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Two equal electric currents are flowing perpendicular to each other as shown in the figure. AB and CD are perpendicular to each other and symmetrically placed with respect to the current flow. Where do we expect the resultant magnetic field to be zero?

1. on AB
2. on CD
3. on both AB and CD
4. on both OD and BO

Correct answer: on both OD and BO

Solution

The magnetic fields due to the two perpendicular currents will cancel each other out at points equidistant from both currents, which occurs along the lines OD and BO. These lines are symmetric with respect to the current flow.

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