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Need clarity, kindly explain! - Magnetic Effects of Current and Magnetism - JEE Main-3

A rectangular coil (Dimension 5\; cm\times 2.5\; cm) with 100 turns, carrying a current of 3\: A in the clock-wise direction. it is kept centered at the origin and in the X-Z plane. A magnetic field of 1\; T is applied along X-axis. If the coil ia tilted through 45^{\circ}about Z-axis,then the torque on the coil is :

  • Option 1)

    0.38\: Nm

  • Option 2)

    0.55\: Nm

  • Option 3)

    0.42\: Nm

  • Option 4)

     0.27\: Nm

 
Answers (1)
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Torque      T=MB\: sin\theta

                       =NIA\; B sin\theta

                         =100\times 3\times 5 \times 2.5\times 10^{-4}\times 1\times sin 45

                        =3750\times 10^{-4}\times \frac{1}{\sqrt{2}}

                        =0.2651

                          =0.27 \: Nm


Option 1)

0.38\: Nm

Option 2)

0.55\: Nm

Option 3)

0.42\: Nm

Option 4)

 0.27\: Nm

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