Physics
Magnetic-Effects-Of-Current-And-Magnetism
Easy

Question

A conducting ring of mass 2 kg and radius 0.5 m is placed on a smooth horizontal plane. The ring carries a current of i = 4 A. A horizontal magnetic field B = 10 T is switched on at time t = 0 as shown in figure. The initial angular acceleration of the ring will be

  1. 40 pi rad/s2
  2. 20 pi rad/s2
  3. 5 pi rad/s2
  4. 15 pi rad/s2

The correct answer is: 40 pi rad/s2


    Due to torque of magnetic field, ring will rotate about vertical diameter. tau equals I alpha space of 1em not stretchy rightwards double arrow space of 1em M B equals I alpha
    table attributes columnalign left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow space of 1em i pi r squared B equals 1 half m r squared alpha end cell row cell not stretchy rightwards double arrow space of 1em alpha equals fraction numerator 2 i B pi over denominator m end fraction equals fraction numerator 2 cross times 4 cross times 10 pi over denominator 2 end fraction equals 40 pi rads to the power of negative 2 end exponent end cell end table

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