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Q. Two parallel wires carrying currents in the same direction attract each other because of

Rajasthan PMTRajasthan PMT 2007Moving Charges and Magnetism

Solution:

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As shown in the figure, let the conductor $Y$ carry current $i_{2}$, situated in a magnetic field perpendicular to its length. It therefore, experiences a magnetic force, the magnitude of the force acting on a length $l$ of $Y$ is
$F=i_{2} B l=i_{2}\left(\frac{\mu_{0}}{2 \pi} \frac{i_{2}}{R}\right) l$
From Fleming's left hand rule the direction of this force is towards $X$. Similarly, force per unit length of $X$ due to $Y$ is directed opposite to $Y$. Hence, the conductors attract each other.