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⚡ Circuit-Wise

Quick Reference

Essential formulas, units, and reference tables for electrical fundamentals.

Ohm's Law

V = I × R

Variables

  • V = Voltage (Volts (V))
  • I = Current (Amperes (A))
  • R = Resistance (Ohms (Ω))

Example

If I = 2A and R = 5Ω, then V = 2 × 5 = 10V

I = V ÷ R

Variables

  • I = Current (Amperes (A))
  • V = Voltage (Volts (V))
  • R = Resistance (Ohms (Ω))

Example

If V = 12V and R = 4Ω, then I = 12 ÷ 4 = 3A

R = V ÷ I

Variables

  • R = Resistance (Ohms (Ω))
  • V = Voltage (Volts (V))
  • I = Current (Amperes (A))

Example

If V = 24V and I = 6A, then R = 24 ÷ 6 = 4Ω

Power Formulas

P = V × I

Variables

  • P = Power (Watts (W))
  • V = Voltage (Volts (V))
  • I = Current (Amperes (A))

Example

If V = 120V and I = 2A, then P = 120 × 2 = 240W

P = I² × R

Variables

  • P = Power (Watts (W))
  • I = Current (Amperes (A))
  • R = Resistance (Ohms (Ω))

Example

If I = 3A and R = 10Ω, then P = 9 × 10 = 90W

P = V² ÷ R

Variables

  • P = Power (Watts (W))
  • V = Voltage (Volts (V))
  • R = Resistance (Ohms (Ω))

Example

If V = 120V and R = 60Ω, then P = 14400 ÷ 60 = 240W

Common Electrical Units

Symbol Unit Measures
V Volt Voltage (electrical pressure)
A Ampere Current (flow of charge)
Ω Ohm Resistance (opposition to flow)
W Watt Power (rate of energy transfer)
Hz Hertz Frequency (cycles per second)
F Farad Capacitance (charge storage)
H Henry Inductance (magnetic storage)

Wire Color Codes (US NEC)

Color Function Notes
Black Hot (Line) Primary hot conductor
White Neutral Return path for current
Green Ground Equipment grounding conductor
Red Hot (second phase) Second hot in 240V circuits
Blue Hot (3-phase) Used in 3-phase systems

Common Residential Voltages

🇺🇸 United States

  • 120V — Standard outlets (lighting, small appliances)
  • 240V — Large appliances (dryer, oven, A/C)
  • 60 Hz — AC frequency

🇬🇧 United Kingdom / 🇦🇺 Australia

  • 230–240V — Standard outlets
  • 50 Hz — AC frequency

⚡ Safety Quick Rules

  1. Always de-energize before working. Use lockout/tagout (LOTO) procedures and verify zero energy with a tested meter.
  2. Treat every conductor as live until you personally verify it is de-energized with a reliable multimeter.
  3. Wear appropriate PPE. Insulated gloves, safety glasses, and arc-rated clothing matched to the hazard level.
  4. Never work alone on energized equipment. Always have a safety partner and know the location of the nearest emergency shutoff.
  5. Respect ampacity ratings. Never use undersized conductors or bypass fuses and breakers.

Common Formulas at a Glance

Formula Solves For Notes
V = I × R Voltage Ohm's Law
P = V × I Power Watt's Law
R_total = R₁ + R₂ + … Series Resistance Series circuits
1/R_total = 1/R₁ + 1/R₂ + … Parallel Resistance Parallel circuits
E = P × t Energy (kWh) P in kW, t in hours
f = 1 / T Frequency T = period in seconds

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