GCSE Physics Equations

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GCSE Physics Equations by Exam Board

This includes all major exam boards – AQA, Edexcel and OCR. There are some minor differences between exam boards and so you can access complete equation lists for each at the below links.

AQA Combined Science Trilogy/Synergy Physics Equations Sheet

AQA Physics Equations Sheet

Edexcel Combined Science Physics Equations Sheet

Edexcel Physics Equations Sheet

OCR Combined Science Physics A Equation Sheet

OCR Combined Science B Equation Sheet

OCR Physics A Equation Sheet

OCR Physics B Equation Sheet

Complete list of all GCSE Physics Equations

Below is a complete list of all of the GCSE Physics Equations that you could need during your exams.

Efficiency = useful power output / total power input
Period = 1 / frequency
Magnification = image height / object height
Wave speed = frequency × wavelength
Energy transferred = power × time
Efficiency = useful energy transferred / total energy transferred
Charge [flow] = current × time
Potential difference = current × resistance
Potential difference = work done (energy transferred) / charge [flow]
Energy transferred (work done) = charge [flow] × potential difference
Power = potential difference × current
Power = (current)² × resistance
HT force = magnetic flux density × current × length of conductor
HT potential difference across primary coil × current in primary coil = potential difference across secondary coil × current in secondary coil
HT potential difference across primary coil / potential difference across secondary coil = number of turns in a primary coil / number of turns in secondary coil
Weight = mass × gravitational field strength
Average speed = distance / time
Acceleration = change in speed / time taken
(final speed)² – (initial speed)² = 2 × acceleration × distance
HT momentum = mass × velocity
HT change in momentum = resultant force × time for which it acts
Moment of a force = force × distance (normal to direction of the force)
Force = mass × acceleration
Work done = force × distance (along the line of action of the force)
Kinetic energy = 0.5 × mass × (speed)²
Gravitational potential energy = mass × gravitational field strength × height
Change in internal (thermal) energy = mass × specific heat capacity × change in temperature
Energy to cause a change of state = mass × specific latent heat
Force exerted by a spring = extension × spring constant
Energy stored in a stretched spring = 1/2 × spring constant × (extension)²
Pressure = force normal to a surface / area of that surface
For gases: pressure × volume = constant (for a given mass of gas and at a constant temperature)
HT pressure due to a column of liquid = height of column × density of liquid × gravitational field strength
Energy transferred = current × voltage × time
Refractive index = sin(angle of incidence) / sin(angle of refraction)
Sin(critical angle) = 1 / refractive index
Efficiency = useful energy output/total energy output x 100%
Pressure / temperature = constant
Orbital speed = 2 x π x orbital radius / time period
Change in wavelength / reference wavelength = velocity of a galaxy / speed of light