A positive charge starts from the origin with velocity uî in a uniform magnetic field B=Bk̂. With ω=qB/m, which position vector is correct?
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Question

A positive charge starts from the origin with velocity uî in a uniform magnetic field B=Bk̂. With ω=qB/m, which position vector is correct?

G1 Physics · Accepted Answer

Integrating vₓ=u cosωt and vᵧ=−u sinωt gives x=(u/ω)sinωt and y=(u/ω)(cosωt−1).