Question

A particle of mass m and charge q is released from the origin in a region in which the electric field and magnetic field are given by
→B=-B0→j and →E=E0→k.
Find the speed of the particle as a function of its z-coordinate.

Answer 1

Explanation:

Given:

Particle’s mass = m

Particle’s charge = q

Magnetic field and electric field are given by

$E \rightarrow=E O k \rightarrow \text { and } B \rightarrow=-B O J \rightarrow$

Velocity, $v=v x i^{\wedge}+v z k^{n}+v y d^{n}$

So, on a particle, the total force is given by F = q (E + v $\times$ B)

As vx = 0, Fz = qE0

So, az = qE0mv2 = u2 + 2as = 2qE0mz

So, v = 2qE0 zm

Here, along the z-direction, z is the distance.