Amps (A) to Watts (W) calculator and how to calculate
The SI unit of power P is Watts (W) while ampere (A) is the SI unit of electric current. To calculate power, in watts, you should multiply the voltage V, in volts (V) by the current I in amps (A).
P(W) = I(A) × V(V)
Therefore:
Watts (W) may be calculated by multiplying volts (V) by amps (A), as follows
Watt = amp × volt
Or
W = A × V
Example
Given that the current through an electrical circuit is 4A and the voltage across the circuit is 110V, calculate its power consumption in watts.
Solution
Power P = Current I × Voltage V
P = 110V × 3A = 440W
The actual power P in watts (W) for AC single phase amps is calculated by multiplying the root mean square (RMS) of voltage by the power factor PF and then multiplying the result by the phase current I.
P(W) = PF × I(A) × V(V)
Therefore:
Watts = Volts × the Power factor × amps
watt = PF × amp × volt or W = PF × A × V
Example
Calculate the Power Consumption in watts, given that the phase current is 4A, the RMS voltage is 110v and the power factor is 0.7.
Solution
Power P = power factor x the voltage in volts x current in amps
P = 0.7 × 4A × 110V = 308W
Calculating watts using the line to line voltage
The actual power P in this case, may be calculated by multiplying the phase current I, in amps (A), the power factor PF and the line to line RMS voltage VL-L, which should be in Volts (V). You should then multiply the result with the square root of 3.
P(W) = √3 × PF × I(A) × VL-L(V)
Therefore:
Watts = √3 × PF × Volts × Amps
Example
Work out the power consumption in an electrical system, in watts, given that the phase current in the circuit is 3A, the RMS voltage is 110V and the power factor is 0.8.
Solution
Power P =PF × A × V × √3
P = √3 × 0.8 × 3A × 110V = 457W
Using the line to neutral Voltage to calculate Watts
To calculate power in watts using the line to neutral voltage, the assumption is that the loads in the circuit are balanced. In that case, you calculate the power P by multiplying the power factor PF times the line to neutral RMS VL-O voltage, in Volts (V) and then multiplying the result by 3.
P(W) = 3 × PF × I(A) × VL-0(V)
Therefore:
Watts is equivalent to 3 times the amps (A) multiplied by the power factor (PF) multiplied by the volts (V)
Watt = 3 × PF × amp × volt
or
W = 3 × PF × A × V