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Determine the total power consumed by a three-phase delta connected system supplied by a line voltage of 230 V when the value of phase curr…

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Determine the total power consumed by a three-phase delta connected system supplied by a line voltage of 230 V when the value of phase current is 15 A and the current lags the voltage by 60 degree
  • A5.18 kW
  • B2.98 kW
  • C8.96 kW
  • D7.32 kW
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CCommunity
Given that, line voltage (VL) = 230 V

Phase current (Iph) = 15 A

For delta connection, $({I_L} = \sqrt 3 {I_{ph}} = 15\sqrt 3 \;A)$

Phase difference (?) = 60°

Total power $(P = \sqrt 3 {V_L}{I_L}\cos \phi = \sqrt 3 \times 230 \times 15 \times \sqrt 3 \times \cos 60 = 5.175\;kW)$