Given V 120/220° V. ZL = 2- j2 2, and Z 8+ j8 2 for a balanced three-phase wye-wye an = circuit with "abc" sequence, what is the value of I bB? ZL b. a Iaa Von Van VAN VBN N VCN ZL C C İcc O 14.55Z89.0° A O 12.0Z- 165.0° A O 14.55Z - 151.0° A O 12.0275.0° A

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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**Problem Statement:**

Given \( \tilde{V}_{an} = 120\sqrt{2}\angle 0^\circ \text{ V} \), \( Z_L = 2 - j2 \, \Omega \), and \( Z = 8 + j8 \, \Omega \) for a balanced three-phase wye-wye circuit with an "abc" sequence, what is the value of \( \tilde{I}_{BB} \)?

**Circuit Diagram:**

The diagram represents a balanced three-phase wye-wye circuit. It includes:

- Three phase sources \( \tilde{V}_{an} \), \( \tilde{V}_{bn} \), and \( \tilde{V}_{cn} \).
- Line impedances \( Z_L \) in each phase.
- Load impedances \( Z \) connected in a wye configuration.

**Components:**

- \( \tilde{V}_{an} \), \( \tilde{V}_{bn} \), \( \tilde{V}_{cn} \): Phase voltage sources.
- \( Z_L \): Line impedance for each of the three phases (a, b, c).
- \( Z \): Load impedance for each phase in the wye-connected load.
- \( N \): Neutral point in the load section.

**Phase Currents:**

- \( \tilde{I}_{aA} \): Current flowing through line A.
- \( \tilde{I}_{bB} \): Current flowing through line B.
- \( \tilde{I}_{cC} \): Current flowing through line C.

**Voltage Across the Load:**

- \( \tilde{V}_{AN} \), \( \tilde{V}_{BN} \), \( \tilde{V}_{CN} \): Voltages across the load impedances \( Z \).

**Options:**

- \( 14.55 \angle 89.0^\circ \, \text{A} \)
- \( 12.0 \angle -165.0^\circ \, \text{A} \)
- \( 14.55 \angle -151.0^\circ \, \text{A} \)
- \( 12.0 \angle 75.0^\circ \, \text{A} \)

This problem challenges students to calculate the phase current \( \til
Transcribed Image Text:**Problem Statement:** Given \( \tilde{V}_{an} = 120\sqrt{2}\angle 0^\circ \text{ V} \), \( Z_L = 2 - j2 \, \Omega \), and \( Z = 8 + j8 \, \Omega \) for a balanced three-phase wye-wye circuit with an "abc" sequence, what is the value of \( \tilde{I}_{BB} \)? **Circuit Diagram:** The diagram represents a balanced three-phase wye-wye circuit. It includes: - Three phase sources \( \tilde{V}_{an} \), \( \tilde{V}_{bn} \), and \( \tilde{V}_{cn} \). - Line impedances \( Z_L \) in each phase. - Load impedances \( Z \) connected in a wye configuration. **Components:** - \( \tilde{V}_{an} \), \( \tilde{V}_{bn} \), \( \tilde{V}_{cn} \): Phase voltage sources. - \( Z_L \): Line impedance for each of the three phases (a, b, c). - \( Z \): Load impedance for each phase in the wye-connected load. - \( N \): Neutral point in the load section. **Phase Currents:** - \( \tilde{I}_{aA} \): Current flowing through line A. - \( \tilde{I}_{bB} \): Current flowing through line B. - \( \tilde{I}_{cC} \): Current flowing through line C. **Voltage Across the Load:** - \( \tilde{V}_{AN} \), \( \tilde{V}_{BN} \), \( \tilde{V}_{CN} \): Voltages across the load impedances \( Z \). **Options:** - \( 14.55 \angle 89.0^\circ \, \text{A} \) - \( 12.0 \angle -165.0^\circ \, \text{A} \) - \( 14.55 \angle -151.0^\circ \, \text{A} \) - \( 12.0 \angle 75.0^\circ \, \text{A} \) This problem challenges students to calculate the phase current \( \til
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