## Question

###### A balanced three-phase source serves the following loads: Load $1: 20 \mathrm{kVA}$ at $0.8 \mathrm{pf}$ lagging Load $2: 10 \mathrm{kVA}$ at $0.7 \mathrm{pf}$ leading Load $3: 10 \mathrm{kW}$ at unity pf Load $4: 16 \mathrm{kVA}$ at $0.6 \mathrm{pf}$ lagging The line voltage at the load is $208 \mathrm{V}$ rms at $60 \mathrm{Hz}$, and the line impedance is $0.02+j 0.04 \Omega$. Find the line voltage and power factor at the source.

A balanced three-phase source serves the following loads: Load $1: 20 \mathrm{kVA}$ at $0.8 \mathrm{pf}$ lagging Load $2: 10 \mathrm{kVA}$ at $0.7 \mathrm{pf}$ leading Load $3: 10 \mathrm{kW}$ at unity pf Load $4: 16 \mathrm{kVA}$ at $0.6 \mathrm{pf}$ lagging The line voltage at the load is $208 \mathrm{V}$ rms at $60 \mathrm{Hz}$, and the line impedance is $0.02+j 0.04 \Omega$. Find the line voltage and power factor at the source.

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