A positive charge starts from rest at the origin in E=Eî and B=Bk̂. Let ω=qB/m and vᴅ = E/B. Which x-coordinate is correct?
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Question

A positive charge starts from rest at the origin in E=Eî and B=Bk̂. Let ω=qB/m and vᴅ = E/B. Which x-coordinate is correct?

G1 Physics · Accepted Answer

Solving m dv/dt=q(E+v×B) gives vₓ=vᴅ[1−cosωt]. Integrating gives x=vᴅ[t−sinωt/ω].