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Question

Two infinite long wires, each carrying current I, are lying along x-axis and y-axis, respectively. A charged particle, having a charge q and mass m, is projected with a velocity u along the straight line OP. The path of the particle is (neglect gravity) a:

167085_1df1df1f18184fbf8712c345d2a7f689.png

A
straight line
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B
circle
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C
helix
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D
cycloid
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Solution

The correct option is A straight line
Magnetic field due to the vertical wire is equal and opposite to the magnetic field due to the horizontal wire at any point on line OP, hence, they will cancel each other.
Hence, the charged particle projected along OP will not experience any force due to B=0, it will move along the straight line OP.

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