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KIRCHHOFF'S LAW OF NODES
Kirchhoff's Law of Nodes is a fundamental tool in the analysis of electrical circuits. It establishes that the sum of the currents entering a node (connection point) is equal to the sum of the currents leaving it.
Statement of Kirchhoff's Law of Nodes
"The sum of the currents entering a node is equal to the sum of the currents leaving it."
Symbology
1. *I*: Current
2. *V*: Voltage
3. *R*: Resistance
4. *N*: Node
Law Enforcement
1. Identify the nodes in the circuit.
2. Label each stream entering and leaving the node.
3. Apply the law: ΣI_input = ΣI_output
Example
Analysis of a circuit with two resistors and a voltage source.
Steps
1. Identify nodes: A, B, C
2. Label currents: I1, I2, I3
3. Apply the law at each node:
4. *Node A*: I1 = I2 + I3
5. *Node B*: I2 = I3
6. *Node C*: I3 = I1
Advantages
1. Facilitates the analysis of complex circuits.
2. Allows you to calculate currents and voltages.
Limitations
1. Only applies to linear circuits.
Applications
1. Design of electronic circuits.
2. Analysis of electrical networks.
3. Electrical engineering.
Software
1.SPICE
2. Multisim
3. Proteus
4. MATLAB/Simulink
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