Previous Year Question
Correct answer: D
Explanation
D — High permeability. A high-permeability core provides a low-reluctance path and establishes the required flux with comparatively little magnetizing current.
Formula
Step-by-step solution
Correct answer: D — High permeability
Permeability and the magnetic circuit
A transformer core carries alternating magnetic flux linking the primary and secondary windings. The core material should have high magnetic permeability, so it offers a relatively easy path for this flux. In a simplified magnetic-circuit model:
Here l is magnetic-path length, μ is permeability, A is core cross-sectional area and NI is magnetomotive force. Increasing μ reduces reluctance. For a specified flux, less magnetomotive force is then needed, so the magnetizing component of current is lower.
Why this property matters in a transformer
Applied voltage and frequency largely determine the required alternating flux. High permeability allows that flux to be established without an unnecessarily large excitation current. Suitable electrical steel also has low hysteresis loss, while its silicon content increases electrical resistivity and thin insulated laminations restrict eddy currents.
Permeability should not be confused with retentivity, which describes the flux remaining after the magnetizing field is removed. Soft magnetic materials are often discussed using several related properties, but their remanence depends on the material and hysteresis loop. The supplied paper specifically keys high permeability. Near saturation, incremental permeability falls and excitation current rises sharply.
Other options
A high hysteresis loss is undesirable. B low silicon content is not the desired design direction because silicon is used to improve magnetic/electrical loss properties. C low retentivity can be a desirable soft-magnetic property, making it a plausible distractor rather than a clearly wrong statement. D is the source-keyed and strongest canonical choice.
Common mistake
Treating a single textbook property as the only desirable magnetic property of a transformer core.
Exam tip
Transformer core: high permeability + low hysteresis loss + high resistivity/low eddy-current loss.
Quick method
High μ → low magnetizing current.