GATE Exam > GATE Questions > Q. Common data for Question 1&2 A 10kVA, 1150...
Start Learning for Free
Q. Common data for Question 1&2 A 10kVA, 1150/115 V, two winding transformer has a full-load efficiency of 96% at 0.6 pf. The transformer is used as an 1150/1265 V auto-transformer. 1. Estimate the power output (in kw) of the auto-transformer at full load and unity pf. 2.Estimate the power transformed (in kw) by the auto-transformer at full load and unity pf.?
Most Upvoted Answer
Q. Common data for Question 1&2 A 10kVA, 1150/115 V, two winding trans...
1. Estimating Power Output of the Auto-Transformer
To find the power output of the auto-transformer at full load and unity power factor (pf), we consider the following:
- The transformer is rated at 10 kVA, which means it can handle 10 kW at unity pf.
- The efficiency of the transformer at full load is 96%.
Using the efficiency formula:
- Power Output = Power Input × Efficiency
The power input can be calculated as:
- Power Input = Power Output / Efficiency = 10 kW / 0.96 = 10.42 kW
Thus, the power output at full load and unity pf is:
- Power Output = 10 kW
2. Estimating Power Transformed by the Auto-Transformer
In an auto-transformer, the primary and secondary windings are connected in series, allowing for a higher voltage transformation with lower losses:
- The voltage transformation ratio can be calculated as:
- Transformation Ratio = V_out / V_in = 1265 V / 1150 V = 1.1
- The power transformed can be derived from the output power, taking into consideration the transformation ratio:
- Power Transformed = Power Output / Transformation Ratio
Calculating this gives:
- Power Transformed = 10 kW / 1.1 ≈ 9.09 kW
Thus, the power transformed by the auto-transformer at full load and unity pf is:
- Power Transformed ≈ 9.09 kW
Summary
- Power Output of Auto-Transformer at Full Load: 10 kW
- Power Transformed by Auto-Transformer at Full Load: 9.09 kW
This analysis highlights the advantages of using an auto-transformer, especially in terms of efficiency and power handling.
To find the power output of the auto-transformer at full load and unity power factor (pf), we consider the following:
- The transformer is rated at 10 kVA, which means it can handle 10 kW at unity pf.
- The efficiency of the transformer at full load is 96%.
Using the efficiency formula:
- Power Output = Power Input × Efficiency
The power input can be calculated as:
- Power Input = Power Output / Efficiency = 10 kW / 0.96 = 10.42 kW
Thus, the power output at full load and unity pf is:
- Power Output = 10 kW
2. Estimating Power Transformed by the Auto-Transformer
In an auto-transformer, the primary and secondary windings are connected in series, allowing for a higher voltage transformation with lower losses:
- The voltage transformation ratio can be calculated as:
- Transformation Ratio = V_out / V_in = 1265 V / 1150 V = 1.1
- The power transformed can be derived from the output power, taking into consideration the transformation ratio:
- Power Transformed = Power Output / Transformation Ratio
Calculating this gives:
- Power Transformed = 10 kW / 1.1 ≈ 9.09 kW
Thus, the power transformed by the auto-transformer at full load and unity pf is:
- Power Transformed ≈ 9.09 kW
Summary
- Power Output of Auto-Transformer at Full Load: 10 kW
- Power Transformed by Auto-Transformer at Full Load: 9.09 kW
This analysis highlights the advantages of using an auto-transformer, especially in terms of efficiency and power handling.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
Q. Common data for Question 1&2 A 10kVA, 1150/115 V, two winding transformer has a full-load efficiency of 96% at 0.6 pf. The transformer is used as an 1150/1265 V auto-transformer. 1. Estimate the power output (in kw) of the auto-transformer at full load and unity pf. 2.Estimate the power transformed (in kw) by the auto-transformer at full load and unity pf.?
