# 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)  $0.27\: Nm$

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)

$0.27\: Nm$

### Preparation Products

##### Knockout JEE Main Sept 2020

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 12999/- ₹ 6999/-
##### Rank Booster JEE Main 2020

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 9999/- ₹ 4999/-
##### Test Series JEE Main Sept 2020

Take chapter-wise, subject-wise and Complete syllabus mock tests and get in depth analysis of your test..

₹ 4999/- ₹ 1999/-
##### Knockout JEE Main April 2021

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 22999/- ₹ 14999/-
##### Knockout JEE Main April 2022

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 34999/- ₹ 24999/-