Question

A wire carries an I1 = 7.55-A current along the x-axis, and another wire carries an I2 = 5.30-A current along the y-axis, as shown in the figure below. What is the magnetic field at point P, located at x = 4.00 m, y = 3.00 m? 

Answer 1

Given is:-

Now,

The current due to the long current carrying wire at a point is given by

thus

by plugging all the values we get

which gives us

and the direction is out of the page (by right hand rule)

Similarly

which gives us

and the direction is into the page

hence the net magnetic field at the given point is

or

which gives us

and the direction is