Find the magnitude of the current density J_3 in wire 3. The diameter of wire 3 is 1.5 millimeters.?

NetherCraft 0

Current is going into wire 1 and out of wire 2.

Wire 1 has a current density of 3 A/mm^2 and a diameter of 2 mm.

Wire 2 has a current density of 5 A/mm^2 and a diameter of 3 mm.

For part a I calculated the current in wire 3 to be -26 A.

Find the magnitude of the current density J_3 in wire 3. The diameter of wire 3 is 1.5 millimeters.

1 Answer

  • 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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