A point particle with charge q and mass m moves in response to a uniform electric field E Ez The initial energy, linear momentum, and velocity are 0 , p 0 , and u(0) u 0 y Find r(t ) and show that eliminating t gives the particle trajectory Check the non relativistic limit Z Eo cosh qE qEy (aby) ...

To find the trajectory of the charged particle in ...

A point particle with charge q and mass m moves in response to a uniform electric field

Question:

A point particle with charge q and mass m moves in response to a uniform electric field E = Eẑ. The initial energy, linear momentum, and velocity are ε₀, p₀, and u(0) = u₀ŷ. Find r(t ) and show that eliminating t gives the particle trajectory