Question

If \(N\) is the number of turns in a circular coil, the value of its self-inductance varies as

• A. \(N^3\)
• B. \(N^2\)
• C. \(N^0\)
• D. \(N^1\)

Hint:

Self-inductance of a coil always varies as the square of the number of turns.

Answer 1

The Correct Option is B

Step 1: Definition of self-inductance.
Self-inductance is defined as \[ L = \frac{N\phi}{I} \]

Step 2: Dependence on number of turns.
Magnetic flux \(\phi\) linked with each turn is directly proportional to current \(I\) and number of turns \(N\).

Step 3: Relation.
\[ L \propto N \times N = N^2 \]