H3 Physics 9814
Study the five additional GCE A Level H3 Physics 9814 topics through clear lessons, worked examples, understanding checks and exam practice.
Learning goals
- state that a frame of reference is a set of coordinates that can be used to determine positions and times of events in that frame
- show an understanding that Newton’s laws of motion are obeyed in all inertial frames of reference
- recall and apply the Galilean transformation equations to solve problems relating observations in different inertial frames of reference
- show an understanding that the centre of mass frame (or zero momentum frame) is the inertial frame in which the total linear momentum of the system is zero
- solve one-dimensional collision problems by considering velocities relative to the centre of mass of the system (i.e. in the zero-momentum frame)
- show an understanding of and use the terms angular displacement, angular velocity, and angular acceleration of a rigid body with respect to a fixed axis
- solve problems using the equations of motion for uniform angular acceleration that are analogous to the equations of motion for uniform linear acceleration
- show an understanding of and use the terms angular momentum and moment of inertia of a rotating rigid body
- calculate the moment of inertia about an axis for simple bodies by using calculus, the parallel-axis theorem or otherwise (knowledge of the perpendicular-axis theorem and mathematical derivation of the moment of inertia for spheres are not required)
- show an understanding of torque produced by a force relative to a reference point, and apply the principle that torque is related to the rate of change of angular momentum to solve problems, such as those involving point masses, rigid bodies, or bodies with a variable moment of inertia e.g. an ice-skater
- Apply Eₖ,rot = ½Iω² to the rotational kinetic energy of a rigid body.
- Derive Eₖ,rot = ½Iω² for a rigid body from the equations of motion.
- recall and apply the result that the motion of a rigid body can be regarded as translational motion of its centre of mass with rotational motion about an axis through the centre of mass to solve problems, including the use of F ⩽ µN for solid surfaces in no-slip contact (no distinction is made between the coefficient of static and kinetic friction)
- show an understanding that ideal conductors form an equipotential volume, and that the electric field within an ideal conductor is zero
- show an understanding that electric charge accumulates on the surfaces of a conductor, and that the electric field at the surface of a conductor is normal to the surface
- recall and apply Gauss’s law 6 for electric and magnetic fields (knowledge of the differential form of Gauss’s law is not required), and
- recall and apply Ampère’s law 7 relating the line integral of the magnetic field (in a vacuum) around a closed loop with the electric current enclosed by the loop to solve problems involving symmetric field configurations (knowledge of the differential form of Ampère’s law is not required) [Note further that candidates are not required to know Maxwell’s generalisation of Ampère’s law including the term related to the rate of change of electric flux, nor the Biot-Savart law.]
- define the magnitude of the electric dipole moment as the product of the charge and the separation
- show an understanding of and use the torque on an electric dipole and the potential energy of an electric dipole to solve related problems
- define the magnitude of the magnetic dipole moment for a current loop as the product of the current and the area of the loop
- show an understanding of and use the torque on a magnetic dipole and the potential energy of a magnetic dipole to solve related problems
- solve problems involving symmetric charge distributions by relating the electric flux (in a vacuum) through a closed surface with the charge enclosed by that surface (ii) show an understanding that the magnetic flux through a closed surface is always zero, suggesting the non-existence of magnetic monopoles
- define self-inductance as the ratio of the e.m.f. induced in an electrical circuit / component to the rate of dI change of current causing it and use V = L to solve problems dt
- show an understanding that mutual inductance is the tendency of an electrical circuit / component to oppose a change in the current in a nearby electrical circuit / component
- show a qualitative understanding that dielectric materials enhance capacitance, and that dielectric breakdown can occur when the electric field is sufficiently strong (knowledge of the quantitative modification of electric fields in matter through the permittivity is not required)
- show a qualitative understanding that ferromagnetic materials enhance inductance and that this enhancement is non-linear especially near saturation (knowledge of the quantitative modification of magnetic fields in matter through the permeability is not required)
- Apply U = ½LI² to the energy stored in an inductor.
- Derive the expression U = ½LI² for the potential energy stored in an inductor by considering the work done on charges.
