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

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

220 V ACAC voltage is supplied to a circuit consisting of a resistance of 4 Omega4 Omega and inductive reactance of 3 Omega3 Omega. Find the current and power factor in the circuit?