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:

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 (in Nm) on the coil is: (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

τ =mB sin 45°=N (iA) B sin 45° <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/d7842346ce44d4933b2a6614380b167b-.png" /> =100×3(5×2.5)×10-4×1(1/√2) =0.27 Nm

τ=mBsin45∘=N (iA) Bsin45∘ =100×3(5×2.5)×10−4×12​1​ =0.27Nm

$τ = m B s in 4 5^{\circ} = N$ (iA) $B s in 4 5^{\circ}$

$= 100 \times 3 (5 \times 2.5) \times 1 0^{- 4} \times 1 \frac{1}{2}$
$= 0.27 N m$