A single-phase transformer has 500 turns on the primary and 100 turns on the secondary. The mean length of the flux path in the core is 2.0 m and the joints are equivalent to an air-gap of 0.1 mm. The value of the magnetic field strength for 1.21 T in the core is 400 A/m, the corresponding core loss is 1.8 Watts/kg at 50 Hz and the density of the core is 7850 kg/m3. The cross-sectional area of the core is 0.0187 m2. If the maximum value of the flux density is to be 1.21 T when the nominal rated voltage is

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.13P: A single-phase 50-kVA,2400/240-volt,60-Hz distribution transformer has a 1-ohm equivalent leakage...
icon
Related questions
Question

A single-phase transformer has 500 turns on the primary and 100 turns on the secondary. The mean length of the flux path in the core is 2.0 m and the joints are equivalent to an air-gap of 0.1 mm. The value of the magnetic field strength for 1.21 T in the core is 400 A/m, the corresponding core loss is 1.8 Watts/kg at 50 Hz and the density of the core is 7850 kg/m3. The cross-sectional area of the core is 0.0187 m2. If the maximum value of the flux density is to be 1.21 T when the nominal rated voltage is applied at 50Hz, calculate the magnitude of the primary current, in amperes, if a load current of 135 A is being supplied at a lagging power-factor of 0.85.   Neglect the leakage impedances in the transformer windings.

Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Three Phase Transformer
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Power System Analysis and Design (MindTap Course …
Power System Analysis and Design (MindTap Course …
Electrical Engineering
ISBN:
9781305632134
Author:
J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:
Cengage Learning
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Electric Motor Control
Electric Motor Control
Electrical Engineering
ISBN:
9781133702818
Author:
Herman
Publisher:
CENGAGE L
Electricity for Refrigeration, Heating, and Air C…
Electricity for Refrigeration, Heating, and Air C…
Mechanical Engineering
ISBN:
9781337399128
Author:
Russell E. Smith
Publisher:
Cengage Learning