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

Establish analytically that the gain in kinetic energy of the charged

1.	Establish analytically that the gain in kinetic energy of the charged particle moving in a magnetic field is zero.
Answer» Total gain in K.E.=work done `=int vecF_mdvecr = int_(t_(1))^(t_(2))vecF_m(dvecr)/(dt)dt=int_(t_(1))^(t_(2))vecF_mvecvdt` `int_(t_(1))^(t_(2)) q(vecvxxvecB)vecvdt=int_(t_(1))^(t_(2))q(vecvxxvecv)*vecBdt=0`

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

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