Question

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

• A. D
• B. B
• C. C
• D. A

Hint:

In a $\phi$–$I$ graph, the steeper the line, the larger the self-inductance.

Answer 1

The Correct Option is D

Step 1: Recall the relation of self-inductance.
Self-inductance $L$ is given by the relation:
\[ \phi = L I \] Thus, the slope of the $\phi$ versus $I$ graph represents the self-inductance.

Step 2: Analyze the given graph.
Among the four straight lines, inductor A has the steepest slope.
A steeper slope means a larger value of $L$.

Step 3: Conclusion.
Inductor A has the maximum self-inductance.