Please provide a correct and well explained solution for the following advanced physics (electromagnetism) The Lagrangian of a particle of charge q moving with velocity v in a regionof space with a scalar potential o and a vector potential A isL = mv² – qó(r, t) + qv · A (r, t) .Show that the Lagrange's equations coincide with components of the Coulomb-Lorentz force that is applied to the charged particle, namelymř = qE + qv x B.It is useful to remember that Lagrange equations ared dL:0.qa € {r, y, z}.%3Ddt Ôġ,

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