1. The voltage and current of a Y-connected generator include Vab=360VZ+80° , la=30AZ60°A. la=30A@60 370v@+80° The diagram above shows the information given, with approximately the correct lengths and angles. a. Compute Vbc and Vca b. Compute Van, Vbn, and Vcn c. Compute Ib and Ic

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**Y-Connected Generator Analysis**

**1. Voltage and Current Specifications:**

The voltage and current of a Y-connected generator are given as:
- \( V_{ab} = 360V \angle +80^\circ \)
- \( I_a = 30A \angle 60^\circ \)

**Diagram Explanation:**

The diagram illustrates a Y-connected generator with:
- Three lines connected to points a, b, and c, forming a triangle.
- A highlighted angle of \( 370V \angle +80^\circ \).
- A line denoting \( I_a = 30A \angle 60^\circ \), representing the current Ia flowing out of point a.

**Task Instructions:**

a. Compute the voltages \( V_{bc} \) and \( V_{ca} \).

b. Compute the phase voltages \( V_{an} \), \( V_{bn} \), and \( V_{cn} \).

c. Compute the currents \( I_b \) and \( I_c \).

d. Show that Kirchhoff's Current Law (KCL) holds true at the generator.

**Note:** The lengths and angles in the diagram are presented approximately to convey the relationships and magnitudes between the vectors.
Transcribed Image Text:**Y-Connected Generator Analysis** **1. Voltage and Current Specifications:** The voltage and current of a Y-connected generator are given as: - \( V_{ab} = 360V \angle +80^\circ \) - \( I_a = 30A \angle 60^\circ \) **Diagram Explanation:** The diagram illustrates a Y-connected generator with: - Three lines connected to points a, b, and c, forming a triangle. - A highlighted angle of \( 370V \angle +80^\circ \). - A line denoting \( I_a = 30A \angle 60^\circ \), representing the current Ia flowing out of point a. **Task Instructions:** a. Compute the voltages \( V_{bc} \) and \( V_{ca} \). b. Compute the phase voltages \( V_{an} \), \( V_{bn} \), and \( V_{cn} \). c. Compute the currents \( I_b \) and \( I_c \). d. Show that Kirchhoff's Current Law (KCL) holds true at the generator. **Note:** The lengths and angles in the diagram are presented approximately to convey the relationships and magnitudes between the vectors.
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