A charged particle passes undeflected through mutually perpendicular uniform electric and magnetic fields. If its velocity is perpendicular to both fields, what is its speed?
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Question

A charged particle passes undeflected through mutually perpendicular uniform electric and magnetic fields. If its velocity is perpendicular to both fields, what is its speed?

G1 Physics · Accepted Answer

For zero deflection, |q|E=|q|vB, hence v=E/B.