Two infinitely long current-carrying wires lie perpendicular to one another, as shown. Lines AB and CD are perpendicular and symmetrically situated with respect to the currents. At which positions does the resultant magnetic field vanish? [Image]
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Question

Two infinitely long current-carrying wires lie perpendicular to one another, as shown. Lines AB and CD are perpendicular and symmetrically situated with respect to the currents. At which positions does the resultant magnetic field vanish? [Image]

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G1 Physics · Accepted Answer

Step 1: Each long wire produces field circulations given by the right-hand grip rule. Step 2: On the geometrically symmetric line AB the contributions cancel due to symmetry; on the other line they reinforce. Step 3: Therefore zero magnetic field lies on AB only. Answer A (confirm source geometric labels). Final answer: (A) On AB.