The drawing shows two perpendicular, long, straight wires, both of which lie in

Question

The drawing shows two perpendicular, long, straight wires, both of which lie in the plane of the paper. The current in each of the wires is I = 4.1 A. In the drawing dH = 0.24 m and dV = 0.35 m. Find the magnitudes of the net magnetic fields at points A and B.

The drawing shows two perpendicular, long, straight wires, both of which lie in the plane of the paper. The current in each of the wires is I = 4.1 A. In the drawing dH = 0.24 m and dV = 0.35 m. Find the magnitudes of the net magnetic fields at points A and B.

Explanation / Answer

Given that the current in theeach wire is I = 4.1 A
The distance is dH= 0.24m and dV=0.35 m
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(B) From right hand rule the magnetic field due to verticalwire at point B is out of the page and dueto horizontal wire
magnetic field is directed into thepage
magnetic field due tovertical wire at point B = uo*I /(2pi*dV) (out of the page)

magnetic field due tohorizontal wire at point B = uo*I /(2pi*dH) ( into the page )

So the net magnetic field is B = uo*I /(2pi*dH) - uo*I /(2pi*dV)

B = u0I/2pi [ 1/dH - 1/dv]

= 10.73*10^-7 T ( into the page)

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