find the expression for power factor Share with your friends Share 1 Ujjval Chauhan answered this Dear student In alternating current theory let V=Vosinωti=iosinωt-θso power is given by P=ViP=Voiosinωtsinωt-θP=Voiosin2ωtcosθ-sin2ωt2sinθtaking time averageP=Voiosin2ωtcosθ-sin2ωt2sinθbut sin2ωt=12 and sin2ωt=0 so P=12VoiocosθP=Vo2io2cosθP=VrmsirmscosθP=Pvirtual×cosθwhere Vrms=Vo2 and =io2 and Pvirtual=Vrmsirms cosθ is called the power factor.cosθ=PPvirtual=RZ=RR2+X2as tanθ=RXwhere X is the reactance and Z is the impedance of the circuit. 0 View Full Answer Shivam Swami answered this it is a vector quantity and its dimention formulae is M1L2T-3 0
