Verified Solution • 2025–26 Session moderate

QPages 228-229: Q7: HC Verma: Concepts of Physics - Volume 2 Magnetic Field Pages 228-229: Q7 Solution: Is it possible for a current loop to stay without rotating in a …

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often mix up the loop’s plane with its area vector, assuming the loop must lie parallel to the magnetic field for zero torque. Remember that the magnetic moment $\,\vec m = NI\vec A\,$ points normal to the loop, so torque vanishes only when $vec m$ (i.e., the area vector) is parallel or anti‑parallel to $vec B$, meaning the loop’s plane is perpendicular to the field.

Is it possible for a current loop to stay without rotating in a uniform magnetic field? If yes, what should be the orientation of the loop?

Step-by-Step Verified Solution

**Answer:** Yes, it is possible. The loop should be oriented with its plane perpendicular to the magnetic field (area vector parallel or anti-parallel to the field). **Step-by-Step Explanation:** The torque on a current loop is τ⃗=m⃗×B⃗\vec{\tau} = \vec{m} \times \vec{B}, where m⃗=NIA⃗\vec{m} = NI\vec{A} is the magnetic moment. The torque is zero when m⃗\vec{m} is parallel or anti-parallel to B⃗\vec{B}, i.e., when the plane of the loop is perpendicular to the magnetic field.

All Questions in this Chapter

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