Verified Solution • 2025–26 Session moderate

QPages 230-234: Q19: HC Verma: Concepts of Physics - Volume 2 Magnetic Field Pages 230-234: Q19 Solution: A rigid wire consists of a semi-circular portion of radius R…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students frequently mistake the arc length ($\pi R$) for the effective length in the magnetic force formula $F = i L B$. You must always use the straight-line distance between the endpoints of the curved section, which is the diameter $2R$, not the path length.

A rigid wire consists of a semi-circular portion of radius R and two straight sections figure). The wire is partially immersed in a perpendicular magnetic field B, as shown in the figure. Find the magnetic force on the wire if it carries a current i.

Step-by-Step Verified Solution

**Answer:**

F = i \pi R B

. **Step-by-Step Explanation:** The force on the semicircular portion is

F = i (2R) B

. The forces on the straight sections cancel or add depending on the current direction. The net force is

i \pi R B

for the semicircular part.

All Questions in this Chapter

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