Question

A plot of magnetic flux $\left(\varphi \right)$ versus current $I$ is shown below. Which of the following statement is correct?

• A. Self inductance of $\text{A}>$ self inductance of $\text{B}$.
• B. Self inductance of $\text{B}>$ self inductance of $\text{A}$.
• C. Bothe $\text{A}$ and $\text{B}$ have same self inductance.
• D. None of the above.

Answer 1

The correct option is A Self inductance of $\text{A}>$ self inductance of $\text{B}$.

We know that,

$\varphi =Li$

$\Rightarrow L=\frac{\varphi }{i}$

Slope of $\varphi$ versus $i$ graph gives $L$.


${\theta }_A>{\theta }_B\Rightarrow \tan {\theta }_A>\tan {\theta }_B$

So, Slope of $\text{A}>$Slope of $\text{B}$

$\therefore L_A>L_B$

Hence, $\left(\text{A}\right)$ is the correct answer.