1. Tardigrade
  2. Question
  3. Physics
  4. A rectangular coil (Dimension 5 cm × 2.5 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° about Z-axis, then the torque (in Nm) on the coil is:

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Q. A rectangular coil (Dimension $5 \,cm \times 2.5 \,cm)$ 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 $45^{\circ}$ about Z-axis, then the torque (in Nm) on the coil is:

Moving Charges and Magnetism

Solution:

$\tau =mB \, sin \,45^{\circ}=N$ (iA) $B\,sin \,45^{\circ}$
image
$=100\times3\left(5\times2.5\right)\times10^{-4}\times1\frac{1}{\sqrt{2}}$
$=0.27\,Nm$