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Magnetic Materials — Class 12 Maharashtra HSC Physics revision notes

A 5-page visual revision sheet for Magnetic Materials, written for Class 12 Maharashtra HSC 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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Magnetic Materials in one look

a bar magnet in a field, then why iron, nickel and cobalt behave so differently from everything else

Torque on a magnetic dipole in a uniform field

  • torque, theta between m and B τ=mtimesB
  • magnitude τ=mBsinθ

Potential energy of a magnetic dipole

  • general angle theta U_m=-mBcosθ

Special angles of a magnetic dipole

  • θ=0, m parallel to B — minimum, most stable orientation
  • θ=90°, m perpendicular to B — zero potential energy
  • θ=180°, m antiparallel to B — maximum, most unstable orientation

Small oscillations of a suspended magnet

  • small-angle restoring torque τ=-mBsinθ≈-mBθ matches angular SHM
  • this gives Id^2θ/dt^2=-mBθ, with ω^2=mB/I
  • a vibration magnetometer uses this swing to compare moments or find Earth's horizontal field

Time period of oscillation

  • angular frequency ω=√mB/I
  • time period T=2π√I/mB

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