A long wire carrying current i is bent to form a right angle as shown in figure. Then magnetic induction at point P on the bisector of this angle at a distance r from the vertex is -

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TestHub · Accepted Answer

The magnetic field is the vector sum of fields from two semi-infinite wires.

$B = \frac{μ _{0} i}{4 π r} (sin 9 0^{\circ} + sin 4 5^{\circ}) + \frac{μ _{0} i}{4 π r} (sin 9 0^{\circ} + sin 4 5^{\circ}) = \frac{μ _{0} i}{2 π r} (1 + \frac{1}{2}) = \frac{μ _{0} i ( 1 + 2 )}{2 π r}$

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