Question Description
Q. Common data for Question 1&2 A 10kVA, 1150/115 V, two winding transformer has a full-load efficiency of 96% at 0.6 pf. The transformer is used as an 1150/1265 V auto-transformer. 1. Estimate the power output (in kw) of the auto-transformer at full load and unity pf. 2.Estimate the power transformed (in kw) by the auto-transformer at full load and unity pf.? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Q. Common data for Question 1&2 A 10kVA, 1150/115 V, two winding transformer has a full-load efficiency of 96% at 0.6 pf. The transformer is used as an 1150/1265 V auto-transformer. 1. Estimate the power output (in kw) of the auto-transformer at full load and unity pf. 2.Estimate the power transformed (in kw) by the auto-transformer at full load and unity pf.? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q. Common data for Question 1&2 A 10kVA, 1150/115 V, two winding transformer has a full-load efficiency of 96% at 0.6 pf. The transformer is used as an 1150/1265 V auto-transformer. 1. Estimate the power output (in kw) of the auto-transformer at full load and unity pf. 2.Estimate the power transformed (in kw) by the auto-transformer at full load and unity pf.?.
Q. Common data for Question 1&2 A 10kVA, 1150/115 V, two winding transformer has a full-load efficiency of 96% at 0.6 pf. The transformer is used as an 1150/1265 V auto-transformer. 1. Estimate the power output (in kw) of the auto-transformer at full load and unity pf. 2.Estimate the power transformed (in kw) by the auto-transformer at full load and unity pf.? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Q. Common data for Question 1&2 A 10kVA, 1150/115 V, two winding transformer has a full-load efficiency of 96% at 0.6 pf. The transformer is used as an 1150/1265 V auto-transformer. 1. Estimate the power output (in kw) of the auto-transformer at full load and unity pf. 2.Estimate the power transformed (in kw) by the auto-transformer at full load and unity pf.? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Q. Common data for Question 1&2 A 10kVA, 1150/115 V, two winding transformer has a full-load efficiency of 96% at 0.6 pf. The transformer is used as an 1150/1265 V auto-transformer. 1. Estimate the power output (in kw) of the auto-transformer at full load and unity pf. 2.Estimate the power transformed (in kw) by the auto-transformer at full load and unity pf.?.
Solutions for Q. Common data for Question 1&2 A 10kVA, 1150/115 V, two winding transformer has a full-load efficiency of 96% at 0.6 pf. The transformer is used as an 1150/1265 V auto-transformer. 1. Estimate the power output (in kw) of the auto-transformer at full load and unity pf. 2.Estimate the power transformed (in kw) by the auto-transformer at full load and unity pf.? 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 Q. Common data for Question 1&2 A 10kVA, 1150/115 V, two winding transformer has a full-load efficiency of 96% at 0.6 pf. The transformer is used as an 1150/1265 V auto-transformer. 1. Estimate the power output (in kw) of the auto-transformer at full load and unity pf. 2.Estimate the power transformed (in kw) by the auto-transformer at full load and unity pf.? defined & explained in the simplest way possible. Besides giving the explanation of
Q. Common data for Question 1&2 A 10kVA, 1150/115 V, two winding transformer has a full-load efficiency of 96% at 0.6 pf. The transformer is used as an 1150/1265 V auto-transformer. 1. Estimate the power output (in kw) of the auto-transformer at full load and unity pf. 2.Estimate the power transformed (in kw) by the auto-transformer at full load and unity pf.?, a detailed solution for Q. Common data for Question 1&2 A 10kVA, 1150/115 V, two winding transformer has a full-load efficiency of 96% at 0.6 pf. The transformer is used as an 1150/1265 V auto-transformer. 1. Estimate the power output (in kw) of the auto-transformer at full load and unity pf. 2.Estimate the power transformed (in kw) by the auto-transformer at full load and unity pf.? has been provided alongside types of Q. Common data for Question 1&2 A 10kVA, 1150/115 V, two winding transformer has a full-load efficiency of 96% at 0.6 pf. The transformer is used as an 1150/1265 V auto-transformer. 1. Estimate the power output (in kw) of the auto-transformer at full load and unity pf. 2.Estimate the power transformed (in kw) by the auto-transformer at full load and unity pf.? theory, EduRev gives you an
ample number of questions to practice Q. Common data for Question 1&2 A 10kVA, 1150/115 V, two winding transformer has a full-load efficiency of 96% at 0.6 pf. The transformer is used as an 1150/1265 V auto-transformer. 1. Estimate the power output (in kw) of the auto-transformer at full load and unity pf. 2.Estimate the power transformed (in kw) by the auto-transformer at full load and unity pf.? 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