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QPages 228-229: Q2: HC Verma: Concepts of Physics - Volume 2 Magnetic Field Pages 228-229: Q2 Solution: Can a charged particle be accelerated by a magnetic field? Can…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often confuse acceleration with an increase in speed; remember that the magnetic force $\vec{F} = q\vec{v} \times \vec{B}$ is always perpendicular to velocity, so it changes direction (centripetal acceleration) but performs zero work, leaving kinetic energy and speed unchanged.

Can a charged particle be accelerated by a magnetic field? Can its speed be increased?

Step-by-Step Verified Solution

**Answer:** Yes, a charged particle can be accelerated by a magnetic field. No, its speed cannot be increased. **Step-by-Step Explanation:** The magnetic force F⃗=qv⃗×B⃗\vec{F} = q\vec{v} \times \vec{B} is always perpendicular to the velocity. This force changes the direction of motion (centripetal acceleration), but it does no work on the particle because F⃗⋅v⃗=0\vec{F} \cdot \vec{v} = 0. Hence, the kinetic energy and speed of the particle remain constant.

All Questions in this Chapter

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