Question: A balanced three-phase source and a balanced three-phase load are interconnected by a three-phase transmission line. The load draws an average power of (P_{mathrm{L}}=45 mathrm{~kW})

A balanced three-phase source and a balanced three-phase load are interconnected by a three-phase transmission line. The load draws an average power of $P_{\mathrm{L}}=45 \mathrm{~kW}$ at a lagging power factor of 0.8 and the source produces a complex power of $S_{\mathrm{S}}=(45 \cdot 2+j$ 35.4) kVA. Find the transmission line wire impedance when the magnitude of the line current is $I_{\mathrm{L}}=18 \mathrm{~A}(\mathrm{rms})$.

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