A magnetic field B is along the +y axis and a proton moves along the +x axis. The direction of the magnetic force on the proton is:
AAlong the −x axis
BAlong the −z axis
CAlong the +y axis
DAlong the +z axis
Answer & Solution
Correct answer: D. Along the +z axis
1. Force on a positive charge: $\mathbf{F} = q(\mathbf{v} \times \mathbf{B})$.
2. Here $\mathbf{v} = v\hat{i}$ and $\mathbf{B} = B\hat{j}$.
3. Cross product: $\hat{i} \times \hat{j} = \hat{k}$, so $\mathbf{v} \times \mathbf{B}$ is along $+z$.
4. For a positive proton the force is along the $+z$ axis (a negative charge would feel it along $-z$).
_Source: syllabus Physics Ch 4 "Moving Charges and Magnetism", p.136_
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