Consider a magnetic field in the positive z direction, and a charge +q moves with a velocity along the positive x direction. How do we know in which direction lorentz force on charge will be acting?
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7$\begingroup$ I don't understand your confusion. The force is given by the right-hand rule, and will be in the negative-y direction. $\endgroup$– Rd BashaCommented Jul 19, 2022 at 14:44
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$\begingroup$ @RdBasha The topic was recently taught to us in school, so I had some doubt in it. Thank you for your time $\endgroup$– Nocturple CoolroomCommented Jul 21, 2022 at 15:21
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1 Answer
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You can use the equation for the magnetic force to find it's direction:
$$\vec {F}_B = q(\vec v \times \vec B)$$ Clearly, the vector $\vec{F}_B$ is along $\vec v \times \vec B$. According to your question, $\vec v$ is along $\hat {i}$ and $\vec B$ along $\hat{k}$, so $\vec{F}_B$ is along $\hat {i} \times \hat {k} = -\hat{j}$, which is along the negative y - axis. You can alternatively use the right hand rule as well.
Hope this helps.
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$\begingroup$ Thank you very much . This was very helpful $\endgroup$ Commented Jul 21, 2022 at 15:23