Library

Delve into the dynamics of oscillating systems: from the ideal spring to the damped pendulum, learn how to model, solve and interpret the periodic motions that underpin much of physics.

Measure how fast an algorithm is without timing it: Big-O notation, common complexity classes, and how to read the cost of a loop. With curves and a comparison table to visualize the combinatorial explosion.

Understanding why a planet, a merry-go-round or a car on a bend can travel at a constant speed whilst being constantly accelerated: a paradox that isn’t really a paradox.

Discover what an algorithm is through concrete everyday examples, and write your very first algorithms in pseudocode. An essential starting point before diving into programming.

Learn to determine the unknown concentration of an acidic or basic solution through titration, by precisely identifying the equivalence point.

Understand the transient and sinusoidal behaviour of the RL dipole: current rise and fall, time constant, magnetic energy and complex impedance.

Discover the capacitor – a component capable of storing electrical charges and releasing that energy in an instant: its structure, capacitance, charging and discharging, and practical applications such as camera flashes and defibrillators.

Find out how the electricity that powers your sockets works: sinusoidal voltage, frequency, root mean square (RMS) value and how the domestic electricity supply works.

Learn how to describe motion, calculate speed and recognise uniform linear motion using everyday examples and simple graphs.

Why does a suitcase slide forwards when the train brakes? This lesson explains the principle of inertia – Newton’s first law – using real-life examples and highlighting common pitfalls to avoid.

Understand how a simple three-terminal component can control currents and amplify signals: from the physics of junctions to calculating the gain of a common-emitter stage.

Find out how a force transfers energy to a moving object, from the formula for work to its practical applications, such as free fall and braking a vehicle.

Find out how to calculate an equivalent resistance and distribute voltages and currents in a circuit, whether the resistors are connected in series or in parallel.

Discover how four equations, formulated in the 19th century, unify electricity, magnetism and optics and predict the existence of electromagnetic waves.

Find out how to describe, represent and measure the forces acting on the objects around us, from a rolling ball to a falling apple.

Discover how a simple glass lens can cause light to converge or diverge, and learn how to construct it and calculate the position, size and nature of the images it forms.

Understanding why a thrown ball follows a curved path, and calculating its range and maximum height: this lesson breaks down the motion of projectiles into two simple movements that can be combined.

Learn how to read and use unit prefixes (kilo, milli, centi, etc.) to easily convert measurements of length, mass and time.

Learn how to analyse any electrical circuit using Kirchhoff’s two laws: the law of current conservation at nodes and the law of energy conservation along loops.

From the size of an atom to the distance between the Earth and the Sun, learn how to write and compare very large or very small numbers using scientific notation and orders of magnitude.

From free-running to forced resonance: understand how a series RLC circuit oscillates, dampens and filters frequencies, including typical calculations and common exam pitfalls.

A lesson to help you finally understand the difference between an object’s mass and its weight – two concepts that are often confused but are quite distinct in physics.

An advanced course on understanding the electrostatic potential and the energy associated with charge distributions, from the theoretical foundations through to applications in capacitors.

Find out why a diver feels increasing pressure at greater depths, why an iceberg floats, and why the air around us exerts an enormous force without us even realising it.