Ohm's Law
Ohm's Law is the fundamental relationship in electrical circuits. It states that the current through a conductor is directly proportional to the voltage across it and inversely proportional to the resistance.
Core Formulas
| Find | Formula | Variables |
|---|---|---|
| Voltage | V = I × R | V (volts), I (amps), R (ohms) |
| Current | I = V / R | |
| Resistance | R = V / I |
Electrical Power
Power is the rate of energy transfer. In DC circuits, power equals voltage times current. Combined with Ohm's Law, power can be expressed three ways:
| Formula | Known Values | Use When |
|---|---|---|
| P = V × I | Voltage, Current | Both V and I are known |
| P = I² × R | Current, Resistance | Voltage unknown |
| P = V² / R | Voltage, Resistance | Current unknown |
Common Examples
| Scenario | V | I | R | P |
|---|---|---|---|---|
| LED with resistor | 5V | 20mA | 250Ω | 0.1W |
| Car headlight | 12V | 4.6A | 2.6Ω | 55W |
| USB charging | 5V | 2.4A | 2.08Ω | 12W |
| Space heater | 120V | 12.5A | 9.6Ω | 1,500W |
| EV charger (L2) | 240V | 30A | 8Ω | 7,200W |
SI Prefixes for Electrical Units
| Prefix | Symbol | Factor | Example |
|---|---|---|---|
| Mega | M | 10⁶ | 1 MΩ = 1,000,000 Ω |
| Kilo | k | 10³ | 4.7 kΩ = 4,700 Ω |
| Milli | m | 10⁻³ | 20 mA = 0.020 A |
| Micro | μ | 10⁻⁶ | 100 μA = 0.0001 A |
Safety Notes
- Household circuits: US standard is 120V/15A (1,800W max) or 120V/20A (2,400W max) per circuit
- Wire sizing: Higher current requires thicker wire — use our Voltage Drop Calculator for wire sizing
- Circuit breakers: Should be rated for 80% of max continuous load (e.g., 15A breaker → 12A continuous)
- Never exceed ratings: Overloading circuits causes overheating, wire damage, and fire risk