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Use the mesh-current method to find the branch currents ia , ib, and ie in the circuit in (Figure 1). Suppose that v1 = 65 V and v2 = 100 V. Figure + |U 3 Ω ΖΩ in 45 Ω 4 Ω 1.5 Ω |U2 1 of 1

Use the mesh-current method to find the branch currents ia , ib, and ie in the circuit in (Figure 1). Suppose that v1 = 65 V and v2 = 100 V. Figure + |U 3 Ω ΖΩ in 45 Ω 4 Ω 1.5 Ω |U2 1 of 1

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Find the value of ia, ib, and ic if the polarity of the 100 V source is reversed.
# Educational Exercise: Mesh-Current Method for Circuit Analysis ### Task: Use the mesh-current method to find the branch currents \( i_a \), \( i_b \), and \( i_c \) in the circuit depicted in the figure. Suppose \( v_1 = 65 \, \text{V} \) and \( v_2 = 100 \, \text{V} \). ### Figure Description: The circuit diagram includes: - Two voltage sources: - \( v_1 = 65 \, \text{V} \) on the left side. - \( v_2 = 100 \, \text{V} \) on the right side, with reversed polarity compared to \( v_1 \). - Five resistors: - A \( 3 \, \Omega \) resistor at the top-left. - A \( 2 \, \Omega \) resistor at the bottom-left. - A \( 45 \, \Omega \) resistor in the center, vertically oriented. - A \( 4 \, \Omega \) resistor at the top-right. - A \( 1.5 \, \Omega \) resistor at the bottom-right. - Current flow: - \( i_a \) flows clockwise through the \( 3 \, \Omega \) resistor. - \( i_b \) flows downward through the \( 45 \, \Omega \) resistor. - \( i_c \) flows clockwise through the \( 4 \, \Omega \) resistor. This setup provides a basis for applying the mesh-current method and calculating the specific currents through each part of the circuit, considering the supplied voltages and resistances.
Transcribed Image Text:# Educational Exercise: Mesh-Current Method for Circuit Analysis ### Task: Use the mesh-current method to find the branch currents \( i_a \), \( i_b \), and \( i_c \) in the circuit depicted in the figure. Suppose \( v_1 = 65 \, \text{V} \) and \( v_2 = 100 \, \text{V} \). ### Figure Description: The circuit diagram includes: - Two voltage sources: - \( v_1 = 65 \, \text{V} \) on the left side. - \( v_2 = 100 \, \text{V} \) on the right side, with reversed polarity compared to \( v_1 \). - Five resistors: - A \( 3 \, \Omega \) resistor at the top-left. - A \( 2 \, \Omega \) resistor at the bottom-left. - A \( 45 \, \Omega \) resistor in the center, vertically oriented. - A \( 4 \, \Omega \) resistor at the top-right. - A \( 1.5 \, \Omega \) resistor at the bottom-right. - Current flow: - \( i_a \) flows clockwise through the \( 3 \, \Omega \) resistor. - \( i_b \) flows downward through the \( 45 \, \Omega \) resistor. - \( i_c \) flows clockwise through the \( 4 \, \Omega \) resistor. This setup provides a basis for applying the mesh-current method and calculating the specific currents through each part of the circuit, considering the supplied voltages and resistances.
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