Mathematics

Problem

A metal bar of mass

1.5\,\text{kg}

and length

0.60\,\text{m}

rests on two smooth, horizontal, parallel rails that are

0.60\,\text{m}

apart. A uniform vertical magnetic field of

0.15\,\text{T}

is present in the entire region. The bar is connected to a battery so that a current of

10\,\text{A}

flows through it from one rail to the other. a. (i) Calculate the magnitude and state the direction of the magnetic force acting on the bar. b. (ii) Determine the acceleration of the bar along the rails, ignoring any friction. c. (iii) If a constant opposing frictional force of

5\,\text{N}

acts on the bar, what current should be adjusted in the circuit so that the bar slides with constant velocity?

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