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An industrial customer is fined if the power factor of the plant falls below 0.85. The...

An industrial customer is fined if the power factor of the plant falls below 0.85. The equivalent loads of the plant are: 30 lamps of 400 W, an Electric Oven with an impedance of (2.4 + j3.2)  and a load of 80 kW due to an engine block. The three charges are in parallel. Induction motors have a power factor of 0.8 and a performance of 0.98. The customer has a 600V, 60Hz supply.

a) Calculate the average power and total reactive power.
b) Size the necessary condenser that is required so that the client is not fined.
c) As a consequence of installing the capacitor calculated in b), say if the network is released with respect to the total load. In how many amps is the network released?

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