MHT CET 2024 Physics question
A coil is wound on a core of rectangular cross-section. If all the linear dimensions of the core are increased by a factor 2 and number of turns per unit length of coil remains same, the self inductance increases by a factor of (Assume, permeability is same)
Answer: (B)
Solution
The self-inductance of a coil (solenoid) of turns per unit length, cross-sectional area and length is . If every linear dimension is doubled, the cross-sectional area becomes (area scales as length squared) and the length becomes , while and
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