Use Kirchhoff's rules to find the equations that solve for the currents in the following circuit. You should have 5 separate equations but you do not need to solve them algebraically. I Answer: R5 80 Q2 R6 20 Ω R1 60 Ω BAT1 12 V BAT4 9 V R3 30 22 R2 20 22 R4 60 Ω Write your 5 equations in the below boxes BAT3 1.5 V Thanogmco
Use Kirchhoff's rules to find the equations that solve for the currents in the following circuit. You should have 5 separate equations but you do not need to solve them algebraically. I Answer: R5 80 Q2 R6 20 Ω R1 60 Ω BAT1 12 V BAT4 9 V R3 30 22 R2 20 22 R4 60 Ω Write your 5 equations in the below boxes BAT3 1.5 V Thanogmco
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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 and refraction in an easier way.
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Transcribed Image Text:**Educational Worksheet: Applying Kirchhoff's Rules**
**Objective:** Use Kirchhoff's rules to derive equations for the currents in the given electrical circuit. You are required to establish 5 separate equations, however, solving them algebraically is not necessary.
**Diagram Analysis:**
The circuit diagram consists of the following components:
- **Batteries:**
- BAT1: 12 V
- BAT3: 1.5 V
- BAT4: 9 V
- **Resistors:**
- R1: 60 Ω
- R2: 20 Ω
- R3: 30 Ω
- R4: 60 Ω
- R5: 80 Ω
- R6: 20 Ω
The circuit is composed of multiple loops and branches that require analysis using Kirchhoff's Voltage and Current Laws to establish the necessary equations.
**Procedure:**
1. **Identify Loops and Nodes:**
- Determine all the loops in the circuit.
- Identify nodes where currents converge or diverge.
2. **Apply Kirchhoff's Voltage Law (KVL):**
- For each loop, the sum of the electromotive forces (emf) and the potential differences (voltage drops) across resistors must be zero.
- Establish equations based on the voltage drops and rises around the loops.
3. **Apply Kirchhoff's Current Law (KCL):**
- At each node, the sum of currents entering the node is equal to the sum of currents leaving the node.
- Write equations based on the current conservation at junctions.
**Answer:**
*Write your 5 equations in the below boxes:*
1. _______________________________________________________________
2. _______________________________________________________________
3. _______________________________________________________________
4. _______________________________________________________________
5. _______________________________________________________________
**Instructions:**
Fill in the boxes with the equations derived from applying Kirchhoff's laws to the circuit. Remember to consider the directionality of currents and voltage drops.
This exercise strengthens the understanding of circuit analysis and the application of fundamental electrical engineering principles.
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We need to determine the Kirchhoff equations.
We are solving this problem using the KCL and KVL.
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