(Supervisor / Students) with assigned topics in parenthesis. \
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\b ELECTROSTATICS
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\b # (Santiago / Anurag) Field lines. Start from Coulomb law and superposition principle. Field created by different charge distributions\
field from a dipole (start from two charges far away and bring them close, compare with analytical expression) \
continuous charge densities
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# Coulomb Potential. Link between Force and Potential. Equipotential surfaces. Conservative nature of the potential. \
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# Dipole in a uniform field. Potential energy and torque.\
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(# Method of images to compute a field distribution for a charge close to a grounded conducting plane)\
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# Trajectory of a charge moving through a uniform field: charge acceleration and beam deviation\
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\b # (Santiago / Fatine) Gauss\'92 Law and visualisation with field lines. 2D and 3D version. Move a charge around and compute the number of field lines crossing a closed surface. Verify that the flux is proportional to the enclosed charge.
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# Peak effect (field enhancement). Compute the charge distribution for two conducting spheres of different radii that are in electrical contact. Show local field enhancement. \
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# Plane capacitor. Visualisation of charges and field in the steady state, when one changes applied potential, gap distance, dielectric inside the gap\'85 \
Energy of charge distribution, application to the capacitor (stored energy). \
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# Penetration of the electric field inside a dielectric material. Induced polarisation, total field. \
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\b MAGNETISM
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\b # (Sakthi / Arnaud) Lorentz Force in a uniform magnetic field on a point charge (Cyclotron motion) and on a current-carrying wire. \
Motion of a charged particle in perpendicular B and E fields (cycloid curve)\
Magnetic bottle \
Magnetic dipole in a uniform B field.
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# Biot-Savart law.: examples (field of a loop, field of infinite wire)\
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# Ampere\'92s law, circulation of a vector along a closed loop. \
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\b # The law of induction. Electromotive tension and counter-electromotive tension. Examples of induction with varying fields or moving boundaries.
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# Penetration of the magnetic field inside a magnetic material. Dia/para-magnetism. \
Ferro- and antiferromagnetism. \
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\b WAVES
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\b # (Sachin / Thomas) Illustration of the general wave equation f(x-ct); special case of a sinusoidal wave: A*cos(wt-kx+phi)\
Plane wave in 3D, with different possible polarisations (linear, circular, elliptic). \
Superposition of two waves.
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# Mach-Zehnder and Michelson interferometer. Show wave propagation. \
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\b # (Sachin) Interference between spherical (or circular in 2D) waves from point sources. \
Compute interference pattern from superposition principle for 2 sources spaced by d, showing wave fronts. Place screen at the right distance to see the fringes\
Generalisation to N equidistant sources (or scatterers, or slits). Adjust distance of the screen to see the far field pattern. Or make far field image with a lens = plot angular distribution. \
Diffraction grating. Resolution vs. number of slits. Diffraction orders.
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\b # (Sachin / Daniel) Fresnel coefficients at interfaces, including absorbing media. \
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# Field emitted by an infinitesimal dipole. Phased array. Directivity of a finite-length antenna. \
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\b CIRCUITS
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\b # (Sakthi / Mahdi) Charge and discharge of a condensator. RLC circuit. Analogy with damped mechanical oscillator. Show transfer of energy between C and L (analogy with potential and kinetic), maybe with color coding.
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# Fresnel diagram and complex notation for sinusoidal functions \