Two very long straight conducting wires are perpendicular to the x-y plane. At p

Question

Two very long straight conducting wires are perpendicular to the x-y plane. At point 'p', the magnetic field, shown in the figure below, is due to the currents in wires '1' and '2', with B=2.661e-4 T. Its components Bx=2.433e4 T and By=1.078e-4 T.

1) Indicate the direction of the currents in the wires (into or out of the page).

2) Calculate the magnitude of the current in wire 2.

3) Calculate the magnitude of the current in wire 1.

Please help if you can! I'm absolutely stumped, and need some step-by-step guidance.

Explanation / Answer

sol: suppose that as like this. so we get, The area of wire 3 is pi*(1.5 * 10^-3 mm)^2 /4 = 1.77 *10^-6 m^2 since the current is 26 A the current density J3 is 26 A/1.77 *10^-6 m^2 = 1.47 * 10^7 A/m^2 or 14.7 A/mm^2

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