Question

A charge $q=-4\mu C$ has an instantaneous velocity $\overrightarrow{v}=(2\hat{i}-3\hat{j}+\hat{k})\times {10}^{6}m/s$ in a uniform magnetic field $\overrightarrow{B}=(2\hat{i}+5\hat{j}-3\hat{k})\times {10}^{-2}T$.What is the force on the charge?

• A. $(-0.16\hat{i}-0.32\hat{j}-0.64\hat{k})N$
• B. $(-0.16\hat{i}-0.12\hat{j}-0.44\hat{k})N$
• C. $(-0.16\hat{i}-0.82\hat{j}-0.44\hat{k})N$
• D. $(-0.12\hat{i}-0.12\hat{j}-0.64\hat{k})N$

Answer 1

The correct option is A $(-0.16\hat{i}-0.32\hat{j}-0.64\hat{k})N$

$\overrightarrow{F}=q\overrightarrow{v}\times \overrightarrow{B},whereqhasapositiveornegativesign,onsubstituting,weget-0.16\hat{i}-0.32\hat{j}+-0.64\hat{k}$