Question

A wooden ring whose mean diameter is 15.0 cm is wound with a closely spaced toroidal winding of 555 turns. Compute the magnitude of the magnetic field at the center of the cross section of the windings when the current in the windings is 0.670 A.

Answer 1

Answer:

9.916\times 10^{-4}T

Explanation:

Diameter of toroid is 15 cm =0.15 m

So length of the toroid is $l=\pi d=3.14\times 0.15=0.471\ m$

Number of turns of the toriod is given as 555

Current through the toroid is 0.670 A

Magnetic field $B=\mu _0ni=\mu _0\frac{N}{L}i=4\pi \times 10^{-7}\times \frac{555}{0.471}\times 0.670=9.916\times 10^{-4}T$