Verify that the relativistic force law dr dp" = qF",u" (v summation implied), %D where E, E, E. cB. -cB, Fa E, -cB. cB, E. cB, -cB, yields the relativistic Lorentz force equation d(ymv) =q(E+v×B) %3D dt when evaluated on the space components a =1,2,3.

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dp"
qF" u' (v summation implied),
dr
Verify that the relativistic force law
where
E,
E,
cB. -cB,
E.
E,
%3D
Е, -сВ.
Е. сВ, -сВ,
cBx
yields the relativistic Lorentz force equation
d(ymv)
=q(E+v×B)
q(È +vx.
dt
when evaluated on the space components a = 1,2,3.
Transcribed Image Text:dp" qF" u' (v summation implied), dr Verify that the relativistic force law where E, E, cB. -cB, E. E, %3D Е, -сВ. Е. сВ, -сВ, cBx yields the relativistic Lorentz force equation d(ymv) =q(E+v×B) q(È +vx. dt when evaluated on the space components a = 1,2,3.
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