Question #158826

An installation requires 35KW and operates at a power factor of 0.45 from a 400v 3 phase supply what is the current taken by installation at the normal power factor 0.45

current taken at power factor 0.75

current taken at power factor of 0.9


1
Expert's answer
2021-01-27T10:20:35-0500

the line to neutral (phase) voltage, VLN=400/3=230.94vV_{LN}=400/\sqrt{3}=230.94v

three phase power is 35Kw, single phase power =35/3=11.6667Kw=11666.7w=35/3=11.6667Kw=11666.7w

Current,I=power/(voltage×powerfactor)=11666.7/(230.94×0.45)=112.26ACurrent , I =power/(voltage \times powerfactor)=11666.7/(230.94\times0.45)=112.26A

current taken at power factor of 0.75=11666.7/(230.94×0.75)=67.36A=11666.7/(230.94\times 0.75)=67.36A

current taken at power factor of 0.9=11666.7/(230.94×0.9)=56.13A=11666.7/(230.94\times 0.9)=56.13A


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