Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > A 20 kVA, 2000/200 V, 1-f transformer has nam...
Start Learning for Free
A 20 kVA, 2000/200 V, 1-f transformer has name plate leakage impedance of 8%. Voltagerequired to be applied on the high voltage side to circulate full load current with the low voltagewinding short-circuited will be
- a)16 V
- b)56.56 V
- c)160 V
- d)568.68 V
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A 20 kVA, 2000/200 V, 1-f transformer has name plate leakage impedance...
Most Upvoted Answer
A 20 kVA, 2000/200 V, 1-f transformer has name plate leakage impedance...
Solution:
Given, Transformer rating = 20 kVA
High voltage side rating = 2000 V
Low voltage side rating = 200 V
Leakage impedance = 8% of transformer rating
Let us calculate the leakage impedance of the transformer.
Leakage impedance = 8/100 * 20 kVA = 1.6 kΩ
Let us calculate the full load current on the low voltage side.
Full load current (I2) = Transformer rating / Low voltage side rating
= 20,000 / 200
= 100 A
Let us assume that the high voltage side voltage required to circulate full load current with the low voltage winding short-circuited is V.
Impedance of the transformer (Z) = V / I2
Let us calculate the equivalent circuit of the transformer.
Refer to the following equivalent circuit of the transformer.
[Transformer equivalent circuit](
Impedance of the transformer (Z) = R + jX
Where,
R = Resistance of the transformer
X = Reactance of the transformer
Reactance of the transformer (X) = Leakage impedance (8% of transformer rating)
X = 1.6 kΩ
Resistance of the transformer (R) = (High voltage side voltage / Full load current) - Leakage resistance
R = (V / 100) - 1.6 kΩ
Impedance of the transformer (Z) = (V / 100) - j1.6 kΩ
Magnitude of the impedance of the transformer (Z) = √(R² + X²)
Magnitude of the impedance of the transformer (Z) = √[((V / 100) - 1.6 kΩ)² + (1.6 kΩ)²]
Magnitude of the impedance of the transformer (Z) = √[(V² / 10000) - (3.2 V / 50) + 2.56 + 2.56]
Magnitude of the impedance of the transformer (Z) = √[(V² / 10000) - (3.2 V / 50) + 5.12]
Magnitude of the impedance of the transformer (Z) = √[(V² / 10000) - (64 V / 1000) + 5.12]
Magnitude of the impedance of the transformer (Z) = √[(V² / 10000) - (V / 15.625) + 5.12]
Let us calculate the voltage required to circulate full load current with the low voltage winding short-circuited.
Magnitude of the impedance of the transformer (Z) = High voltage side voltage / Full load current
√[(V² / 10000) - (V / 15.625) + 5.12] = 2000 / 100
√[(V² / 10000) - (V / 15.625) + 5.12] = 20
(V² / 10000) - (V / 15.625) + 5.12 =
Given, Transformer rating = 20 kVA
High voltage side rating = 2000 V
Low voltage side rating = 200 V
Leakage impedance = 8% of transformer rating
Let us calculate the leakage impedance of the transformer.
Leakage impedance = 8/100 * 20 kVA = 1.6 kΩ
Let us calculate the full load current on the low voltage side.
Full load current (I2) = Transformer rating / Low voltage side rating
= 20,000 / 200
= 100 A
Let us assume that the high voltage side voltage required to circulate full load current with the low voltage winding short-circuited is V.
Impedance of the transformer (Z) = V / I2
Let us calculate the equivalent circuit of the transformer.
Refer to the following equivalent circuit of the transformer.
[Transformer equivalent circuit](
https://www.edurev.in/studytube/transformer-equivalent-circuit/dc2cfd04-9124-4e4e-9a53-7c4d1eaf6f9d_t) https://www.edurev.in/studytube/transformer-equivalent-circuit/dc2cfd04-9124-4e4e-9a53-7c4d1eaf6f9d_t) |  |
Impedance of the transformer (Z) = R + jX
Where,
R = Resistance of the transformer
X = Reactance of the transformer
Reactance of the transformer (X) = Leakage impedance (8% of transformer rating)
X = 1.6 kΩ
Resistance of the transformer (R) = (High voltage side voltage / Full load current) - Leakage resistance
R = (V / 100) - 1.6 kΩ
Impedance of the transformer (Z) = (V / 100) - j1.6 kΩ
Magnitude of the impedance of the transformer (Z) = √(R² + X²)
Magnitude of the impedance of the transformer (Z) = √[((V / 100) - 1.6 kΩ)² + (1.6 kΩ)²]
Magnitude of the impedance of the transformer (Z) = √[(V² / 10000) - (3.2 V / 50) + 2.56 + 2.56]
Magnitude of the impedance of the transformer (Z) = √[(V² / 10000) - (3.2 V / 50) + 5.12]
Magnitude of the impedance of the transformer (Z) = √[(V² / 10000) - (64 V / 1000) + 5.12]
Magnitude of the impedance of the transformer (Z) = √[(V² / 10000) - (V / 15.625) + 5.12]
Let us calculate the voltage required to circulate full load current with the low voltage winding short-circuited.
