# A Balanced 3 Phase Star Connected Load Consists of Three Coils Each Consisting of R=6ω and 𝑿𝑳= 8ω . Determine the Line Current , Power Factor When the Load is Connected Across 400v, 50hz, Supply - Basic Electrical and Electronics Engineering

Sum

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

#### Solution

R= 6Ω 𝑋𝐿 = 8Ω V=400V f=50Hz
1) Power factor
overline(Z_(ph))= 𝑅 + 𝑗𝑋𝐿 = 6 + j8 = 10∠53.13°
overline(Z_(ph)) = 10Ω
𝜑 = 53.13°
Pf = cos 𝜑 = 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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