Verified Solution • 2025–26 Session moderate

QPages 228-229: Q5: HC Verma: Concepts of Physics - Volume 2 Magnetic Field Pages 228-229: Q5 Solution: Assume that the magnetic field is uniform in a cubical region…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often forget that the Lorentz force disappears the moment the particle leaves the uniform field, so a circular trajectory can exist only while the particle stays entirely inside the cube. Assuming the field extends indefinitely leads them to think any radius works, but a full $360^{\circ}$ orbit requires the circle to fit within the cube, which is impossible for a particle launched from outside unless the radius is smaller than the cube’s half‑side – a condition that cannot be guaranteed.

Assume that the magnetic field is uniform in a cubical region and zero outside. Can you project a charged particle from outside into the field, so that the particle describes a complete circle in the field?

Step-by-Step Verified Solution

**Answer:** No, a charged particle cannot describe a complete circle in the field. **Step-by-Step Explanation:** If the magnetic field is uniform only inside a cubical region and zero outside, a charged particle entering the field will describe a circular arc inside the field. If the radius of the circle is larger than the size of the cubical region, the particle will exit the field before completing a full circle. To describe a complete circle, the radius must be small enough that the entire orbit fits inside the cubical region.

All Questions in this Chapter

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