Uniform electric and magnetic fields are directed along...

Uniform electric and magnetic fields are directed along $X$-direction. An electron is projected in $X$-direction with a velocity $v$, then (a) magnitude of velocity of electron will increase (b) magnitude of velocity of electron will decrease (c) electron will turn towards right (d) electron will turn towards left

Uniform electric and magnetic fields are directed along $X$-direction. An electron is projected in $X$-direction with a velocity $v$, then
(a) magnitude of velocity of electron will increase
(b) magnitude of velocity of electron will decrease
(c) electron will turn towards right
(d) electron will turn towards left

Key Concepts

Lorentz Force

The Lorentz force is the combined force experienced by a charged particle in the presence of electric and magnetic fields. It is given by the equation F = q(E + v × B), where q is the particle's charge, E is the electric field, v is the velocity, and B is the magnetic field. This concept is central to understanding how charged particles move in electromagnetic fields.

Electric Field Effect on Charged Particles

An electric field exerts a force on a charged particle that is proportional to the charge and the strength of the field. For particles with a negative charge, the force is in the opposite direction of the field. This results in acceleration or deceleration depending on whether the force aligns with or opposes the velocity of the particle.

Magnetic Field Effect on Charged Particles

A magnetic field exerts a force on a moving charged particle that is given by the cross product of the velocity and the magnetic field (v × B). This force is always perpendicular to the velocity, which means it does not change the magnitude of the velocity, only its direction. When the velocity is parallel or antiparallel to the field, the magnetic force is zero.

Charged Particle Motion in Uniform Fields

The study of charged particle dynamics in uniform electric and magnetic fields involves understanding how these forces combine to influence the trajectory and speed of the particle. The electric field can change the speed (magnitude of velocity) by doing work on the particle, while the magnetic field, when aligned with the velocity, does not change the speed because it causes no work.

Transcript

Please give Ace some feedback