Why does the kinetic energy of the charged particle does not change when moving in the magnetic field?
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Force due to both electric and magnetic forces will influence the motion of charged particles. However, the resulting change to the trajectory of the particles will differ qualitatively between the two forces. Right Hand Rule: Magnetic fields exert forces on moving charges. This force is one of the most basic known. The direction of the magnetic force on a moving charge is perpendicular to the plane formed by v and B and follows right hand rule–1 (RHR-1). The magnitude of the force is proportional to q, v, B, and the sine of the angle between v and B.
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