Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Concept explainers

KVL and KCL
KVL stands for Kirchhoff voltage law. KVL states that the total voltage drops around the loop in any closed electric circuit is equal to the sum of total voltage drop in the same closed loop.
Sign Convention
Science and technology incorporate some ideas and techniques of their own to understand a system skilfully and easily. These techniques are called conventions. For example: Sign conventions of mirrors are used to understand the phenomenon of reflection a…
Question

Solve using KVL

The diagram is a circuit schematic used to illustrate the application of Kirchhoff's Voltage Law (KVL). Here's a detailed explanation: ### Components: 1. **Voltage Sources:** - A 10V voltage source on the left side. - A 5V voltage source at the top right. - A 3V voltage source below the 5V source. 2. **Resistors:** - A 15Ω resistor at the top left. - A 20Ω resistor in the middle linking the two loops. - Two 6Ω resistors: one at the top center and the other at the top right. - An 8Ω resistor at the bottom right. 3. **Currents:** - \( I_1 \) is shown in the left loop. - \( I_2 \) is shown in the middle loop. - \( I_3 \) is shown in the right loop. 4. **Ground Symbol:** - Located at the bottom center of the diagram. ### Configuration: - **Left Loop:** - Voltage source (10V) is connected with a 15Ω resistor and passes through the 20Ω resistor with current \( I_1 \). - **Middle Loop:** - Involves the 20Ω resistor, a 6Ω resistor, and the 3V voltage source with current \( I_2 \). - **Right Loop:** - Includes a 5V voltage source, another 6Ω resistor, and the 8Ω resistor with current \( I_3 \). ### Application: - This circuit is likely used to demonstrate KVL, where the sum of the voltages around any closed loop in the circuit equals zero. It shows how multiple loops share components, like the 20Ω resistor, and how different currents affect each loop. The schematic is a practical example for students learning about circuit analysis and the principles of electrical engineering.
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Transcribed Image Text:The diagram is a circuit schematic used to illustrate the application of Kirchhoff's Voltage Law (KVL). Here's a detailed explanation: ### Components: 1. **Voltage Sources:** - A 10V voltage source on the left side. - A 5V voltage source at the top right. - A 3V voltage source below the 5V source. 2. **Resistors:** - A 15Ω resistor at the top left. - A 20Ω resistor in the middle linking the two loops. - Two 6Ω resistors: one at the top center and the other at the top right. - An 8Ω resistor at the bottom right. 3. **Currents:** - \( I_1 \) is shown in the left loop. - \( I_2 \) is shown in the middle loop. - \( I_3 \) is shown in the right loop. 4. **Ground Symbol:** - Located at the bottom center of the diagram. ### Configuration: - **Left Loop:** - Voltage source (10V) is connected with a 15Ω resistor and passes through the 20Ω resistor with current \( I_1 \). - **Middle Loop:** - Involves the 20Ω resistor, a 6Ω resistor, and the 3V voltage source with current \( I_2 \). - **Right Loop:** - Includes a 5V voltage source, another 6Ω resistor, and the 8Ω resistor with current \( I_3 \). ### Application: - This circuit is likely used to demonstrate KVL, where the sum of the voltages around any closed loop in the circuit equals zero. It shows how multiple loops share components, like the 20Ω resistor, and how different currents affect each loop. The schematic is a practical example for students learning about circuit analysis and the principles of electrical engineering.
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given circuit,apply kvl inside the loop
VIEW
fiind i1,i2,i3
VIEW
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