Magnetism & EMI

Magnetic fields, electromagnetic induction, AC circuits

Key Concepts
  • Magnetic force on charge: F = qv × B (perpendicular to both v and B)
  • Biot-Savart law: magnetic field due to current element
  • Ampere's law: ∮B·dl = μ₀I_enclosed
  • Faraday's law: emf = −dΦ/dt (Lenz's law: induced current opposes change)
  • Self-inductance L: emf = −L dI/dt
Important Formulae
Force on charge in field F = qvB sinθ
Force on current-carrying wire F = BIL sinθ
B due to infinite wire B = μ₀I / (2πr)
B at centre of circular loop B = μ₀I / (2R)
Motional emf emf = BLv
Energy in inductor U = ½LI²
Quick Tips
  • Right-hand rule: curl fingers from v to B; thumb points in direction of F (for +ve charge).
  • Cyclotron: radius r = mv/qB; time period independent of speed.
  • Mutual inductance M: emf₂ = −M dI₁/dt; transformers use mutual induction.
Practice Questions

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