Equations – Part 2

Additional Common IGCSE Physics Equations #

Power Equation: #

P = E t

Where:

  • P = power (W or J/s)
  • E = energy (J)
  • t = time (s)

Example: #

A machine uses 1000 J of energy in 5 seconds.

Power = 1000 ÷ 5 = 200 W

Gravitational Potential Energy: #

GPE = m × g × h

Where:

  • GPE = gravitational potential energy (J)
  • m = mass (kg)
  • g = gravitational field strength (9.81 N/kg)
  • h = height (m)

Example: #

A 2 kg object is lifted 3 meters.

GPE = 2 × 9.81 × 3 = 58.86 J

Ohm’s Law: #

I = V R

Where:

  • V = voltage (V)
  • I = current (A)
  • R = resistance (Ω)

Example: #

A current of 2A flows through a 6Ω resistor.

Voltage = 2 × 6 = 12 V

Electrical Power: #

P = V × I

Where:

  • P = power (W)
  • V = voltage (V)
  • I = current (A)

Example: #

A device uses 230V and draws 2A.

Power = 230 × 2 = 460 W

Heat Energy: #

Q = m × c × ΔT

Where:

  • Q = heat energy (J)
  • m = mass (kg)
  • c = specific heat capacity (J/kg°C)
  • ΔT = temperature change (°C)

Example: #

2 kg of water (c = 4200 J/kg°C) is heated by 10°C.

Heat Energy = 2 × 4200 × 10 = 84,000 J

Wave Speed: #

v = f × λ

Where:

  • v = wave speed (m/s)
  • f = frequency (Hz)
  • λ = wavelength (m)

Example: #

A wave has frequency 5 Hz and wavelength 2 m.

Wave speed = 5 × 2 = 10 m/s

Efficiency: #

Efficiency = useful output energy total input energy × 100%

Where:

  • Efficiency is expressed as a percentage (%)
  • Both energies must be in the same unit (usually Joules)

Example: #

A machine has input energy of 1000 J and useful output of 800 J.

Efficiency = (800 ÷ 1000) × 100 = 80%

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