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25. The impedances, in ohms, of a three-phase star-eonnected load are; $$\mathbf{Z}_{1}=10+j 0 ; \mathbf{Z}_{2}=10+j 5$$; $$\mathbf{Z}_{3}=5-j 10$$. The load is connected to a three phase $$50-\mathrm{Hz}$$ supply having a balanced line voltage of $$440 \mathrm{~V}$$. Calculate the reading of single-phase wattmeter which has its current coil in line 1 and its voltage coil between lines $$I$$ and 3. Assume the phase sequence to be $$1,2,3$$. Draw a vector diagram showing the relationships of the voltages and currents. [11.75 kW] (London Univ.)

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To solve this problem, you can use the formula for complex power in a three-phase system: S = (V1I1* + V2I2* + V3I3*) / 3 where V1, V2, and V3 are the
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