In a house there is a three-wire system configured as follows: A refrigerator with an impedance of (10 + j 10) Ω is connected to line L1 and to a neutral. And to line L2 and neutral all the lighting in the house consisting of 10 luminaires of 20 W each.  In addition, there is a 240 V dryer that consumes 8 kW connected between the two lines. Calculate current in line L1, line L2 and neutral total power consumed

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In a house there is a three-wire system configured as follows: A refrigerator with an impedance of (10 + j 10) Ω is connected to line L1 and to a neutral. And to line L2 and neutral all the lighting in the house consisting of 10 luminaires of 20 W each.  In addition, there is a 240 V dryer that consumes 8 kW connected between the two lines.

Calculate

  1. current in line L1, line L2 and neutral
  2. total power consumed

Problem was Initially stated in spanish, i will add it in case it works.

En una vivienda se tiene un sistema trifilar configurado de la siguiente
manera. Se tiene conectada a la línea L1 y a neutro una refrigeradora con impedancia de (10 + j 10)
Ω y a la línea L2 y neutro toda la iluminación de la casa consistente en 10 luminarias de 20 W cada
una. Además, se tiene una secadora a 240 V que consume 8 kW. Calcule a) corriente de la línea L1 y
de la línea L2 y de neutro b) potencia total consumida. 

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