Question

The percentage increase in magnetic field \(B\) when the space within a current-carrying toroid is filled with aluminium is: (Susceptibility of aluminium \(\chi = 2.4 \times 10^{-5}\)):

• A. \(0.0024\%\)
• B. \(0.024\%\)
• C. \(2.4\%\)
• D. \(24\%\)

Hint:

Magnetic susceptibility χ quantifies how a material enhances the magnetic field. Multiply χ by 100 to calculate the percentage increase.

Answer 1

The Correct Option is C

The percentage increase in $B$ due to the core material is proportional to the susceptibility $\chi$:
\[\text{Percentage Increase} = \chi \times 100\]
Given $\chi = 2.4 \times 10^{-5}$:
\[\text{Percentage Increase} = 2.4 \times 10^{-5} \times 100 = 2.4\%\]