Magnetic Effects Of Current Question 110

Question: The current in the windings on a toroid is 2.0A. There are 400 turns and the mean circumferential length is 40cm. If the inside magnetic field is 1.0T, the relative permeability is near to [AMU (Med.) 2002]

Options:

A) 100

B) 200

C) 300

D) 400

Show Answer

Answer:

Correct Answer: D

Solution:

$ B=\frac{{\mu_{0}}{\mu_{r}}Ni}{2\pi r}\Rightarrow 1=\frac{4\pi \times {{10}^{-7}}\times {\mu_{r}}\times 400\times 2}{0.4}\Rightarrow {\mu_{r}}=400 $