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Moving Charges and Magnetism — Class 12 CBSE Physics revision notes

A 7-page visual revision sheet for Moving Charges and Magnetism, written for Class 12 CBSE Physics. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.

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Moving Charges and Magnetism in one look

a charge at rest feels nothing from B, a charge on the move feels everything

  1. Electric force: acts on any charge, moving or not
  2. Magnetic force: acts only on a MOVING charge, and only across its velocity
  3. Lorentz force: both together, the complete force on a charge

The magnetic force, said precisely

  • F = qvBsinθ, θ is the angle between v and B
  • direction from vtimesB: right-hand rule, then flip it for a negative charge
  • always perpendicular to v: it can only turn a charge, never speed it up
  • does zero work, so speed and kinetic energy never change

angle between v and B?

  • θ = 0° or 180° — no force: v parallel or antiparallel to B, F = qvB sinθ = 0
  • θ = 90° — circular path: F is always centripetal, radius stays fixed
  • θ neither 0°, 90° nor 180° — helical path: component along B is untouched, component across B circles

Circular motion in a uniform field

  • magnetic force supplies the centripetal force qvB = mv^2/r
  • radius of the circle r = mv/qB
  • period, independent of speed T = 2π m/qB
  • cyclotron frequency f = qB/2π m

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