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Question

Physics Question on Magnetic Field

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 as medium inside the solenoid?

A

1.2 × 10–5

B

1.2 × 10–3

C

1.8 × 10–3

D

2.4 × 10–5

Answer

1.2 × 10–5

Explanation

Solution

The correct answer is (A) : 1.2 × 10–5
B=μ0(1+X)ni\stackrel{→}{B^′}=μ_0(1+X)ni in the material
B=μ0ni\stackrel{→}{B}=μ_0ni without material
So fractional increase is
BBB=X=1.2×105\frac{B^′−B}{B}=X=1.2×10^{−5}