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?

Question

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

Tardigrade Admin · Accepted Answer

chi=1.2 × 10-5 μ r =1+ chi=1+1.2 × 10-5 Fractional Change =(Δ B / B )=(μ0 μ r ni -μ0 ni /μ0 ni )=(μ r -1) =1.2 × 10-5

Q. The space inside a straight current carrying solenoid is filled with a magnetic material having magnetic susceptibility equal to $1.2 \times 1 0^{- 5}$ . What is fractional increase in the magnetic field inside solenoid with respect to air as medium inside the solenoid?

$1.2 \times 1 0^{- 5}$

$1.2 \times 1 0^{- 3}$

$1.8 \times 1 0^{- 3}$

$2.4 \times 1 0^{- 5}$

$χ = 1.2 \times 1 0^{- 5}$
$μ_{r} = 1 + χ = 1 + 1.2 \times 1 0^{- 5}$
Fractional Change
$= \frac{Δ B}{B} = \frac{μ _{0} μ _{r} ni - μ _{0} ni}{μ _{0} ni} = (μ_{r} - 1)$
$= 1.2 \times 1 0^{- 5}$

Q. 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?

1.2×10−5

1.2×10−3

1.8×10−3

2.4×10−5