A very long wire carrying a current i is bent to form a plane at an angle α. Find the magnetic field B at a point P on the bisector of this angle situated at a distance x from the vertex A.

The wire ABC shown in figure forms an equilateral triangle. Find the magnetic field B at the centre O of the triangle assuming the wire to be uniform.

A wire of length ℓ is bent in the form of an equilateral triangle and carries an electric current i. (a) Find the magnetic field B at the centre.

(b) If the wire is bent in the form of a square, what would be the value of B at the centre?

Find the magnetic field B at the centre of a rectangular loop of length ℓ and width b, carrying a current i.

A polygon of n equal sides is formed by bending a current carrying wire to total length 2πr which carries a current i.

(a) Find the magnetic field B at the center of the n-sided polygon.

(b) By letting n → ∞, derive the expression for the induced magnetic field at the center of a circular current carrying wire.