contestada

Each of two long straight parallel wires separated by a distance of 16 cm carries a current of 20 A in the same direction. What is the magnitude of the resulting magnetic field at a point that is 10 cm from each wire?

Respuesta :

Answer:

B = 6.6825 ×[tex]10^{-5}[/tex] T

Explanation:

Given that: I = 20 A, distance between the wires = 16 cm = 0.16 m, magnetic field at a point 10 cm (0.10 m) from each wire can be determined by;

The magnetic flux density (B) in a straight current carrying wire, is given as;

         B = [tex]\frac{U_{0}I }{2\pi r}[/tex]

Where: [tex]U_{0}[/tex] is the permeability of free space = 1.26×[tex]10^{-6}[/tex] m kg/[tex]s^{2}[/tex][tex]A^{-2}[/tex], I is the current through the wires, r is the distance between the wires.

      B = ( 1.26×[tex]10^{-6}[/tex] × 20) ÷ (2× [tex]\frac{22}{7}[/tex] × (0.16 - 0.10))

         = 25.2 × [tex]10^{-6}[/tex]  ÷ 0.3771

      B  = 6.6825 ×[tex]10^{-5}[/tex] T