A charged particle of charge q and mass m enters perpendicular to a magnetic field B. If its kinetic energy is E, find the frequency of circular motion.
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A charged particle of charge q and mass m enters perpendicular to a magnetic field B. If its kinetic energy is E, find the frequency of circular motion.

G1 Physics · Accepted Answer

Step 1: The magnitude of magnetic force on the orbiting charge is |q|vB. Step 2: Equate to centripetal force: |q|vB = mv²/r, so angular speed ω = v/r = |q|B/m. Step 3: f = ω/(2π) = |q|B/(2πm). Frequency does not depend on kinetic energy. Final answer: (B) qB/(2πm).