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Question

A particle having mass m and charge q is released from the origin in a region in which electric field and magnetic field are given by
B=Bo^j and E=Eo^k
Find the value of 5v2qE0zm if v is speed of the particle as a function of its z-coordinate.

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Solution

Work is done only by electrostatic force.
Hence from work-energy theorem.
12mv2 = work done by electrostatic force only
= (qEo)z

Speed, v=2qEovm
Particle rotates in a plane perpendicular to B is i.e.,in x-z plane only. Hence, vy=0

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