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Establish analytically that the gain in ...

Establish analytically that the gain in kinetic energy of the charged particle moving in a magnetic field is zero.

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Total gain in K.E.=work done
`=int vecF_m*dvecr = int_(t_(1))^(t_(2))vecF_m*(dvecr)/(dt)dt=int_(t_(1))^(t_(2))vecF_m*vecvdt`
`int_(t_(1))^(t_(2)) q(vecvxxvecB)*vecvdt=int_(t_(1))^(t_(2))q(vecvxxvecv)*vecBdt=0`
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