JEE MAIN - Physics (2022 - 28th June Evening Shift - No. 12)
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
1.2 $$\times$$ 10$$-$$3
1.8 $$\times$$ 10$$-$$3
2.4 $$\times$$ 10$$-$$5
Explanation
$$\overrightarrow {B'} = {\mu _0}(1 + X)ni$$ (in the material)
$$\overrightarrow {B'} = {\mu _0}ni$$ (without material)
So fractional increase is
$${{B' - B} \over B} = X = 1.2 \times {10^{ - 5}}$$
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