H3 Physics course check
Answer 6 questions across H3 Physics and see which topics to work on next.
Learning goals
- Solve one-dimensional collisions using velocities relative to the centre of mass
- Use time dilation and length contraction, for example for the lifetime of fast-moving muons
- Calculate the combined inductance of inductors in series and in parallel
- Explain qualitatively how a ferromagnetic core increases inductance, non-linearly near saturation
- Solve problems on RLC series circuits without an e.m.f. source by verifying and using given solutions
- State that a frame of reference is a set of coordinates for locating the positions and times of events
- Explain why the Galilean transformation fails for a moving light source
- Calculate the moment of inertia of simple bodies about an axis, using calculus or the parallel-axis theorem
- Use relativistic velocity addition to find velocities in different inertial frames
- Define electric dipole moment as charge × separation
- Explain that charge collects on a conductor's surface and the electric field there is normal to the surface
- Explain that Newton's laws of motion hold in every inertial frame of reference
- Explain that an ideal conductor is an equipotential volume with zero electric field inside
- Define the magnetic dipole moment of a current loop as current × loop area
- Solve RL series circuits with a constant e.m.f. using first-order differential equations
- Use torque as the rate of change of angular momentum to solve problems, including bodies with a changing moment of inertia such as an ice-skater
- State the two postulates of special relativity: the laws of physics and the speed of light in free space are the same in every inertial frame
- Recall and apply Gauss's law for electric and magnetic fields
- Recall and use the Galilean transformation to relate observations in different inertial frames
- Explain proper time and proper length
- Recall and apply Ampère's law to find the magnetic field of symmetric current configurations
- Treat rigid-body motion as translation of the centre of mass plus rotation about it, including rolling without slipping with F ≤ µN
- Solve LC series circuits without an e.m.f. source using second-order differential equations
- Discuss the relativity of simultaneity
- Explain that the centre-of-mass (zero-momentum) frame is the inertial frame in which a system's total momentum is zero
- Use the torque on and potential energy of a magnetic dipole to solve problems
- Use Gauss's law to relate electric flux through a closed surface to the enclosed charge, and explain why zero magnetic flux through it suggests there are no magnetic monopoles
- Use angular momentum and moment of inertia for a rotating rigid body
- Discuss the result of the Michelson–Morley experiment and what it means for the ether theory
- Describe mutual inductance as a circuit's tendency to oppose a change of current in a nearby circuit
- Explain qualitatively how a dielectric increases capacitance and why a strong enough field causes dielectric breakdown
- Define self-inductance as induced e.m.f. per unit rate of change of current, and use V = L dI/dt
- Use the torque on and potential energy of an electric dipole to solve problems
- Solve problems with the equations of motion for uniform angular acceleration
- Use angular displacement, angular velocity and angular acceleration for a rigid body rotating about a fixed axis
- Use the Lorentz transformation to solve one-dimensional problems
- Explain that electric and magnetic dipoles behave analogously, while the theory at this level admits no magnetic monopoles.
- 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.
- 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.
- Derive the time dilation formula and the length contraction formula, making use of the Lorentz factor.
- 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.
Course check
Start here to see which parts you already know.
About 15 minutes
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Paper instructions
This shows what to work on next and doesn’t count towards your course progress.
- Question count is checked before you start.
- Feedback appears after you finish and submit.
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Beyond the syllabus: optional enrichment that does not count towards your progress.
H3 Physics targeted foundation repair
A text-first targeted review path.
About 10 minutes
Review the lesson explanation and worked examples, then return to the formative check when you are ready.