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A 400/200V, 50Hz transformer operates at a flux density of 1.2T when energized from its H.V side for this transformer linear dimensions of core are doubled while the number of turns are halved on both its H.V and L.V sides . if this transformer is now connected to 800V, 50Hz on its H.V side, then its flux density would be?
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A 400/200V, 50Hz transformer operates at a flux density of 1.2T when e...
Given Information:


  • Transformer rating: 400/200V, 50Hz

  • Flux density (B) = 1.2T

  • Linear dimensions of core doubled

  • Number of turns halved on both H.V and L.V sides



Calculations:

The voltage transformation ratio of the transformer is:

Voltage Transformation Ratio (K) = VH/VL = 400/200 = 2


The turns ratio of the transformer is:

Turns Ratio (N) = VH/VL = 2


The flux density in the core is given by:

B = (4.44 * f * Φ)/A

Where,


  • f = frequency = 50Hz

  • Φ = flux = B * A = 1.2T * A

  • A = area of the core



When the linear dimensions of the core are doubled and the number of turns are halved, the area of the core becomes 4 times the original value and the flux becomes half the original value. Hence, the new flux density is:


Bnew = (4.44 * f * Φnew)/Anew

Where,


  • Φnew = Φ/2 = 0.6T * A

  • Anew = 4A



Substituting the values, we get:

Bnew = (4.44 * 50 * 0.6T * A)/(4A) = 1.11T


Therefore, the new flux density in the core is 1.11T.
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A 400/200V, 50Hz transformer operates at a flux density of 1.2T when energized from its H.V side for this transformer linear dimensions of core are doubled while the number of turns are halved on both its H.V and L.V sides . if this transformer is now connected to 800V, 50Hz on its H.V side, then its flux density would be?
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A 400/200V, 50Hz transformer operates at a flux density of 1.2T when energized from its H.V side for this transformer linear dimensions of core are doubled while the number of turns are halved on both its H.V and L.V sides . if this transformer is now connected to 800V, 50Hz on its H.V side, then its flux density would be? 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 400/200V, 50Hz transformer operates at a flux density of 1.2T when energized from its H.V side for this transformer linear dimensions of core are doubled while the number of turns are halved on both its H.V and L.V sides . if this transformer is now connected to 800V, 50Hz on its H.V side, then its flux density would be? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 400/200V, 50Hz transformer operates at a flux density of 1.2T when energized from its H.V side for this transformer linear dimensions of core are doubled while the number of turns are halved on both its H.V and L.V sides . if this transformer is now connected to 800V, 50Hz on its H.V side, then its flux density would be?.
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