A rectangular coil (Dimension 5 ,cm 2 ,cm ) with 100 ,turns, carr… - Vidyadip

MCQ

A rectangular coil (Dimension $5\,cm\times 2\,cm$ ) with $100\,turns,$ carrying a current of $3\,A$ in the clock-wise direction, 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 is tilted through $45^o$ about $Z-$ axis, then the torque on the coil is.....$Nm$

A
$0.42$
✓
$0.27$
C
$0.55$
D
$0.38$

✓

Answer

Correct option: B.

$0.27$

b
$|\overrightarrow{\mathrm{t}}|=|\overrightarrow{\mathrm{M}} \times \overrightarrow{\mathrm{B}}|$

$\tau=\mathrm{NI} \times \mathrm{A} \times \mathrm{B} \times \sin 45^{\circ}$

$\tau=0.27\, \mathrm{Nm}$

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