Question

A graph of magnetic flux $\phi$ versus current $(I)$ is shown for four inductors A, B, C, D. Smaller value of self inductance is for inductor

• A. A
• B. C
• C. B
• D. D

Hint:

In $\phi$–$I$ graphs, steeper line means larger self inductance.

Answer 1

The Correct Option is D

Step 1: Relation between magnetic flux and current.
Self inductance $L$ is defined as:
\[ \phi = LI \] Thus, slope of the $\phi$ vs $I$ graph gives the value of self inductance.

Step 2: Comparing slopes of given graphs.
From the graph, line A has the maximum slope, followed by B, then C, and D has the minimum slope.

Step 3: Conclusion.
Since self inductance is directly proportional to slope, the smallest self inductance corresponds to the smallest slope, i.e. inductor D.