Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > A 50 Hz, single phase transformer draws a sho...
Start Learning for Free
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?
| FREE This question is part of | Download PDF Attempt this Test |
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.
Attention Electrical Engineering (EE) Students!
To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Top Courses for Electrical Engineering (EE)View all
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?.
Solutions 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? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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 detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup