The space inside a straight current carrying solenoid is filled w… - Vidyadip

MCQ

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?

✓
$1.2 \times 10^{-5}$
B
$1.2 \times 10^{-3}$
C
$1.8 \times 10^{-3}$
D
$2.4 \times 10^{-5}$

✓

Answer

Correct option: A.

$1.2 \times 10^{-5}$

a
$\chi=1.2 \times 10^{-5}$

$\mu_{ r }=1+\chi=1+1.2 \times 10^{-5}$

Fractional Change

$=\frac{\Delta B }{ B }=\frac{\mu_{0} \mu_{ I } ni -\mu_{0} ni }{\mu_{0} ni }=\left(\mu_{ r }-1\right)$

$=1.2 \times 10^{-5}$

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