Physics 2102 Gabriela Gonz lez Marathon review of the course 15 weeks in 60 minutes Fields electric magnetic electric and magnetic forces on electric charges potential energy electric potential work for electric fields electric and magnetic energy densities fundamental laws on how fields are produced Maxwell s equations Circuits components Capacitors resistors inductors batteries Circuits circuits with R and batteries RC LR LC Waves Speed frequency wavelength polarization intensity Wave optics interference Forces due to electric fields F qE Coulomb s Law Electric field due to single point charge several point charges Electric dipoles field produced by a dipole electric torque on a dipole charged lines straight lines arcs surface charges conducting and insulating planes disks surfaces of conductors Gauss law volume charges insulating spheres conductors E 0 inside Electric flux Gauss law applied to spherical cylindrical plane symmetry Electric potential of a single charge of several charges of distributed charges Work potential energy Electric fields Force exerted by a magnetic field on a charge on a current Magnetic field lines always closed Magnetic fields created by currents wires loops solenoids BiotSavart s law Ampere s law Magnetic dipoles field produced by a dipole torque on a dipole Magnetic fields Changing magnetic flux creates an induced electric field and a current if there is a wire Faraday s law Changing electric flux creates an induced magnetic field Ampere Maxwell s law displacement current Induced fields E dA q enc 0 S d B ds 0ienc 0 0 dt C C d E ds dt Plus S d E E dA 0ienc 0 0 dt d B B dA dt S V iR Q CV E Ldi dt Resistivity E J R L A Parallel plate spherical cylindrical capacitors Capacitors with dielectrics Resistors capacitors in series and in parallel Power delivered by a battery P iE Energy dissipated by a resistor P i2 R V2 R Energy stored in capacitors inductors energy stored in electric magnetic fields Ideal and real batteries internal resistance V iR Q CV Single and multiloop circuits Junction rule for current Loop rule for potential difference RC RL circuits time constant RC L R charging discharging POTENTIAL across capacitor CANNOT CHANGE SUDDENLY CURRENT in inductor CANNOT CHANGE SUDDENLY Plus resistors and capacitors in series and in parallel LC Oscillations careful about difference between frequency angular frequency Physical understanding of stages in LC cycle RLC circuits energy is dissipated in the resistor Circuits circuit elements Wave propagating in x direction E Em sin kx t j B Bm sin kx t k c Em Bm 0 0 1 2 speed of light in vacuum S ExB 0 Em2 0c sin2 kx t i Poynting vector I Em2 2 0c intensity or power per unit area Spherical waves I Ps 4 r2 Radiation pressure F A I c absorption F A 2I c reflection Polarizers I I0 2 unpolarized light I I0cos2 polarized light Refraction 0 n v c n n2sin 2 n1sin 1 v1sin 2 v2sin 1 Two beam Interference due to difference in phase 2 L L m constructive L m 1 2 destructive Coherent light through a double slit produces fringes dsin m bright dsin m 1 2 dark fringe spacing x L d EM waves Fields electric magnetic electric and magnetic forces on electric charges potential energy electric potential work for electric fields electric and magnetic energy densities fundamental laws on how fields are produced Maxwell s equations Circuits components Capacitors resistors inductors batteries Circuits circuits with R and batteries RC LR LC Waves Speed frequency wavelength polarization intensity Wave optics interference Think about and understand basic concepts Look at your past exams and quizzes why didn t you get 100 Predict your problems in the final exam Study the equation sheet invent a problem for each formula Read all lecture slides review hwk problems and problems in class Practice with a couple of past exams timing is important Save time to eat lunch and relax the hour before the exam Enjoy the summer
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