A wire of length \( l \) and mass \( m \) is sliding without fricti...

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A wire of length \( l \) and mass \( m \) is sliding without friction on conducting rails \( a x \) and \( b y \) as shown. The vertical rails are connected to each other with a resistance \( \mathrm{R} \) between \( a \) and \( b \). A uniform magnetic field \( B \) is applied perpendicular to the plane such that moves with a constant velocity of
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