- solve problems using the formulae for the combined inductance of two or more inductors in series and in parallel
- solve problems involving circuits with resistors, inductors, and sources of constant e.m.f. (includes solving first-order differential equations) [RL series circuits with constant e.m.f. source]
- solve problems involving circuits with inductors and capacitors only (includes solving second-order differential equations) [LC series circuits without e.m.f. source]
- solve problems involving circuits with resistors, inductors and capacitors only (candidates are not expected to solve the general second-order differential equations, though they can be asked to verify and use particular solutions). [RLC series circuits without e.m.f. source]
- discuss qualitatively the results of the Michelson–Morley interferometer experiment and its implications on the ether theory (knowledge of the details of the experiment is not required)
- state the postulates of the special theory of relativity, that in all inertial frames, the laws of physics are the same and the speed of light in free space is the same regardless of the motion of the light source or observer
- appreciate the failure of Galilean transformation equations when applied to a moving source of light
- discuss the concept of simultaneity
- show an understanding of the terms proper time and proper length
- apply the Lorentz transformation equations to solve one-dimensional problems
- Derive the time dilation formula and the length contraction formula, making use of the Lorentz factor.
- apply the time dilation formula and the length contraction formula in related situations (e.g. the lifetime of fast-moving muons) or to solve problems
- use the one-dimensional relativistic velocity addition formula to calculate velocities in different inertial frames or to solve problems
- Apply the relativistic energy–momentum relation E² = (pc)² + (mc²)² to solve problems, including selecting its limiting form.
- Show that E² = (pc)² + (mc²)² reduces to E = pc for massless particles and to E = mc² + ½mv² at low speeds.
Welcome to the H3 Physics portal for GCE A Level H3 Physics (9814).
Use this hub to keep the additional H3 syllabus separate from prerequisite H2 material. Each maintained topic route combines explanation, derivation, worked reasoning and a later independent check.
Who this is for: students already fluent in H2 mechanics, waves, fields, and modern physics.
Prerequisite: strong foundation in H2 Physics.
Focus: independent learning, mathematical rigour (including calculus), and cross-topic transfer.
Study route: begin with the five course topics below. Use optional older notes only for enrichment after the examined content is secure.
Course topics
Additional H3 subject content
Frames of Reference
Reference and inertial frames, Galilean transformations and Centre-of-mass frame and collisions. Use the linked explanations, worked methods and practice to connect these ideas.
Rotational Motion
Angular kinematics, Angular momentum, inertia and torque and Rotational energy and rolling. Use the linked explanations, worked methods and practice to connect these ideas.
Electric and Magnetic Fields
Electrostatic equilibrium in conductors, Gauss’s and Ampère’s laws and Electric and magnetic dipoles. Use the linked explanations, worked methods and practice to connect these ideas.
RLC Circuits
Self- and mutual inductance, Dielectric and ferromagnetic response and Inductor energy and RL, LC, RLC behaviour. Use the linked explanations, worked methods and practice to connect these ideas.
Special Relativity
Michelson–Morley result and relativity postulates, Simultaneity, Lorentz transformations, time and length and Relativistic velocity and energy–momentum. Use the linked explanations, worked methods and practice to connect these ideas.
Paper Map (9814)
| Section | Type | Duration | Marks | Weighting |
|---|---|---|---|---|
| Section A | Compulsory structured questions (incl. stimulus-based) | — | 60 | 60% |
| Section B | Longer structured questions (Choose 2 of 3) | — | 40 | 40% |
| Total | One Paper | 3 h | 100 | 100% |
Mathematical Requirements
H3 Physics requires a higher level of mathematics than H2, including:
- Calculus: differentiation (product/chain rule) and integration (definite/indefinite, surface/volume integrals for symmetric distributions).
- Differential Equations: solving first-order and simple second-order linear differential equations.
- Vectors: scalar (dot) and vector (cross) products.
Useful Resources
Review
Review: H3 Physics 9814
Cumulative review of previously studied course topics.
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Review
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Course and syllabus information
- Course
- GCE A-Level H3 Physics
- Edition
- GCE A-Level H3 Physics 2027