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# Answer to Question #137475 in Electrical Engineering for Christine Genny

Question #137475
A balanced delta connected load is supplied from a 220V, 60Hz source thru a line with impedance of 0.5 + j0.8 ohm. If the power consumed by the load is 3 KW at 0.8 power factor leading. Determine the line currents and phase currents in phasor form. CBA Sequence
1
2020-10-08T15:13:04-0400

Since it is necessary to find currents in the phase form, then to begin with we find the phase current through the ratio "I_{phasor}=\\frac U z" , where "U" is the voltage, "z" is the impedance, the voltage in the phase form "U = 220\\times e ^ {j\\times 0}" ;

impedance in phase form "z = \\sqrt {0.89 }\\times e ^ {j\\times atan (\\frac 8 5)}" therefore

"I_{phasor}=\\frac {220\\times e^{j\\times 0}} {\\sqrt {0.89}\\times e^{j\\times atan(\\frac 8 5)}}=123.6-j \\times 197.75" A;

Since the phase current and the linear are related by the relation "I_{line}=I_{phasor}\\times \\sqrt {3}" , then

"I_{line}=(123.6-j \\times 197.75) \\times \\sqrt{3}" "=214.08-j \\times 342.51" A.

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