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Sum

A balanced 3 phase star connected load consists of three coils each consisting of R=6Ω and πΏπ³= 8Ω . Determine the line current , power factor when the load is connected across 400V, 50Hz, supply

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#### Solution

R= 6Ω ππΏ = 8Ω V=400V f=50Hz

1) Power factor

`overline(Z_(ph))`= π
+ πππΏ = 6 + j8 = 10∠53.13°

`overline(Z_(ph))` = 10Ω

π = 53.13°

Pf = cos π = cos(53.13) = 0.600

Power factor = 0.600

2) Line current.

`V_(ph)=(V_L)/sqrt3=400/sqrt3=230.94V`

`I_(ph)=(V_(ph))/(Z_(ph))=(230.94)/10=23.094A`

`I_L=I_(ph)=23.09A`

Concept: Three Phase Current Generation

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