Magnitude of the impedance of the transformer (Z) = High voltage side voltage / Full load current
√[(V² / 10000) - (V / 15.625) + 5.12] = 2000 / 100
√[(V² / 10000) - (V / 15.625) + 5.12] = 20
(V² / 10000) - (V / 15.625) + 5.12 =
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
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
A 20 kVA, 2000/200 V, 1-f transformer has name plate leakage impedance of 8%. Voltagerequired to be applied on the high voltage side to circulate full load current with the low voltagewinding short-circuited will bea)16 Vb)56.56 Vc)160 Vd)568.68 VCorrect answer is option 'C'. Can you explain this answer?
Question Description
A 20 kVA, 2000/200 V, 1-f transformer has name plate leakage impedance of 8%. Voltagerequired to be applied on the high voltage side to circulate full load current with the low voltagewinding short-circuited will bea)16 Vb)56.56 Vc)160 Vd)568.68 VCorrect answer is option 'C'. 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 20 kVA, 2000/200 V, 1-f transformer has name plate leakage impedance of 8%. Voltagerequired to be applied on the high voltage side to circulate full load current with the low voltagewinding short-circuited will bea)16 Vb)56.56 Vc)160 Vd)568.68 VCorrect answer is option 'C'. 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 20 kVA, 2000/200 V, 1-f transformer has name plate leakage impedance of 8%. Voltagerequired to be applied on the high voltage side to circulate full load current with the low voltagewinding short-circuited will bea)16 Vb)56.56 Vc)160 Vd)568.68 VCorrect answer is option 'C'. Can you explain this answer?.
A 20 kVA, 2000/200 V, 1-f transformer has name plate leakage impedance of 8%. Voltagerequired to be applied on the high voltage side to circulate full load current with the low voltagewinding short-circuited will bea)16 Vb)56.56 Vc)160 Vd)568.68 VCorrect answer is option 'C'. 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 20 kVA, 2000/200 V, 1-f transformer has name plate leakage impedance of 8%. Voltagerequired to be applied on the high voltage side to circulate full load current with the low voltagewinding short-circuited will bea)16 Vb)56.56 Vc)160 Vd)568.68 VCorrect answer is option 'C'. 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 20 kVA, 2000/200 V, 1-f transformer has name plate leakage impedance of 8%. Voltagerequired to be applied on the high voltage side to circulate full load current with the low voltagewinding short-circuited will bea)16 Vb)56.56 Vc)160 Vd)568.68 VCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A 20 kVA, 2000/200 V, 1-f transformer has name plate leakage impedance of 8%. Voltagerequired to be applied on the high voltage side to circulate full load current with the low voltagewinding short-circuited will bea)16 Vb)56.56 Vc)160 Vd)568.68 VCorrect answer is option 'C'. 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 20 kVA, 2000/200 V, 1-f transformer has name plate leakage impedance of 8%. Voltagerequired to be applied on the high voltage side to circulate full load current with the low voltagewinding short-circuited will bea)16 Vb)56.56 Vc)160 Vd)568.68 VCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A 20 kVA, 2000/200 V, 1-f transformer has name plate leakage impedance of 8%. Voltagerequired to be applied on the high voltage side to circulate full load current with the low voltagewinding short-circuited will bea)16 Vb)56.56 Vc)160 Vd)568.68 VCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A 20 kVA, 2000/200 V, 1-f transformer has name plate leakage impedance of 8%. Voltagerequired to be applied on the high voltage side to circulate full load current with the low voltagewinding short-circuited will bea)16 Vb)56.56 Vc)160 Vd)568.68 VCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A 20 kVA, 2000/200 V, 1-f transformer has name plate leakage impedance of 8%. Voltagerequired to be applied on the high voltage side to circulate full load current with the low voltagewinding short-circuited will bea)16 Vb)56.56 Vc)160 Vd)568.68 VCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A 20 kVA, 2000/200 V, 1-f transformer has name plate leakage impedance of 8%. Voltagerequired to be applied on the high voltage side to circulate full load current with the low voltagewinding short-circuited will bea)16 Vb)56.56 Vc)160 Vd)568.68 VCorrect answer is option 'C'. 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup