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Winter wk 8 – Thus.24.Feb.05. Review Ch.30 – Faraday and Lenz laws Ch.32: Maxwell Equations ! Gauss: q E Ampere: I B Faraday: dB/dt E (applications) Maxwell: dE/dt B Magnetism in matter. Energy Systems, EJZ. Gauss: charge q E field. No magnetic charges.
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Winter wk 8 – Thus.24.Feb.05 Review Ch.30 – Faraday and Lenz laws Ch.32: Maxwell Equations! • Gauss: q E • Ampere: I B • Faraday: dB/dt E (applications) • Maxwell: dE/dt B Magnetism in matter Energy Systems, EJZ
Gauss: charge q E field No magnetic charges Practice: P2 (p.883)
Lenz’s law tells DIRECTION of e Induced emf opposes change in flux: Induced current Ii creates an induced field Bi to oppose any change in the external flux. In what direction does current flow, in each diagram?
Practice with Lenz’s law In what direction does current flow, in each loop
AC power depends on transformers Step-up transformer: higher voltage, lower current Step-down: lower voltage, higher current
Induced magnetic fields: dE/dt B Recall Faraday: changing magnetic flux E field Symmetry: changing electric flux B Practice: P 5, 10 (p.884)
Ampere-Maxwell Law • What can cause a magnetic field B? • Ampere: Current IB: • Maxwell: changing EB:
Practice with magnetic induction Q1 (p.882): Is E increasing or decreasing? Q2: Which loop has the greatest magnetic circulation?
Maxwell Eqns EM waves Next week we will combine the Maxwell equations to • Derive electromagnetic waves • Derive the speed of light
Magnetism in matter Earth’s B field is due to currents in the molten outer core Electron spin ~ current loop magnetic moment m=IA Magnetic materials have regions of aligned electron spin Probs. 67, 72, 73