Question: Q. 2. Write the expression, in a vector form, for the Lorentz magnetic force $\vec{F}$ due to a charge moving with velocity $\vec{v}$ in a magnetic field $\vec{B}$. What is the direction of the magnetic force?
R [Delhi I, II, III 2014]
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Solution:
Ans. Force acting on any charge of magnitude $q$ moving with velocity $v$ in magnetic field $B$ is :
$$ \vec{F}=q(\vec{v} \times \vec{B}) $$
It is magnetic force on charge $q$ due to its motion in magnetic field. In this, the direction of magnetic force will be perpendicular to the plane having velocity vector and magnetic field vector.
$\vec{B}$ $1 / 2$
[CBSE Marking Scheme 2014]