Physics
Two thin wires carrying same currents lie on X and Y axis as shown in the figure. The origin of axis is O. The magnetic field will be zero on line :
- AB
- CB
- part OB of line AB
- part OC of line CD
Electro-Magnetism
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Answer
AB
Reason — The magnetic field around a straight current-carrying conductor is given by the right-hand thumb rule.
- For the wire along OX, at points above the X-axis, the magnetic field is out of the plane of the paper.
- For the wire along OY, at points to the right of the Y-axis, the magnetic field is into the plane of the paper.
Thus, on line AB, the magnetic fields due to the two wires are in opposite directions.
Also, every point on line AB is equidistant from the X-axis and Y-axis, so the magnitudes of the two magnetic fields are equal, since both wires carry the same current.
Therefore, the two magnetic fields cancel each other on AB.
Hence, the magnetic field is zero on line AB.
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