1. What is Nodal Voltage Analysis?

Nodal Voltage Analysis is a systematic method to determine the voltage at various nodes (connection points) in an electrical circuit. It's based on Kirchhoff's Current Law (KCL) which states that the sum of currents entering a node equals the sum of currents leaving it.

2. How Does the Calculator Work?

The calculator uses the nodal voltage equation for a 2-node system:

Where:

• \( G11 \) — Conductance of the first branch (Siemens)
• \( G12 \) — Conductance of the second branch (Siemens)
• \( V1 \) — Initial voltage at node 1 (Volts)
• \( V2 \) — Voltage at node 2 (Volts)

Explanation: The equation calculates the voltage at node 1 based on the conductances and voltages in the circuit.

3. Importance of Nodal Analysis

Details: Nodal analysis is fundamental for circuit design and analysis, helping engineers determine voltages at different points in a circuit, which is essential for proper circuit operation and troubleshooting.

4. Using the Calculator

Tips: Enter all conductance values in Siemens and voltage values in Volts. At least one conductance must be greater than zero to avoid division by zero.

5. Frequently Asked Questions (FAQ)

Q1: What if my circuit has more than 2 nodes?
A: This calculator is for 2-node systems. For more complex circuits, you'll need to set up and solve a system of equations.

Q2: How do I convert resistance to conductance?
A: Conductance (G) is the reciprocal of resistance (R): G = 1/R. Units are Siemens (S).

Q3: What are typical conductance values?
A: Conductance depends on the resistors in your circuit. For a 1kΩ resistor, conductance would be 0.001 S (1 mS).

Q4: Can I use this for AC circuits?
A: This calculator is for DC analysis. AC nodal analysis requires complex numbers to account for phase differences.

Q5: What if I get "Undefined" as a result?
A: This occurs when the sum of conductances is zero, which would mean no current path exists between the nodes.