60 Hz power supply provides power to an electric network. The voltage across a p

Question

60 Hz power supply provides power to an electric network. The voltage across a particular section of this network is v(t) = 169 sin (wt + 15 degree ) volts and the current through this same section is i(t) = 75 sin (w t + 72 degree ) amperes. Determine the following: Effective voltage across the particular network section? Effective current through the particular network section? Equivalent impedance of the particular network section, including its equivalent R, L, and/or C components)? Power factor of the particular network section? Equivalent power diagram of the particular network section?

Explanation / Answer

a)effective voltage= rms value(DC equivalent)=169/sqrt2=119.5 V b)effective current=75/sqrt2=53.03 A c)|Z|=V/I=2.25 ohms power factor= Kw/Kva=60/(119.5*53.03)=9.5*10^-3

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