Two very long, straight, and insulated wires are kept at `90^(@)` angle from each other in xy-plane as shown in the figure. These wires carry currents of equal magnitude I, whose directions are shown in the figure. The net magnetic field at point will be:

Options

A. `(+mu_(0)I)/(pid)(hatz)`
B. zero
C. `(mu_(0)I)/(2pid)(hatx+haty)`
D. `-(mu_(0)I)/(2pid)(hatx+haty)`

Answer

B

Explanation

`vecB=(mu_(0))/(2pi) I/d(hatk)+(mu_(0))/(2pi)I/d(-hatk), vecB=0`