Question
Download Solution PDFWhat is the active power consumed by a motor if the total power is 400 VA with 0.5 power factor?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The power triangle is as shown below.
P = Active power (or) Real power in W = Vrms Irms cos ϕ
Q = Reactive power in VAR = Vrms Irms sin ϕ
S = Apparent power in VA = Vrms Irms
S = P + jQ
\(S = \sqrt {{P^2} + {Q^2}} \)
ϕ is the phase difference between the voltage and current
Power factor \(\cos \phi = \frac{P}{S}\)
Calculation:
Apparent power (S) = 400 VA
Power factor = cos ϕ = 0.5
Actual power consumed = P
\(\cos \phi = \frac{P}{S}\)
⇒ P = 400 × 0.5 = 200 WLast updated on May 9, 2025
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