Question:
A graph of magnetic flux (\( \phi \)) versus current (\( I \)) is shown for four inductors P, Q, R, S. The largest value of self-inductance is for inductor}
A graph of magnetic flux (\( \phi \)) versus current (\( I \)) is shown for four inductors P, Q, R, S. The largest value of self-inductance is for inductor}
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Slope of $\phi-I$ graph $= L$. Higher slope $\implies$ Higher Inductance.
Updated On: Apr 26, 2026
- R
- P
- Q
- S
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The Correct Option is B
Solution and Explanation
Step 1: Formula
Magnetic flux $\phi = L I$. Therefore, the self-inductance $L = \frac{\phi}{I}$.
Step 2: Interpretation of Graph
In a $\phi$ vs $I$ graph, the slope ($\frac{\text{vertical}}{\text{horizontal}}$) represents the self-inductance $L$.
Step 3: Conclusion
The line with the steepest slope (closest to the $\phi$ axis) has the largest value of $L$. Looking at the graph, line P has the maximum slope.
Final Answer: (B)
Magnetic flux $\phi = L I$. Therefore, the self-inductance $L = \frac{\phi}{I}$.
Step 2: Interpretation of Graph
In a $\phi$ vs $I$ graph, the slope ($\frac{\text{vertical}}{\text{horizontal}}$) represents the self-inductance $L$.
Step 3: Conclusion
The line with the steepest slope (closest to the $\phi$ axis) has the largest value of $L$. Looking at the graph, line P has the maximum slope.
Final Answer: (B)
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