g Determine the magnetic field midway between two long straight wires 2.0 cm apart in terms of the current I in one when the other carries 25 A. Assume these currents are in the same direction.

Respuesta :

Answer:

[tex]B_{net}[/tex] =[tex](2\times 10^{-5}T/A).(I-25A)[/tex]

Explanation:

Given :

the distance between the two wires is  = 2 cm

                                                                  = 0.02 m

Current in one of the wire, I = 25 A

Now we know that, when the direction of the current is same that is in one direction , the magnetic field at the mid point in between the two wires will oppose each other.

Therefore we know that

[tex]B_{net}[/tex] = [tex]\frac{\mu _{o}\times I_{1}}{2\pi r_{1}}-\frac{\mu _{o}\times I_{2}}{2\pi r_{2}}[/tex]

                            =[tex]\frac{(4\pi \times 10^{-7}T.m/A)}{2\pi (1\times 10^{-2}m)}\times (I-25A)[/tex]

                            = [tex](2\times 10^{-5}T/A).(I-25A)[/tex]

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