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 on the coil is :

Question

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 on the coil is : (A) 0.55 Nm (B) 0.27 Nm (C) 0.38 Nm (D) 0.42 Nm

Tardigrade Admin · Accepted Answer

| vecτ| = | vecM × vecB| τ = NI × A × B × sin 45° τ = 0.27 Nm Option (2)

Q. A rectangular coil (Dimension 5cm×2.5cm) with 100turns, carrying a current of 3A in the clock-wise direction is kept centered at the origin and in the X−Z plane. A magnetic field of 1T is applied along X-axis. If the coil is tilted through 45∘ about Z-axis, then the torque on the coil is :

0.55 Nm

0.27 Nm

0.38 Nm

0.42 Nm

∣τ∣=∣M×B∣ τ=NI×A×B×sin45∘ τ=0.27Nm Option (2)

$∣ τ ∣ = ∣ M \times B ∣$
$τ = N I \times A \times B \times s in 4 5^{\circ}$
$τ = 0.27 N m$
Option (2)