Energy & power calculation
AC power calculationDC power calculation
The average power P in watts (W) is equal to the energy consumed E in joules (J) divided by time period Δt in seconds (s):
P(W) = E(J) / Δt(s)
The voltage V in volts (V) is eqaul to the current I in amps (A) times the impedance Z in ohms (Ω):
V(V) = I(A) × Z(Ω) = (|I|×|Z|) ∠ (θI + θZ)
The complex power S in volt-amps (VA) is equal to the voltage V in volts (V) times the current I in amps (A):
S(VA) = V(V) × I(A) = (|V|×|I|) ∠ (θV - θI)
The real power P in watts (W) is equal to the voltage V in volts (V) times current I in amps (A) times the power factor (cos φ):
P(W) = V(V) × I(A) × cos φ
The reactive power Q in volt-amps reactive (VAR) is equal to the voltage V in volts (V) times the current I in amps (A) time the sine of the complex power phase angle (φ):
Q(VAR) = V(V) × I(A) × sin φ
The power factor (FP) is equal to the absolute value of the cosine of the complex power phase angle (φ):
PF = |cos φ|
Voltage (V) calculation from current (I) and resistance (R):
V(V) = I(A) × R(Ω)
Complex power (S) calculation from voltage (V) and current (I):
P(W) = V(V) × I(A) = V 2(V) / R(Ω) = I 2(A) × R(Ω)
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