A material particle mass m and electric charge q moves in a combined electric (E

Question

A material particle mass m and electric charge q moves in a combined electric (E) and magnetic (B) field with intantaneous velocity v, where E and B are constant fieldsand B is small enough to allow the neglect of terms proportional to B^2 in comparison to terms proportional to B=|B| and/or in frame (x,y,z) where v is measured. [a] Write an equation of motion for this particle in the external (laboratory) frame (x',y',z') which has the same origin as (x,y,z), but which rotatoes steadily with an angular velocity: w=-(1/2)(q/m)B, and express the equation of motion fot his material particle in these new coordinates.

Explanation / Answer

To explore particle dynamics, we use the geodesic equation, modified by the Lorentz
force when necessary. First, we find the Christoffel symbols from the metric:
?

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.