GATE Exam > GATE Questions > Two transformers operating in parallel having...
Start Learning for Free
Two transformers operating in parallel having impedance of 6 % and 4 %. If the total load supplied by the combinations is 100 A, then the current supplied by 6 % impedance transformer _______ A.
Correct answer is '40'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Two transformers operating in parallel having impedance of 6 % and 4 %...
This question is based on load sharing
By using current division rule
However, if the impedance is in PU then their PU value should be converted on a common base to ensure that the ohmic ratio remain unchanged.
By using current division rule
However, if the impedance is in PU then their PU value should be converted on a common base to ensure that the ohmic ratio remain unchanged.
Most Upvoted Answer
Two transformers operating in parallel having impedance of 6 % and 4 %...
Given:
- Two transformers operating in parallel
- Impedance of the first transformer = 6%
- Impedance of the second transformer = 4%
- Total load supplied by the combination = 100 A
To Find:
- Current supplied by the 6% impedance transformer
Solution:
Step 1: Calculate the total impedance of the combination.
- Impedance of the first transformer = 6%
- Impedance of the second transformer = 4%
The total impedance in parallel combination can be calculated using the formula:
1/Z_total = 1/Z1 + 1/Z2
Where Z_total is the total impedance and Z1, Z2 are the impedances of the individual transformers.
Substituting the given values:
1/Z_total = 1/6% + 1/4%
Now, convert the percentages to fractions:
1/Z_total = 1/0.06 + 1/0.04
Simplifying the equation:
1/Z_total = 16.67 + 25
1/Z_total = 41.67
Z_total = 1/41.67 = 0.024 Ω (approximately)
Step 2: Calculate the current supplied by the 6% impedance transformer.
Using the formula:
I1 = (V_total) / (Z_total)
Where I1 is the current supplied by the 6% impedance transformer and V_total is the total voltage supplied by the combination.
Since the total load supplied by the combination is 100 A, the total current (I_total) can be expressed as:
I_total = I1 + I2
Where I2 is the current supplied by the 4% impedance transformer.
Given that the total load supplied by the combination is 100 A, we can write:
100 A = I1 + I2
Substituting the values:
100 A = I1 + (100 A - I1)
Simplifying the equation:
100 A = 100 A
Therefore, the current supplied by the 6% impedance transformer (I1) is 40 A.
- Two transformers operating in parallel
- Impedance of the first transformer = 6%
- Impedance of the second transformer = 4%
- Total load supplied by the combination = 100 A
To Find:
- Current supplied by the 6% impedance transformer
Solution:
Step 1: Calculate the total impedance of the combination.
- Impedance of the first transformer = 6%
- Impedance of the second transformer = 4%
The total impedance in parallel combination can be calculated using the formula:
1/Z_total = 1/Z1 + 1/Z2
Where Z_total is the total impedance and Z1, Z2 are the impedances of the individual transformers.
Substituting the given values:
1/Z_total = 1/6% + 1/4%
Now, convert the percentages to fractions:
1/Z_total = 1/0.06 + 1/0.04
Simplifying the equation:
1/Z_total = 16.67 + 25
1/Z_total = 41.67
Z_total = 1/41.67 = 0.024 Ω (approximately)
Step 2: Calculate the current supplied by the 6% impedance transformer.
Using the formula:
I1 = (V_total) / (Z_total)
Where I1 is the current supplied by the 6% impedance transformer and V_total is the total voltage supplied by the combination.
Since the total load supplied by the combination is 100 A, the total current (I_total) can be expressed as:
I_total = I1 + I2
Where I2 is the current supplied by the 4% impedance transformer.
Given that the total load supplied by the combination is 100 A, we can write:
100 A = I1 + I2
Substituting the values:
100 A = I1 + (100 A - I1)
Simplifying the equation:
100 A = 100 A
Therefore, the current supplied by the 6% impedance transformer (I1) is 40 A.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
Two transformers operating in parallel having impedance of 6 % and 4 %. If the total load supplied by the combinations is 100 A, then the current supplied by 6 % impedance transformer _______ A.Correct answer is '40'. Can you explain this answer?
Question Description
Two transformers operating in parallel having impedance of 6 % and 4 %. If the total load supplied by the combinations is 100 A, then the current supplied by 6 % impedance transformer _______ A.Correct answer is '40'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Two transformers operating in parallel having impedance of 6 % and 4 %. If the total load supplied by the combinations is 100 A, then the current supplied by 6 % impedance transformer _______ A.Correct answer is '40'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two transformers operating in parallel having impedance of 6 % and 4 %. If the total load supplied by the combinations is 100 A, then the current supplied by 6 % impedance transformer _______ A.Correct answer is '40'. Can you explain this answer?.
Two transformers operating in parallel having impedance of 6 % and 4 %. If the total load supplied by the combinations is 100 A, then the current supplied by 6 % impedance transformer _______ A.Correct answer is '40'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Two transformers operating in parallel having impedance of 6 % and 4 %. If the total load supplied by the combinations is 100 A, then the current supplied by 6 % impedance transformer _______ A.Correct answer is '40'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two transformers operating in parallel having impedance of 6 % and 4 %. If the total load supplied by the combinations is 100 A, then the current supplied by 6 % impedance transformer _______ A.Correct answer is '40'. Can you explain this answer?.
Solutions for Two transformers operating in parallel having impedance of 6 % and 4 %. If the total load supplied by the combinations is 100 A, then the current supplied by 6 % impedance transformer _______ A.Correct answer is '40'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of Two transformers operating in parallel having impedance of 6 % and 4 %. If the total load supplied by the combinations is 100 A, then the current supplied by 6 % impedance transformer _______ A.Correct answer is '40'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two transformers operating in parallel having impedance of 6 % and 4 %. If the total load supplied by the combinations is 100 A, then the current supplied by 6 % impedance transformer _______ A.Correct answer is '40'. Can you explain this answer?, a detailed solution for Two transformers operating in parallel having impedance of 6 % and 4 %. If the total load supplied by the combinations is 100 A, then the current supplied by 6 % impedance transformer _______ A.Correct answer is '40'. Can you explain this answer? has been provided alongside types of Two transformers operating in parallel having impedance of 6 % and 4 %. If the total load supplied by the combinations is 100 A, then the current supplied by 6 % impedance transformer _______ A.Correct answer is '40'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two transformers operating in parallel having impedance of 6 % and 4 %. If the total load supplied by the combinations is 100 A, then the current supplied by 6 % impedance transformer _______ A.Correct answer is '40'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup