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The hysteresis and eddy current loss of 1-phase transformer working on 200 V, 50 Hz supply are Ph and Pe, respectively. The percentage decrease in these losses when operated on 160 V, 40 Hz supply would respectively be (a) 32, 36 (b) 20, 36 (c) 25, 50 (d) 40, 80?
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The hysteresis and eddy current loss of 1-phase transformer working on...
Solution:

Given data:

Voltage (V1) = 200 V
Frequency (f1) = 50 Hz
Hysteresis loss (Ph) = ?
Eddy current loss (Pe) = ?

New data:

Voltage (V2) = 160 V
Frequency (f2) = 40 Hz
Hysteresis loss (Ph2) = ?
Eddy current loss (Pe2) = ?

We know that,

Ph ∝ V1^α f1^β
Pe ∝ V1^α f1^β

where α and β are constants

Therefore,

Ph2/Ph = (V2/V1)^α (f2/f1)^β
Pe2/Pe = (V2/V1)^α (f2/f1)^β

Now, we need to find the value of α and β.

For hysteresis loss,

Ph ∝ V1^1.6 f1^1
Ph2/Ph = (V2/V1)^1.6 (f2/f1)^1
Ph2/Ph = (160/200)^1.6 (40/50)^1
Ph2/Ph = 0.64

Therefore, percentage decrease in hysteresis loss = (1 - Ph2/Ph) × 100%
= (1 - 0.64) × 100%
= 36%

For eddy current loss,

Pe ∝ V1^2 f1^1
Pe2/Pe = (V2/V1)^2 (f2/f1)^1
Pe2/Pe = (160/200)^2 (40/50)^1
Pe2/Pe = 0.64

Therefore, percentage decrease in eddy current loss = (1 - Pe2/Pe) × 100%
= (1 - 0.64) × 100%
= 36%

Hence, the correct option is (a) 32, 36.

Final Answer: Option (a) 32, 36.
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The hysteresis and eddy current loss of 1-phase transformer working on 200 V, 50 Hz supply are Ph and Pe, respectively. The percentage decrease in these losses when operated on 160 V, 40 Hz supply would respectively be (a) 32, 36 (b) 20, 36 (c) 25, 50 (d) 40, 80?
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The hysteresis and eddy current loss of 1-phase transformer working on 200 V, 50 Hz supply are Ph and Pe, respectively. The percentage decrease in these losses when operated on 160 V, 40 Hz supply would respectively be (a) 32, 36 (b) 20, 36 (c) 25, 50 (d) 40, 80? 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 The hysteresis and eddy current loss of 1-phase transformer working on 200 V, 50 Hz supply are Ph and Pe, respectively. The percentage decrease in these losses when operated on 160 V, 40 Hz supply would respectively be (a) 32, 36 (b) 20, 36 (c) 25, 50 (d) 40, 80? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The hysteresis and eddy current loss of 1-phase transformer working on 200 V, 50 Hz supply are Ph and Pe, respectively. The percentage decrease in these losses when operated on 160 V, 40 Hz supply would respectively be (a) 32, 36 (b) 20, 36 (c) 25, 50 (d) 40, 80?.
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