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…
Teaching with circuits?
Create a classroom, give your students a circuit to build, and review what they submit. Try it free with one classroom and up to 5 students.
Try the free classroom demoHow 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
