...
I1 = 20A, f = 50 Hz
cosϕ1 = 0.75 ⇒ ϕ1 = 41.41∘ ⇒ tanϕ1 = 0.88
cosϕ1 = 0.75 ⇒ ϕ1 = 41.41∘ ⇒ tanϕ1 = 0.88
cosϕ2 = 0.9 ⇒ ϕ2 = 25.84∘ ⇒ tanϕ2 = 0.48
Ic = I1 cosϕ1 (tanϕ1 − tanϕ2)
= (20) (0.75) (0.88 – 0.48) = 6 A
= (20) (0.75) (0.88 – 0.48) = 6 A
Most Upvoted Answer
A single phase 50 Hz motor takes 20 A at 0.75 power factor lagging fro...
Microfarads).
Solution:
Given,
Voltage, V = 220 V
Current, I = 20 A
Power factor, cos(φ1) = 0.75 lagging
Power factor, cos(φ2) = 0.9 lagging
We know that the apparent power, S = V × I
∴ S = 220 × 20 = 4400 VA
The active power, P = S × cos(φ)
∴ P1 = 4400 × 0.75 = 3300 W (before correction)
P2 = 4400 × 0.9 = 3960 W (after correction)
Let X be the capacitive reactance required to improve the power factor.
∴ X = P1/(2πfV^2 cos(φ1))
= 3300/(2π × 50 × 220^2 × 0.75)
= 5.03 Ω
The capacitance, C = X/(2πfXc)
∴ C = 1/(2πfXC)
= 1/(2π × 50 × 5.03)
= 3.16 × 10^-5 F
= 31.6 μF (approx)
Therefore, the required capacitance is 31.6 μF.
Solution:
Given,
Voltage, V = 220 V
Current, I = 20 A
Power factor, cos(φ1) = 0.75 lagging
Power factor, cos(φ2) = 0.9 lagging
We know that the apparent power, S = V × I
∴ S = 220 × 20 = 4400 VA
The active power, P = S × cos(φ)
∴ P1 = 4400 × 0.75 = 3300 W (before correction)
P2 = 4400 × 0.9 = 3960 W (after correction)
Let X be the capacitive reactance required to improve the power factor.
∴ X = P1/(2πfV^2 cos(φ1))
= 3300/(2π × 50 × 220^2 × 0.75)
= 5.03 Ω
The capacitance, C = X/(2πfXc)
∴ C = 1/(2πfXC)
= 1/(2π × 50 × 5.03)
= 3.16 × 10^-5 F
= 31.6 μF (approx)
Therefore, the required capacitance is 31.6 μF.
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A single phase 50 Hz motor takes 20 A at 0.75 power factor lagging from a 220 V sinusoidal supply. The capacitance required to be connected in parallel to raise the power factor to 0.9 lagging is ______ (in μF)Correct answer is between '86,87'. Can you explain this answer?
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A single phase 50 Hz motor takes 20 A at 0.75 power factor lagging from a 220 V sinusoidal supply. The capacitance required to be connected in parallel to raise the power factor to 0.9 lagging is ______ (in μF)Correct answer is between '86,87'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A single phase 50 Hz motor takes 20 A at 0.75 power factor lagging from a 220 V sinusoidal supply. The capacitance required to be connected in parallel to raise the power factor to 0.9 lagging is ______ (in μF)Correct answer is between '86,87'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A single phase 50 Hz motor takes 20 A at 0.75 power factor lagging from a 220 V sinusoidal supply. The capacitance required to be connected in parallel to raise the power factor to 0.9 lagging is ______ (in μF)Correct answer is between '86,87'. Can you explain this answer?.
A single phase 50 Hz motor takes 20 A at 0.75 power factor lagging from a 220 V sinusoidal supply. The capacitance required to be connected in parallel to raise the power factor to 0.9 lagging is ______ (in μF)Correct answer is between '86,87'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A single phase 50 Hz motor takes 20 A at 0.75 power factor lagging from a 220 V sinusoidal supply. The capacitance required to be connected in parallel to raise the power factor to 0.9 lagging is ______ (in μF)Correct answer is between '86,87'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A single phase 50 Hz motor takes 20 A at 0.75 power factor lagging from a 220 V sinusoidal supply. The capacitance required to be connected in parallel to raise the power factor to 0.9 lagging is ______ (in μF)Correct answer is between '86,87'. Can you explain this answer?.
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