Class 12 NEET Physics Moving Charges and Magnetism

The force experienced by a charged particle moving in space where electric and magnetic field exists is called Lorentz force. When a charged particle carrying charge $q$ is subjected to an electric field of strength $\overset{\rightarrow}{E}$ it experiences a forcegiven by $\overset{\rightarrow}{F}_e=q \overset{\rightarrow}{E}$ whose direction is same as $\overset{\rightarrow}{E}$ or opposite of $\overset{\rightarrow}{E}$ depending on the nature of charge, positive or negative. If a charged particle is moving in a magnetic field of strength $\overset{\rightarrow}{B}$ with a velocity$\overset{\rightarrow}{v}$ it experiences a force given by $\overset{\rightarrow}{F}_m=q\left( \overset{\rightarrow}{v}×\overset{\rightarrow}{B}\right)$ The direction of this force is in the direction of $\overset{\rightarrow}{v}×\overset{\rightarrow}{B}$ i.e.perpendicular to the plane containing $\overset{\rightarrow}{v}$ and $\overset{\rightarrow}{B}$ is directed as given by right hand screw rule. Due to both the electric and magnetic fields, the total force experienced by the charge $q$ is given by $\overset{\rightarrow}{F}= \overset{\rightarrow}{F}_e+ \overset{\rightarrow}{F}_m$ $=q \overset{\rightarrow}{E}+q\left( \overset{\rightarrow}{v}×\overset{\rightarrow}{B}\right)$