Question

An abc-sequence balanced three-phase wyeconnected source supplies power to a balanced wye-connected load. The line impedance per phase is $1+j 0 \Omega$, and the load impedance per phase is $20+j 20 \Omega$. If the source line voltage $\mathbf{V}_{a b}$ is $100 \angle 0^{\circ} \mathrm{V}$ rms, find the line currents.

   An abc-sequence balanced three-phase wyeconnected source supplies power to a balanced wye-connected load. The line impedance per phase is $1+j 0 \Omega$, and the load impedance per phase is $20+j 20 \Omega$. If the source line voltage $\mathbf{V}_{a b}$ is $100 \angle 0^{\circ} \mathrm{V}$ rms, find the line currents.

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Essentials of Electrical and Computer Engineering

Essentials of Electrical and Computer Engineering

David V. Kerns, Jr.,… 1st Edition

Chapter 5, Problem 42

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Step 1

In a wye-connected system, the phase voltage is given by: \[ V_a = \frac{V_{ab}}{\sqrt{3}} \angle -30^{\circ} \] Given \( V_{ab} = 100 \angle 0^{\circ} \, \text{V} \), we find: \[ V_a = \frac{100}{\sqrt{3}} \angle -30^{\circ} \approx 57.74 \angle -30^{\circ} Show more…

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An abc-sequence balanced three-phase wyeconnected source supplies power to a balanced wye-connected load. The line impedance per phase is $1+j 0 \Omega$, and the load impedance per phase is $20+j 20 \Omega$. If the source line voltage $\mathbf{V}_{a b}$ is $100 \angle 0^{\circ} \mathrm{V}$ rms, find the line currents.

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