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two long, straight parallel wires carry currents in the positive y direction. wire 1 is at x=0 and carries a 20A current. wire 2 is at x=20cm and caries a 8A current. at what value of x in the plane of the wires is the magnetic field zero, in cm?

Respuesta :

Answer:

at x = 14.3 cm net magnetic field would be ZERO

Explanation:

At the position where net magnetic field would be zero

we will say that

[tex]B_1 = B_2[/tex]

here we know that

[tex]B_1 = \frac{\mu_0 i_1}{2\pi r}[/tex]

and due to another wire we have

[tex]B_2 = \frac{\mu_0 i_2}{2\pi (20 - r)}[/tex]

so here we have

[tex]B_1 = B_2[/tex]

[tex]\frac{\mu_0 i_1}{2\pi r} = \frac{\mu_0 i_2}{2\pi (20 - r)}[/tex]

[tex]\frac{20}{r} = \frac{8}{20 - r}[/tex]

[tex]5(20 - r) = 2r[/tex]

[tex]7 r = 100[/tex]

[tex]r = 14.3 cm[/tex]

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