Question

The plot of magnetic flux $\phi$ versus current I is shown for two inductors $L_{1}$ and $L_{2}$. The self inductance of}

• A. $L_{1}$ is equal to that of $L_{2}.$
• B. $L_{1}$ is less than that of $L_{2}$.
• C. $L_{1}$ is greater than that of $L_{2}$
• D. $L_{1}$ is half that of $L_{2}$.

Hint:

Steeper slope on a $\phi-I$ graph means higher self-inductance.

Answer 1

The Correct Option is C

Step 1: Formula
Self inductance $L = \phi/I$.

Step 2: Analysis
In a graph of $\phi$ vs $I$, the slope $\phi/I$ represents the inductance $L$.

Step 3: Calculation
Slope of $L_1$ is greater than the slope of $L_2$ (it is steeper).

Step 4: Conclusion
Hence, $L_1 > L_2$. Final Answer: (C)