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A wire of length $1m$ is placed in $x-z$ plane carries a current of $1A$. The coefficient of friction between the wire and the surface is $0.2$ and the mass of the wire is $2\; Kg$. The magnetic field of strength $2T$ exists along positive $y$ direction. Then which of the following is correct

$\begin {array} {1 1} (a)\;Acceleration\: of\: the \: wire \; is\: 2\: m/s^2 & \quad (b)\;Acceleration\: of\: the \: wire \; is\: 1\: m/s^2 \\ (c)\;Acceleration\: of\: the \: wire \; is\: 0.5\: m/s^2 & \quad (d)\;Acceleration\: of\: the \: wire \; is\: 0\: m/s^2 \end {array}$

 

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Magnetic force= B i l
                        = 2x1x1
                        =2 N
Frictional force=  $\mu m g$
                        = 4 N
Magnetic force on the wire is smaller than the maximum value of frictional force.
Ans : (d)

 

answered Feb 19, 2014 by thanvigandhi_1
edited Sep 19, 2014 by thagee.vedartham
 

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