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Q9. In the circuit, Vs1 is 121 V, Vs2 is 130 V, R1 is 3 Ohm, R2 is 6 Ohm, R3 is 2 Ohm, R4 is 9 Ohm, R5 is 10 Ohm, R6 is 29 Ohm. Hint: When solving the circuit using nodal analysis, ground the node where Vs1(-), Vs2(+) and R2 are connected. (Q9.a) Find the current i1 in the direction of the arrow. (Unit: A) (Q9.b) Find the current i2 in the direction of the arrow. (Unit: A) (Q9.c) Find the current i3 in the direction of the arrow. (Unit: A) (Q9.d) Find the current i4 in the direction of the arrow. (Unit: A) (Q9.e) Find the current i5 in the direction of the arrow. (Unit: A) (Q9.f) Find the current i6 in the direction of the arrow. (Unit: A)

Q9. In the circuit, Vs1 is 121 V, Vs2 is 130 V, R1 is 3 Ohm, R2 is 6 Ohm, R3 is 2 Ohm, R4 is 9 Ohm, R5 is 10 Ohm, R6 is 29 Ohm. Hint: When solving the circuit using nodal analysis, ground the node where Vs1(-), Vs2(+) and R2 are connected. (Q9.a) Find the current i1 in the direction of the arrow. (Unit: A) (Q9.b) Find the current i2 in the direction of the arrow. (Unit: A) (Q9.c) Find the current i3 in the direction of the arrow. (Unit: A) (Q9.d) Find the current i4 in the direction of the arrow. (Unit: A) (Q9.e) Find the current i5 in the direction of the arrow. (Unit: A) (Q9.f) Find the current i6 in the direction of the arrow. (Unit: A)

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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Q9. In the circuit, Vs1 is 121 V, Vs2 is 130 V, R1 is 3 Ohm, R2 is 6 Ohm, R3 is 2 Ohm, R4 is 9 Ohm, R5 is 10 Ohm, R6 is 29 Ohm.
Hint: When solving the circuit using nodal analysis, ground the node where Vs1(-), Vs2(+) and R2 are connected.

(Q9.a) Find the current i1 in the direction of the arrow. (Unit: A)

(Q9.b) Find the current i2 in the direction of the arrow. (Unit: A)

(Q9.c) Find the current i3 in the direction of the arrow. (Unit: A)

(Q9.d) Find the current i4 in the direction of the arrow. (Unit: A)

(Q9.e) Find the current i5 in the direction of the arrow. (Unit: A)

(Q9.f) Find the current i6 in the direction of the arrow. (Unit: A)

This diagram represents an electrical circuit containing two voltage sources and six resistors. It is useful for understanding the distribution of current in a complex circuit. **Components:** 1. **Voltage Sources:** - \( V_{S1} \): Positioned at the upper left of the circuit. - \( V_{S2} \): Located below \( V_{S1} \). 2. **Resistors:** - \( R_1 \): Connected in series with \( V_{S1} \). - \( R_2 \): Connected in series with \( V_{S2} \). - \( R_3 \): Connected in parallel with \( R_1 \) and \( R_2 \). - \( R_4, R_5 \): Arranged in series and linked in parallel to \( R_1 \), \( R_2 \), and \( R_3 \). - \( R_6 \): Connected in parallel to the combination of resistors above, completing the circuit. **Current Directions:** - \( i_1 \): Flows through \( R_1 \). - \( i_2 \): Flows through \( R_2 \). - \( i_3 \): Flows through \( R_3 \). - \( i_4 \): Flows downward through \( R_4 \). - \( i_5 \): Flows downward through \( R_5 \). - \( i_6 \): Flows downward through \( R_6 \). **Circuit Analysis:** This circuit illustrates a typical example for applying Kirchhoff’s laws: - Kirchhoff’s Current Law (KCL) at nodes where current divides or combines. - Kirchhoff’s Voltage Law (KVL) in loops to verify the voltage drop calculations. By analyzing the given resistors and current directions, one can apply Ohm's Law (\( V = IR \)) and the aforementioned laws to calculate unknown voltages, currents, or resistances, fostering a deeper understanding of electrical circuits.
Transcribed Image Text:This diagram represents an electrical circuit containing two voltage sources and six resistors. It is useful for understanding the distribution of current in a complex circuit. **Components:** 1. **Voltage Sources:** - \( V_{S1} \): Positioned at the upper left of the circuit. - \( V_{S2} \): Located below \( V_{S1} \). 2. **Resistors:** - \( R_1 \): Connected in series with \( V_{S1} \). - \( R_2 \): Connected in series with \( V_{S2} \). - \( R_3 \): Connected in parallel with \( R_1 \) and \( R_2 \). - \( R_4, R_5 \): Arranged in series and linked in parallel to \( R_1 \), \( R_2 \), and \( R_3 \). - \( R_6 \): Connected in parallel to the combination of resistors above, completing the circuit. **Current Directions:** - \( i_1 \): Flows through \( R_1 \). - \( i_2 \): Flows through \( R_2 \). - \( i_3 \): Flows through \( R_3 \). - \( i_4 \): Flows downward through \( R_4 \). - \( i_5 \): Flows downward through \( R_5 \). - \( i_6 \): Flows downward through \( R_6 \). **Circuit Analysis:** This circuit illustrates a typical example for applying Kirchhoff’s laws: - Kirchhoff’s Current Law (KCL) at nodes where current divides or combines. - Kirchhoff’s Voltage Law (KVL) in loops to verify the voltage drop calculations. By analyzing the given resistors and current directions, one can apply Ohm's Law (\( V = IR \)) and the aforementioned laws to calculate unknown voltages, currents, or resistances, fostering a deeper understanding of electrical circuits.
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