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A particle having mass m and charge q is...

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
` vecB =- B_0vecJ and vecE = E_0 vecK.`
Find the speed of the particle as a function of its z-coordinate.

Text Solution

Verified by Experts

Since the magnetic field does not perform any work, therefore, whatever has been the gain in kenetic energy it is only because of the work done by electric field. Applying work-energy theoram, `W_E=DeltaK`
`qEz=1/2mv^2-O or, v=sqrt((2qEz)/m)`
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