Nodal Voltage Analysis Circuit

Nodal Voltage Calculation Given a circuit with three nodes (Va, Vb, Vc) and node D as the reference node, we apply Kirchhoff’s Current Law (KCL) at node…

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How it works

Nodal Voltage Calculation

Given a circuit with three nodes (Va, Vb, Vc) and node D as the reference node, we apply Kirchhoff’s Current Law (KCL) at node Vb.

Step 1: Write the Node Equation at Vb

(Va - Vb) / 10 + (Vc - Vb) / 20 = Vb / 40

Step 2: Substitute Given Values

Given Va = 10V and Vc = 20V, the equation becomes:

(10 - Vb) / 10 + (20 - Vb) / 20 = Vb / 40

Step 3: Simplify the Equation

(1 - Vb / 10) + (1 - Vb / 20) = Vb / 40

2 - (Vb / 10 + Vb / 20) = Vb / 40

Step 4: Factor Out Vb

2 = Vb (1 / 40 + 1 / 20 + 1 / 10)

What's inside

2× Battery
3× Resistor (10 Ω, 20 Ω, 40 Ω)
Measured with Multimeter, Voltmeter/Ammeter

About

By Md. Anisur Rahman
Saved December 22, 2021 · updated January 15, 2026
15,138 views
Page: dcaclab.com/circuits/48883-nodal-voltage-analysis-circuit

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Cite: Rahman, M. (2021). Nodal Voltage Analysis Circuit. DCACLab. https://dcaclab.com/circuits/48883-nodal-voltage-analysis-circuit