Question

Write Ampere's Circuital Law. Write its expression also. On the basis of this law
find the expression for magnetic field inside a current carraying coil.​

Answer 1

According to Ampere's circuital law, the line integral of magnetic field induction along a closed curve is equal to the total current passing through the surface enclosed in the closed curve times the permeability of the medium.

∮B.dl=μoIenclosed

Applying ampere's law for the given toroid,

B(2πr)=μoNI

But, N=2πrn

B=μonI

The magnetic field strength at the center of a circular loop is given by B=μ0I2R(at center of loop), where R is the radius of the loop. RHR-2 gives the direction of the field about the loop.

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