1.

In an A.C. circuit, voltage applied is V = 220 sin 100t. If the impedance is 110Omega and phase difference between current and voltage is 60^@, the power consumption is equal to ........

Answer»

<P>50 W
110 W
220 W
330 W

Solution :Comparing EQUATION V=220 sin 100t with
`V=V_m sin omegat`,
`V_m`=220
`|Z|=110 Omega`
`therefore I_m=V_m/"|Z|"=220/110`=2A
`delta=60^@ =pi/3` rad
`P=(V_mI_m)/2 COS delta =(220xx2)/2 cos 60^@`
`=(220xx2)/2 xx1/2`=110 W


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