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# Answer to Question #168245 in Electrical Engineering for AREN BENJAMIN

Question #168245

The load connected between each line and the neutral of a 415 volts, 50hertz 3 phase Circuit consist of a capacitor of 31.8 micro ferad in series with a resistor of 100 ohms. CALCULATE the line current and the Total Power.

1
2021-03-08T03:08:42-0500

Resistance, "R=100\\Omega"

Capacitance, "C=31.8\\mu F"

Line Voltage, "V_L=415V"

Frequency of AC supply, "f=50Hz"

Impedance, "Z=\\sqrt{R^2+(\\dfrac{1}{2\\pi fC})^2}"

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"V_{Ph}=\\dfrac{V_L}{\\sqrt{3}}=\\dfrac{415}{\\sqrt{3}}=239.60\\space V"

Power factor, "cos\\phi=\\dfrac{R}{Z}=0.706"

"I_{Ph}=\\dfrac{V_{Ph}}{Z_{Ph}}=1.69\\space A"

Line Current, "I_{L}=I_{Ph}=1.69\\space A"

Total Power absorbed , "P_{total}=3\\times I_{Ph}^2\\times R_{Ph}=3\\times 286.72=860.16\\space W"

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