220 V #AC# voltage is supplied to a circuit consisting of a resistance of #4 Omega# and inductive reactance of #3 Omega#. Find the current and power factor in the circuit?

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Answer 1 · 2018-01-12T08:39:56

The current is #=44A# and the power factoris #=0.6#

The resistance is #R=4Omega#

The inductive reactance is #X_L=3Omega#

The voltage is #U=220V#

The current is

#I=U/Z=U/sqrt(R^2+X_L^2)#

#=220/sqrt(4^2+3^2)=220/5=44A#

#Z=sqrt(4^2+3^2)=5Omega#

The power factor is

#=cosphi=R/Z=3/5=0.6#