MCQ
A coil is wound as a transformer of rectangular cross-section. If all the linear dimensions of the transformer are increased by a factor $2$ and the number of turns per unit length of the coil remain the same, the self inductance increased by a factor of
  • A
    $16$
  • B
    $12$
  • $8$
  • D
    $4$

Answer

Correct option: C.
$8$
Self inductance $L=\mu_0 N^2 A / l=\mu_0 n^2 l A$ Where $n$ is the number of turns per unit length and $N$ is the total number of turns and $N=n l$ In the given question $n$ is same.
$A$ is increased $4$ times and $I$ is increased $2$ times and hence $L$ will be increased $8$ times.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free