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Equations handout (both)

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IGCSE Physics (0625 Cambridge Assessment Interna�onal Educa�on 2023-25 Syllabus)
Speed ***
Average speed ***
v =
average speed =
Accelera�on
g=
Density ***
ρ=
Spring constant
k=
Moment ***
Δv
Δt
W
m
m
V
v=fλ
1
f=
T
Refrac�ve index (from angles)
n = sin i
sin r
Refrac�ve index (from cri�cal angle)
n= 1
sin c
Refrac�ve index
n=
speed in air
speed in medium
Block - 4 Electricity & Magne�sm
Current
F
x
M = Fd
Force
Frequency
total distance travelled
total time taken
a =
gravita�onal field strength ***
Wave speed ***
s
t
Q
t
Poten�al difference
V= W
Q
Electromo�ve force
E= W
Q
F1d1 = F2d2
F = ma
I=
Momentum
p = mv
Resistance ***
R=
Impulse
FΔt = Δ (mv)
Electrical power ***
P = IV
Power loss
P = I2R
Resultant force
F=
Δp
Δt
V
I
Kine�c energy
Ek = ½mv2
Energy transferred ***
ΔE = IVt
Gravita�onal poten�al energy
ΔEp = mg Δh
Resistors in series ***
RTOTAL = R1+R2
Work done ***
W = Fd = ΔE
Efficiency
Power (from work) ***
Power (energy transfer) ***
Pressure ***
Pressure (beneath the surface of a liquid)
(%) efficiency =
(useful energy output)
(total energy input)
x 100%
(%) efficiency =
(useful power output)
(total power input)
x 100%
P=
W
t
P = ΔΕ
t
p=
F
A
Δp = ρg Δh
Block 2 - Thermal Physics
Boyle’s Law for changes in gas pressure
Specific heat capacity
Temperature conversion ***
p1V1 = p2V2
or
pV = constant
c = ΔΕ
mΔθ
T (in K) = θ (in °C) + 273
Resistors in parallel
1
1
1
RTOTAL = R1 + R2
Resistance
( Note: since wires have a circular cross sec�on, A = πr2 or A = 1/4 πd2 )
R∝
l
A
Transformers ***
Vp
Np
=
Ns
Vs
Transformers: for 100% efficiency
I p Vp = I s V s
Poten�al divider
R1
V
= 1
R2
V2
Block 5 - Nuclear & Atomic Physics
Block 6 -Space & Astronomy
Average orbital velocity
v = 2πr
T
Hubble constant
H0 = v
d
CORE students only need equa�ons labelled with ***
This version: DM Sept'23
Block 3 - Waves, light & sound
Block 1 - General Physics
IGCSE Coordinated Physics (0654 CAIE 2022-24 Syllabus)
Speed ***
Average speed ***
Accelera�on
average speed =
acceleration
Weight ***
Density ***
=
total distance
total time
Wave speed (extended content for Coordinated Science)
Frequency
change in velocity
total time
n = sin i
sin r
Refrac�ve index (from cri�cal angle)
n= 1
sin c
W = mg
Refrac�ve index
m
V
n=
speed in air
speed in medium
Block - 4 Electricity & Magne�sm
Current
F = kx
F = ma
I=
Q
t
Poten�al difference
V= W
Q
Electromo�ve force
E= W
Q
Moment = force x perpendicular distance
Force
v=fλ
1
f=
T
Refrac�ve index (from angles)
ρ=
Hooke's Law
Moment ***
distance
time
speed =
Momentum
p = mv
Resistance ***
R=
Impulse
FΔt = Δ (mv)
Electrical power (extended content for Coordinated Science)
P = IV
Power loss
P = I2R
Resultant force
F=
Δp
Δt
V
I
Kine�c energy
KE = ½mv2
Energy transferred (extended content for Coordinated Science)
ΔE = IVt
Gravita�onal poten�al energy
ΔGPE = mg Δh
Resistors in series ***
RTOTAL = R1+R2
Work done (extended content for Coordinated Science)
W = Fd = ΔE
Efficiency
Power (from work) ***
Power (energy transfer) (extended content for Coordinated Science)
Pressure (extended content for Coordinated Science)
Pressure (beneath the surface of a liquid)
(%) efficiency =
(useful energy output)
(total energy input)
x 100%
(%) efficiency =
(useful power output)
(total power input)
x 100%
P=
W
t
P = ΔΕ
t
p=
F
A
Δp = ρg Δh
Block 2 - Thermal Physics
Boyle’s Law for changes in gas pressure
Specific heat capacity
Temperature conversion ***
p1V1 = p2V2
or
pV = constant
c = ΔΕ
mΔθ
T (in K) = θ (in °C) + 273
Resistors in parallel
1
1
1
RTOTAL = R1 + R2
Resistance
( Note: since wires have a circular cross sec�on, A = πr2 or A = 1/4 πd2 )
R∝
l
A
Transformers (extended content for Coordinated Science)
Vp
Np
=
Ns
Vs
Transformers: for 100% efficiency
I p Vp = I s Vs
Poten�al divider
R1
V
= 1
R2
V2
Block 5 - Nuclear & Atomic Physics
Block 6 -Space & Astronomy
Average orbital velocity
v = 2πr
T
Hubble constant
H0 = v
d
CORE students only need equa�ons labelled with ***
This version: DM Sept'23
Block 3 - Waves, light & sound
Block 1 - General Physics
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