Canary PAU Physics study plan

Derive Kepler's third law from Newton's law of gravitation and use it to compare orbital periods of planets and satellites.

Calculate gravitational field strength and potential at a point due to one or more point masses, including the vector nature of the field.

Apply conservation of energy and angular momentum to solve problems involving elliptical orbits and escape velocity.

Interpret graphs of gravitational potential versus distance and relate the gradient to field strength.

Solve problems involving geostationary and low-Earth orbits, including calculating orbital radius, speed, and period.

State and apply Coulomb's law in vector form for systems of up to three point charges.

Calculate electric field and potential due to continuous charge distributions (uniform ring, line, and sheet) using integration.

Use Gauss's law to derive the electric field of spherically, cylindrically, and planar symmetric charge distributions.

Define electric potential energy and electric potential, and calculate the work done in moving a charge between two points in a non-uniform field.

Relate electric field to potential gradient and sketch equipotential lines for simple configurations.

Solve problems involving capacitors (parallel-plate and spherical) including capacitance, energy stored, and dielectrics.

Analyze the motion of charged particles in uniform electric fields, including acceleration and deflection.

Apply the Biot-Savart law and Ampère's law to calculate magnetic fields of straight wires, loops, and solenoids.

Calculate the magnetic force on moving charges and current-carrying conductors, and analyze motion of charged particles in uniform magnetic fields.

Use Faraday's law and Lenz's law to determine induced emf and current direction in changing-flux situations.

Describe the generation and properties of electromagnetic waves, and relate the speed of light to the constants of electromagnetism.

Solve problems involving self-inductance, mutual inductance, and energy stored in a magnetic field.

Analyze AC circuits with resistors, inductors, and capacitors (RLC series) including resonance and power factor.

Describe the wave equation and apply it to transverse and longitudinal waves, including calculations of speed, frequency, and wavelength.

Explain superposition, interference, and standing waves in strings and pipes, and calculate harmonic frequencies.

Apply the Doppler effect to sound waves and solve problems involving moving sources and observers.

Calculate intensity levels in decibels and solve problems involving sound intensity and power.

Use Snell's law, critical angle, and total internal reflection to analyze refraction at plane and curved surfaces.

Apply the thin-lens and mirror equations to locate images and calculate magnification, including sign conventions.

Analyze two-source interference of light (Young's double slit) and calculate fringe spacing and path differences.

Describe diffraction gratings and use the grating equation to determine wavelengths and orders.

State the postulates of special relativity and apply time dilation, length contraction, and relativistic momentum.

Use the photoelectric equation and de Broglie wavelength to solve problems involving photons and particles.

Describe nuclear structure, binding energy, and radioactive decay, and solve decay law problems.

Explain nuclear fission and fusion, and calculate energy release using mass defect.

Review gravitational and electric fields through mixed problems that combine concepts from both domains.

Complete a full-length timed practice exam under exam conditions and review errors.