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JEE Mains · Physics · STD 12 - 4. Moving charges and magnetism

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.....\(Nm\)

  1. A \(0.42\)
  2. B \(0.27\)
  3. C \(0.55\)
  4. D \(0.38\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(0.27\)

Step-by-step Solution

Detailed explanation

\(|\overrightarrow{\mathrm{t}}|=|\overrightarrow{\mathrm{M}} \times \overrightarrow{\mathrm{B}}|\) \(\tau=\mathrm{NI} \times \mathrm{A} \times \mathrm{B} \times \sin 45^{\circ}\) \(\tau=0.27\, \mathrm{Nm}\)
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