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Magnetic Effects of Current and Magnetism

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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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S solutionqc

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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