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PRACTICE / Biot-Savart law

Reject the false between-wire zero

Two long straight wires pass through x=0 and x=0.12 m, perpendicular to the xy plane. Their signed currents along z are +3 A and −12 A respectively.

Where on the x axis is the resultant magnetic field zero?

Organize the givens & assumptions
  • Wire 1: x=0, I_z=+3 A
  • Wire 2: x=0.12 m, I_z=−12 A

Ideal long thin wires; nonmagnetic surroundings; no other fields; points on the wires themselves excluded.

  1. Ax=−0.040 mx=-0.040\ \mathrm m
  2. Bx=+0.024 mx=+0.024\ \mathrm m
  3. Cx=+0.040 mx=+0.040\ \mathrm m
  4. Dx=−0.120 mx=-0.120\ \mathrm m

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