* Higher tier only
^ Separate Physics only
Unit 3: Particle Model of Matter
Equations to Learn
density = mass
volume
𝜌 = 𝑚
𝑉
Equations given in the exam
change in thermal energy = mass ×
specific heat capacity × temperature change
𝛥𝐸 = 𝑚𝑐𝛥𝜃
thermal energy for a change in state =
mass × specific latent heat
𝐸 = 𝑚𝐿
^ for a gas: pressure × volume = constant
𝑝𝑉
= 𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡
Unit 6: Waves
Equations to Learn
wave speed = frequency wavelength
𝑣 = 𝑓 𝜆
Equations given in the exam
time period = 1
frequency
𝑇 = 1
𝑓
^ magnification = image height
object height
𝑀 = ℎ𝑖𝑚𝑎𝑔𝑒
ℎ𝑜𝑏𝑗𝑒𝑐𝑡
Unit 7: Magnetism and Electromagnetism
Equations given in the exam
* Force = magnetic flux density current
length of conductor in magnetic field
𝐹 = 𝐵𝐼𝑙
∗potential difference across primary coil
potential difference across secondary coil =
number of turns in primary coil
number of turns in secondary coil
𝑉𝑃
𝑉
𝑆
= 𝑁𝑃
𝑁𝑆
* ^ p.d across primary current in primary =
p.d. across secondary x current in secondary
𝑉𝑃𝐼𝑃= 𝑉
𝑆𝐼𝑆
Unit 5: Forces
Equations to Learn
weight = mass × gravitational field strength
𝑊 = 𝑚 𝑔
work done = force × distance
(moved along the line of action of the force)
𝑊 = 𝐹𝑠
force = spring constant extension
𝐹 = 𝑘𝑒
moment of a force = force distance
(perpendicular to the direction of the force)
𝑀 = 𝐹𝑑
pressure = force normal to a surface
area of that surface
𝑝 = 𝐹
𝐴
distance travelled = speed time
𝑠 = 𝑣𝑡
acceleration = change in velocity
time taken
= final velocity-initial velocity
time taken
𝑎 = Δ𝑣
𝑡
= 𝑣 − 𝑢
𝑡
resultant force = mass acceleration
𝐹 = 𝑚𝑎
* momentum = mass velocity
𝑝 = 𝑚𝑣
Equations given in the exam
* ^ Pressure = height of column density of
liquid gravitational field strength
𝑝 = ℎ 𝜌 𝑔
^ (final velocity)2 – (initial velocity)2 =
2 acceleration distance
𝑣2− 𝑢2
= 2𝑎𝑠
* ^ Force = change in momentum
time taken
𝐹 = 𝑚 Δ𝑣
𝑡
Unit 4: Atomic Structure & Unit 8: Space
There are no equations in these sections of the course
Unit 1: Energy
Equations to Learn
kinetic energy = 1
2 × mass × speed2
EK = 1
2mv2
GPE = mass × gravitational field strength × height
𝐸𝑃=𝑚𝑔ℎ
power = work done
time taken = energy transferred
time taken
𝑃 = 𝑊
𝑡=𝐸
𝑡
efficiency = useful energy output
total energy input
efficiency = useful power output
total power input
Equations given in the exam
elastic potential energy = 0.5 × spring constant x
(extension)2
𝐸𝑒=1
2𝑘𝑒2
change in thermal energy = mass ×
specific heat capacity × temperature change
𝛥𝐸 = 𝑚𝑐𝛥𝜃
Unit 2: Electricity
Equations to Learn
charge flow = current × time
𝑄 = 𝐼 𝑡
potential difference = current × resistance
𝑉 = 𝐼 𝑅
total resistance = resistance of component 1 +
resistance of component 2
𝑅𝑇
= 𝑅1+ 𝑅2
power = current × potential difference
𝑃 = 𝐼 𝑉
power = (current)2 × resistance
𝑃 = 𝐼2𝑅
energy transferred = power × time
𝐸 = 𝑃𝑡
energy transferred = charge flow ×
potential difference
𝐸 = 𝑄𝑉
AQA GCSE Physics – Equations & Formulae (specification 8463 & 8464)