In electric circuits analysis, nodal analysis, node-voltage analysis, or the branch current method is a method of determining the voltage (potential difference) between "nodes" (points where elements or branches connect) in an electrical circuit in terms of the branch currents.

Nodal Analysis in Electrical Engineering

Nodal analysis is a method used to analyze and solve electrical circuits. It is a systematic approach that involves identifying the nodes of the circuit, assigning variables to the voltages at each node, and writing equations based on Kirchhoff's Current Law (KCL) to solve for these variables.

Determining Voltage

One of the main purposes of nodal analysis is to determine the voltages at each node in a circuit. This is done by assigning a variable to the voltage at each node and writing equations based on KCL. The equations are then solved simultaneously to determine the values of the variables, which represent the voltages at each node.

Current and Resistance

While nodal analysis is primarily used to determine voltage, it can also be used to determine current and resistance in a circuit. This is because the equations written based on KCL can include information about the current flowing through the circuit and the resistance of the components in the circuit.

Power

Nodal analysis can also be used to determine power in a circuit. This is done by using the equations written based on KCL to determine the current flowing through the circuit and the voltage drop across each component. With this information, the power consumed by each component can be calculated using the formula P=VI.

Conclusion

In summary, nodal analysis is primarily used to determine voltage in an electrical circuit. However, it can also be used to determine current, resistance, and power in the circuit. It is a powerful tool for analyzing and solving complex circuits, and is widely used in the field of electrical engineering.

I guess node analysis is a type of current balance equation where the currents are replaced by ratio of voltage difference and resistance of the relevant path.