Question

A charged particle moves with velocity $\overrightarrow{v}$ in a uniform magnetic field $\overrightarrow{B}$. The force experienced by the particle is

• A. Never zero
• B. Always zero
• C. Zero if $\overrightarrow{v}$and $\overrightarrow{B}$ are parallel
• D. Zero if $\overrightarrow{v}$and $\overrightarrow{B}$ are perpendicular

Answer 1

The correct option is C

Zero if $\overrightarrow{v}$and $\overrightarrow{B}$ are parallel

Step 1: Formula used,

The force experienced by a charged particle moving in a magnetic field is given by: $F=qvB\sin \theta$

Step 2: Calculating the force on the particle if it moves parallel to the magnetic field:

If the particle moves in a direction parallel to the magnetic field, then $\theta =0°$

Thus, the force experienced by the particle is given by:

$F=qvB\sin (0{}^{\circ })$

Thus, $F=0N$

Hence, option (C) is the correct answer.