Question

The value of aluminium susceptibility is 2.2 × 10^-5. The percentage increase in the magnetic field if space within a current carrying toroid is filled with aluminium is  `"x"/10^4`. Then the value of x is ______.

Options

• 21

• 22

• 23

• 24

Answer 1

The value of aluminium susceptibility is 2.2 × 10^-5. The percentage increase in the magnetic field if space within a current carrying toroid is filled with aluminium is  `"x"/10^4`. Then the value of x is 22.

Explanation:

B = μ₀μ_rH = μ₀(1 + χ)H = B₀(1 + χ) [Hμ₀ = B₀] 

⇒ B - B₀ = B₀χ 

⇒ `("B"-"B"_0)/"B"_0` = χ

Percentage increase in magnetic field,

 `("B"-"B"_0)/"B"_0xx100` χ

= 100 × 2.2 × 10^-5 

= 2.2 × 10^-3

= `22/10^4`  

∴ value of x = 22.