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In a transformer core of volume 0.16m³ the total iron loss was found to be 2710 W at 50 Hz. The hysteresis loop of the core material, taken to the same maximum flux density has an area of 9 cm² when drawn to scales of 1 cm = 0.1 Wb/m² and 1 cm = 250 AT/m. Calculate the total iron loss of the transformer core if it is energized to the same maximum flux density but at a frequency of 60 Hz. (A) 2693 W (C) 533 W (B) 2160 W (D) None of these?
Most Upvoted Answer
In a transformer core of volume 0.16m³ the total iron loss was found t...


Given data:
- Volume of transformer core = 0.16 m³
- Total iron loss at 50 Hz = 2710 W
- Hysteresis loop area at maximum flux density = 9 cm²
- Scale for hysteresis loop: 1 cm = 0.1 Wb/m² and 1 cm = 250 AT/m

Calculations:

Step 1: Find the maximum flux density (Bmax) at 50 Hz
- Volume = Area x Height
- Area = 9 cm² = 9 x 10^-4 m²
- Height = Bmax x 2 (assuming symmetrical hysteresis loop)
- Volume = 9 x 10^-4 x Bmax x 2 = 0.16 m³
- Bmax = 0.16 / (9 x 10^-4 x 2) = 88.89 Wb/m²

Step 2: Calculate the total iron loss at 60 Hz
- Given frequency = 60 Hz
- Let the new total iron loss be P
- Since the hysteresis loop area is the same, the total iron loss is proportional to frequency
- P = 2710 * (60/50) = 3252 W

Therefore, the total iron loss of the transformer core when energized to the same maximum flux density but at a frequency of 60 Hz is 3252 W.

So, the correct answer is (D) None of these.
Community Answer
In a transformer core of volume 0.16m³ the total iron loss was found t...
Option D is correct one
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In a transformer core of volume 0.16m³ the total iron loss was found to be 2710 W at 50 Hz. The hysteresis loop of the core material, taken to the same maximum flux density has an area of 9 cm² when drawn to scales of 1 cm = 0.1 Wb/m² and 1 cm = 250 AT/m. Calculate the total iron loss of the transformer core if it is energized to the same maximum flux density but at a frequency of 60 Hz. (A) 2693 W (C) 533 W (B) 2160 W (D) None of these?
Question Description
In a transformer core of volume 0.16m³ the total iron loss was found to be 2710 W at 50 Hz. The hysteresis loop of the core material, taken to the same maximum flux density has an area of 9 cm² when drawn to scales of 1 cm = 0.1 Wb/m² and 1 cm = 250 AT/m. Calculate the total iron loss of the transformer core if it is energized to the same maximum flux density but at a frequency of 60 Hz. (A) 2693 W (C) 533 W (B) 2160 W (D) None of these? 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 In a transformer core of volume 0.16m³ the total iron loss was found to be 2710 W at 50 Hz. The hysteresis loop of the core material, taken to the same maximum flux density has an area of 9 cm² when drawn to scales of 1 cm = 0.1 Wb/m² and 1 cm = 250 AT/m. Calculate the total iron loss of the transformer core if it is energized to the same maximum flux density but at a frequency of 60 Hz. (A) 2693 W (C) 533 W (B) 2160 W (D) None of these? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a transformer core of volume 0.16m³ the total iron loss was found to be 2710 W at 50 Hz. The hysteresis loop of the core material, taken to the same maximum flux density has an area of 9 cm² when drawn to scales of 1 cm = 0.1 Wb/m² and 1 cm = 250 AT/m. Calculate the total iron loss of the transformer core if it is energized to the same maximum flux density but at a frequency of 60 Hz. (A) 2693 W (C) 533 W (B) 2160 W (D) None of these?.
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