A very long wire carrying current \( I \) is fixed along \( x \)-axis. Another parallel finite w...

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A very long wire carrying current \( I \) is fixed along \( x \)-axis. Another parallel finite wire carrying a current in the opposite direction is kept at a distance \( d \) above the wire in \( x y \) plane. The second wire is free to move parallel to itself. The options available for its small displacements are in
(i) +ve \( x \) direction
(ii) +ve \( y \) direction
(iii) +ve \( z \) direction
Taking gravity in negative \( y \) direction, the nature of equilibrium of second wire is
(a) Stable for movement in \( x \) direction, unstable for movement in \( y \) direction, neutral for movement in \( z \) direction.
(b) Stable for movement in \( y \) direction, unstable for movement in \( z \) direction, neutral for movement in \( x \) direction.
(c) Stable for movement in \( z \) direction, unstable for movement in \( y \) direction, neutral for movement in \( x \) direction.
(d) Stable for movement in \( y \) direction, unstable for movement in \( x \) direction, neutral for movement in \( z \) direction.
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