Question

The region inside a current carrying toroid is filled with a material (Niobium) having susceptibility \(χ = 2.6\times 10^{-5}\). The percentage increase in the magnetic field in the presence of Niobium over that without it, is

• A. \(2.6\times 10^{-5}\)
• B. \(2.6\times 10^{-4}\)
• C. \(2.6\times 10^{-3}\)
• D. \(2.6\times 10^2\)

Hint:

The field with a material is B = mu0 (1 + chi) n I.

Answer 1

The Correct Option is C

Step 1: Relative permeability:
$\mu_r = 1 + \chi = 1.000026$.

Step 2: Percentage:
The field rises by $0.000026$ of its original value, which is $0.0026\% = 2.6 \times 10^{-3}\%$.

Final Answer:
The percentage increase is $2.6 \times 10^{-3}$, option (C). \[ \boxed{2.6 \times 10^{-3}} \]