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The space inside a straight current carrying solenoid is filled with a magnetic material having magnetic susceptibility equal to 1.2 × 10⁻⁵. What is fractional increase in the magnetic field inside solenoid with respect to air medium inside the solenoid?

1. 1.2 × 10⁻⁵
2. 1.2 × 10⁻³
3. 1.8 × 10⁻³
4. 2.4 × 10⁻⁵

Correct answer: 1.2 × 10⁻⁵

Solution

The fractional increase in the magnetic field inside the solenoid is directly related to the magnetic susceptibility of the material. Since the susceptibility is given as 1.2 × 10⁻⁵, this value represents the ratio of the increase in magnetic field strength compared to the air medium, making option A the correct choice.

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