⚛️ IGCSE Physics Formula Sheet 2025

Complete Cambridge IGCSE Physics (0625) Formula Reference Guide

Cambridge IGCSE Physics 0625

Essential IGCSE Physics Formulas

Master your IGCSE Physics exams with our comprehensive formula sheet covering all essential formulas for Cambridge IGCSE Physics (0625). This reference guide includes mechanics, thermal physics, waves, electricity, magnetism, nuclear physics, and space physics.

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CIE IGCSE Physics Formula Sheet (2025 Syllabus)

Complete formula reference for Cambridge IGCSE Physics (0625)

Chapter 1: General Physics

Average speed (ms⁻¹) = distance (m) / time (s)
s = d/t
Average velocity (ms⁻¹) = displacement (m) / time (s)
v = x/t
Acceleration (ms⁻²) = (final velocity (ms⁻¹) - initial velocity(ms⁻¹)) / time (s)
a = (v-u)/t
Weight (N) = mass (kg) × gravitational field strength (ms⁻²)
W = mg
Earth's gravitational field strength = 9.8 ms⁻² (as of 2023)
g = 9.8 ms⁻²
Force (N) = mass (kg) × acceleration (ms⁻²)
F = ma
Density (kgm⁻³) = mass (kg) / volume (m³)
ρ = m/V
Hooke's law: Force (N) = constant (Nm⁻¹) × extension (m)
F = kx
Pressure (Pa) = Force (N) / area (m²)
P = F/A
Fluid Pressure (Pa) = density (kgm⁻³) × gravitational field strength (ms⁻² or Nkg⁻¹) × height (m)
P = ρgh
Work (J) = force (N) × distance moved (m)
W = Fd
Power (W) = work (J) / time (s)
P = W/t
Kinetic Energy (J) = ½ × mass (kg) × velocity² (ms⁻¹)
KE = ½mv²
Gravitational potential energy (J) = mass (kg) × gravitational field strength (ms⁻² or Nkg⁻¹) × height (m)
GPE = mgh
Efficiency (%) = (useful power output (W or J) / total power input (W or J)) × 100%
η = (P_out / P_in) × 100%
Moment (Nm) = Force (N) × perpendicular distance from pivot (m)
M = Fd
Sum of clockwise moments (Nm) = sum of anticlockwise moments (Nm)
F₁d₁ = F₂d₂
Momentum (kgms⁻¹) = mass (kg) × velocity (ms⁻¹)
p = mv
Impulsive Force (N) = change in momentum (kgms⁻¹) / time (s)
F = Δp/t
Impulse (kgms⁻¹ or Ns) = change in momentum (kgms⁻¹)
Δp = mv - mu

Chapter 2: Thermal Physics

Boyle's Law for changes in gas pressure at constant temperature: pressure₁ (Pa) × volume₁ (m³) = pressure₂ (Pa) × volume₂ (m³)
P₁V₁ = P₂V₂
Energy (J) = mass (kg) × specific heat capacity (Jkg⁻¹°C⁻¹) × temperature change (°C)
Q = mcθ
Celsius to Kelvin:
C = K - 273.15

Chapter 3: Waves

Wave speed (ms⁻¹) = frequency (Hz) × wavelength (m)
V = fλ
Frequency (Hz) = 1 / Period (s)
F = 1/T
Refractive index = sine of the angle of incidence, i / sine of the angle of refraction, r
n = sin i / sin r
Refractive index = speed of light in vacuum / speed of light in material
n = c/v
Refractive index = 1 / sine of critical angle
n = 1/sin c

Chapter 4: Electricity and Magnetism

Current (A) = charge (C) / time (s)
I = Q/t
Voltage (V) = energy transferred (J) / charge (C)
V = W/Q
Voltage (V) = current (A) × resistance (Ω)
V = IR
Power (W) = current (A) × voltage (V)
P = IV
Power (W) = current² (A) × resistance (Ω)
P = I²R
Energy transferred (J) = current (A) × voltage (V) × time (s)
W = IVt
Energy transferred (J) = power (W) × time (s)
W = Pt
Resistors in series: Total Resistance (Ω) = sum of individual resistors (Ω)
R_total = R1 + R2 + R3 + ... Rn
Resistors in parallel: 1 / total resistance (Ω) = 1 / sum of individual resistors (Ω)
1/R_total = 1/R1 + 1/R2 + ... + 1/Rn
Resistance (Ω) = resistivity (Ωm) × length (m) / area (m²)
R = ρL/A
Wires have a circular cross section: area = π × radius²
A = πr²
Transformers (Voltage and Turns): voltage in secondary coil (V) / voltage in primary coil (V) = turns on secondary coil / turns on primary coil
Vs/Vp = Ns/Np
Transformers (Voltage and Current): voltage in secondary coil (V) / voltage in primary coil (V) = current in secondary coil (A) / current in primary coil (A)
Vs/Vp = Is/Ip

Chapter 5: Nuclear Physics

Alpha decay example: ²³⁸U₉₂ → ²³⁴Th₉₀ + ⁴He₂
ᴬZ X → ᴬ⁻⁴Z⁻² Y + ⁴He₂
Beta decay example: ²³⁴Th₉₀ → ²³⁴Pa₉₁ + ⁻¹e₀
ᴬZ X → ᴬZ⁺¹ Y + ⁻¹e₀
Gamma decay:
ᴬZ X → ᴬZ Y + γ

Chapter 6: Space Physics

Average orbital speed (ms⁻¹) = 2 × π × average radius of the orbit (m) / orbital period (s)
v = 2πr/T
Hubble's Law: distance of a far galaxy (m) / speed away from us (ms⁻¹) = 1 / Hubble Constant (s⁻¹)
d/v = 1/H₀
Hubble Constant = 2.2 × 10⁻¹⁸ s⁻¹
H₀ = 2.2 × 10⁻¹⁸ s⁻¹

📚 How to Use This Formula Sheet

🎯

Practice Regularly

Use these formulas in practice problems to build muscle memory and confidence for your exams.

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Understand, Don't Memorize

Learn the logic behind each formula rather than just memorizing. This helps in problem-solving.

Time Management

Know which formulas to apply quickly during exams. Practice identifying formula patterns in questions.

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Review Consistently

Regular revision of formulas ensures they stay fresh in your memory when you need them most.

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