See figure attached for problem statement as well as my attempt.
I'm having trouble finding the power dissapated across the transmission line.
I thought this would be,
\(P_{TL} = \sqrt{3}V_{L}I_{L}cos\phi, \quad \text{Where, } \quad cos\phi \quad \text{is the power factor across the transmission line}\)
Where VL and IL are the line voltage and current across the transmission line.
\(I_{L} = 150 \angle 36.87^{o}\)
\(V_{L} = I_{L} \cdot Z_{TL}\)
Where,
\(Z_{TL} = (2.5 + j10.2) \Omega\)
The solution gets the answer by doing the following,
\(Re \left{ 3 I_{L}^{2} \cdot Z_{TL} \right}\)
Can someone explain my confusion or clarify things?
I'm having trouble finding the power dissapated across the transmission line.
I thought this would be,
\(P_{TL} = \sqrt{3}V_{L}I_{L}cos\phi, \quad \text{Where, } \quad cos\phi \quad \text{is the power factor across the transmission line}\)
Where VL and IL are the line voltage and current across the transmission line.
\(I_{L} = 150 \angle 36.87^{o}\)
\(V_{L} = I_{L} \cdot Z_{TL}\)
Where,
\(Z_{TL} = (2.5 + j10.2) \Omega\)
The solution gets the answer by doing the following,
\(Re \left{ 3 I_{L}^{2} \cdot Z_{TL} \right}\)
Can someone explain my confusion or clarify things?
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