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4.53 a. Find the branch currents ia-ie for the circuit shown in Fig. P4.53. b. Check your answers by showing that the total power generated equals the total power dissipated. Figure P4.53 30 A140 ia 2 10 Ω www 15 ia ie 35 Ω ww 31₂ 150 V

4.53 a. Find the branch currents ia-ie for the circuit shown in Fig. P4.53. b. Check your answers by showing that the total power generated equals the total power dissipated. Figure P4.53 30 A140 ia 2 10 Ω www 15 ia ie 35 Ω ww 31₂ 150 V

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**4.53** **a.** Find the branch currents \( i_a - i_e \) for the circuit shown in **Fig. P4.53**. **b.** Check your answers by showing that the total power generated equals the total power dissipated. --- **Figure P4.53 Description:** The schematic diagram in Figure P4.53 represents an electrical circuit requiring analysis. Key components and connections are detailed below: - **Current Sources:** - A 30 A current source is connected on the left side. - **Resistors and Impedance:** - A 40 Ω resistor is connected in series with the 30 A current source. - A 10 Ω resistor is connected in the middle of the circuit. - A 35 Ω resistor is on the right, parallel to a controlled voltage source. - **Controlled Sources:** - A dependent voltage source represented as \( 15i_d \) (pointing upwards) is located on the upper branch, between the 10 Ω and 35 Ω resistors. - A dependent current source represented as \( 3i_a \) connected in series with a 10 Ω resistor. - **Voltage Source:** - A 150 V voltage source is connected on the far right. - **Branch Currents:** - \( i_a \) is the current flowing through the 40 Ω resistor. - \( i_b \) is the current through the 10 Ω resistor. - \( i_c \) is the current through the 35 Ω resistor. - \( i_d \) is the controlling variable of the dependent sources. - \( i_e \) flows through the dependent voltage source \( 15i_d \). The task involves determining individual branch currents within the network and verifying energy conservation by equating generated and dissipated power.
Transcribed Image Text:**4.53** **a.** Find the branch currents \( i_a - i_e \) for the circuit shown in **Fig. P4.53**. **b.** Check your answers by showing that the total power generated equals the total power dissipated. --- **Figure P4.53 Description:** The schematic diagram in Figure P4.53 represents an electrical circuit requiring analysis. Key components and connections are detailed below: - **Current Sources:** - A 30 A current source is connected on the left side. - **Resistors and Impedance:** - A 40 Ω resistor is connected in series with the 30 A current source. - A 10 Ω resistor is connected in the middle of the circuit. - A 35 Ω resistor is on the right, parallel to a controlled voltage source. - **Controlled Sources:** - A dependent voltage source represented as \( 15i_d \) (pointing upwards) is located on the upper branch, between the 10 Ω and 35 Ω resistors. - A dependent current source represented as \( 3i_a \) connected in series with a 10 Ω resistor. - **Voltage Source:** - A 150 V voltage source is connected on the far right. - **Branch Currents:** - \( i_a \) is the current flowing through the 40 Ω resistor. - \( i_b \) is the current through the 10 Ω resistor. - \( i_c \) is the current through the 35 Ω resistor. - \( i_d \) is the controlling variable of the dependent sources. - \( i_e \) flows through the dependent voltage source \( 15i_d \). The task involves determining individual branch currents within the network and verifying energy conservation by equating generated and dissipated power.
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