Electricity & Magnetism
Electric Power
Power dissipated in circuit element.
Variables
PW
Power
Rate of energy transfer
In SI units: kg·m²/s³
Allowed values: greater than 0
IA
Current
Electric current
VV
Voltage
Potential difference
In SI units: kg·m²/(A·s³)
RΩ
Resistance
Electrical resistance
In SI units: kg·m²/(A²·s³)
Allowed values: 0 or more
Derivation
P = dW/dt = V(dq/dt) = VI. Use Ohm's law for other forms.
Your notes
0/5000
Check value
Round inputs run through this page's calculator. Use it to test your own working or a rearranged form. It is a test case, not a real-world example.
- I = 2 A (Current)
- V = 3 V (Voltage)
Result: P = 6 W
Other electricity & magnetism formulas with the same quantities
- Electric Current (Electric Circuits) shares Current
- Resistance (Electric Circuits) shares Resistance
- Capacitance (Capacitance) shares Voltage
- Capacitor Energy (Capacitance) shares Voltage
- RC Time Constant (Capacitance) shares Resistance
- Magnetic Force on Wire (Magnetism) shares Current
Where this formula is listed
- Electricity & Magnetism formulas, under Electric Circuits, alongside Resistors in Series, Resistors in Parallel, Kirchhoff's Voltage Law and Kirchhoff's Current Law.
- In the electricity & magnetism list it comes after Ohm's Law and before Electric Current.
- Electricity & Magnetism formula sheet, one of 48 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
Common questions
What is the Electric Power formula?
Electric Power is written P = IV = I²R = V²/R. Power dissipated in circuit element. It belongs to Electricity & Magnetism, under Electric Circuits.
What are the units in P = IV = I²R = V²/R?
In SI units, P is power, measured in kg·m²/s³; I is current, measured in A; V is voltage, measured in kg·m²/(A·s³); R is resistance, measured in kg·m²/(A²·s³).
How is the Electric Power formula derived?
P = dW/dt = V(dq/dt) = VI. Use Ohm's law for other forms. The result is P = IV = I²R = V²/R.
