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A 50 Hz, single phase transformer draws a short circuit current of 30 A at 0.2 power factor lag when connected to 16V, 50 Hz source. The short circuit current when the same transformer is energized from 16V, 25 Hz source is____ (in A)
Correct answer is between '56,57'. Can you explain this answer?
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Verified Answer
A 50 Hz, single phase transformer draws a short circuit current of 30 ...
At 25 Hz, xe = 0.2615Ω, re = 0.1067Ω
⇒ ze = 0.2822Ω
Most Upvoted Answer
A 50 Hz, single phase transformer draws a short circuit current of 30 ...
Solution:
Given data:
Frequency of the source, f = 50 Hz
Voltage of the source, V1 = V2 = 16 V
Short circuit current, I1 = 30 A
Power factor, cos Φ = 0.2 lagging
We need to find the short circuit current when the transformer is connected to a 25 Hz source.
Let's first find the impedance of the transformer.
Impedance of the transformer, Z = V1 / I1
= 16 / 30
= 0.533 Ω
Now, let's find the current drawn by the transformer when connected to a 50 Hz source.
Current, I = V1 / Z
= 16 / 0.533
= 30 A
Since the power factor is lagging, we need to find the reactive component of the current.
Reactive component, Q = P tan Φ
= V1 I1 sin Φ
= 16 × 30 × sin (cos⁻¹ 0.2)
= 89.6 VAR
The total current drawn by the transformer can be found using the apparent power formula.
Apparent power, S = V1 I1
= 16 × 30
= 480 VA
Now, let's find the short circuit current when the transformer is connected to a 25 Hz source.
Impedance of the transformer, Z' = Z (f' / f)
= 0.533 (25 / 50)
= 0.2665 Ω
Current, I' = V1 / Z'
= 16 / 0.2665
= 59.96 A
The short circuit current when the same transformer is energized from 16V, 25 Hz source is 56-57 A (approx).
Therefore, the short circuit current when the same transformer is energized from a 16V, 25 Hz source is between 56-57 A.
Given data:
Frequency of the source, f = 50 Hz
Voltage of the source, V1 = V2 = 16 V
Short circuit current, I1 = 30 A
Power factor, cos Φ = 0.2 lagging
We need to find the short circuit current when the transformer is connected to a 25 Hz source.
Let's first find the impedance of the transformer.
Impedance of the transformer, Z = V1 / I1
= 16 / 30
= 0.533 Ω
Now, let's find the current drawn by the transformer when connected to a 50 Hz source.
Current, I = V1 / Z
= 16 / 0.533
= 30 A
Since the power factor is lagging, we need to find the reactive component of the current.
Reactive component, Q = P tan Φ
= V1 I1 sin Φ
= 16 × 30 × sin (cos⁻¹ 0.2)
= 89.6 VAR
The total current drawn by the transformer can be found using the apparent power formula.
Apparent power, S = V1 I1
= 16 × 30
= 480 VA
Now, let's find the short circuit current when the transformer is connected to a 25 Hz source.
Impedance of the transformer, Z' = Z (f' / f)
= 0.533 (25 / 50)
= 0.2665 Ω
Current, I' = V1 / Z'
= 16 / 0.2665
= 59.96 A
The short circuit current when the same transformer is energized from 16V, 25 Hz source is 56-57 A (approx).
Therefore, the short circuit current when the same transformer is energized from a 16V, 25 Hz source is between 56-57 A.
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A 50 Hz, single phase transformer draws a short circuit current of 30 A at 0.2 power factor lag when connected to 16V, 50 Hz source. The short circuit current when the same transformer is energized from 16V, 25 Hz source is____ (in A)Correct answer is between '56,57'. Can you explain this answer?
Question Description
A 50 Hz, single phase transformer draws a short circuit current of 30 A at 0.2 power factor lag when connected to 16V, 50 Hz source. The short circuit current when the same transformer is energized from 16V, 25 Hz source is____ (in A)Correct answer is between '56,57'. 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 50 Hz, single phase transformer draws a short circuit current of 30 A at 0.2 power factor lag when connected to 16V, 50 Hz source. The short circuit current when the same transformer is energized from 16V, 25 Hz source is____ (in A)Correct answer is between '56,57'. 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 50 Hz, single phase transformer draws a short circuit current of 30 A at 0.2 power factor lag when connected to 16V, 50 Hz source. The short circuit current when the same transformer is energized from 16V, 25 Hz source is____ (in A)Correct answer is between '56,57'. Can you explain this answer?.
A 50 Hz, single phase transformer draws a short circuit current of 30 A at 0.2 power factor lag when connected to 16V, 50 Hz source. The short circuit current when the same transformer is energized from 16V, 25 Hz source is____ (in A)Correct answer is between '56,57'. 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 50 Hz, single phase transformer draws a short circuit current of 30 A at 0.2 power factor lag when connected to 16V, 50 Hz source. The short circuit current when the same transformer is energized from 16V, 25 Hz source is____ (in A)Correct answer is between '56,57'. 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 50 Hz, single phase transformer draws a short circuit current of 30 A at 0.2 power factor lag when connected to 16V, 50 Hz source. The short circuit current when the same transformer is energized from 16V, 25 Hz source is____ (in A)Correct answer is between '56,57'. Can you explain this answer?.
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