The space inside| Electric Charges and Field

JEE MAIN 2022

28-06-22

Question

The space inside a straight current carrying solenoid is filled with a magnetic material having magnetic susceptibility equal to $1.2 \times 10^{-5}$. What is fractional increase in the magnetic field inside solenoid with respect to air as medium inside the solenoid?

Select the correct option:

$1.2 \times 10^{-5}$

$1.2 \times 10^{-3}$

$1.8 \times 10^{-3}$

$2.4 \times 10^{-5}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$$ \begin{aligned} & \begin{array}{l} \chi=1.2 \times 10^{-5} \\ \quad \mu_r=1+\chi=1+1.2 \times 10^{-5} \end{array} \end{aligned} $$ Fractional Change $$ \begin{aligned} & =\frac{\Delta \mathrm{B}}{\mathrm{~B}}=\frac{\mu_0 \mu_{\mathrm{r}} \mathrm{ni}-\mu_0 \mathrm{ni}}{\mu_0 \mathrm{ni}}=\left(\mu_{\mathrm{r}}-1\right) \\ & =1.2 \times 10^{-5} \end{aligned} $$

Question Tags

JEE Main

Physics

Easy

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