A positive ion has cyclotron period 2.0 μs in a uniform magnetic field. A parallel electric field produces axial acceleration 3.0×10¹² m/s². By how many metres does the second pitch exceed the first pitch?
Physics · Magnetic effect of current · motion of charge particle in magnetic field
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Question

A positive ion has cyclotron period 2.0 μs in a uniform magnetic field. A parallel electric field produces axial acceleration 3.0×10¹² m/s². By how many metres does the second pitch exceed the first pitch?

Physics · Magnetic effect of current · motion of charge particle in magnetic field

G1 Physics · Accepted Answer

Successive pitch difference is aT². With a=3×10¹² and T=2×10⁻⁶ s, Δp=aT²=3×10¹²×4×10⁻¹²=12 m.