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In the circuit diagram provided, you're asked to find the voltage at node 3 (V3). The circuit includes multiple resistors and two voltage sources. Here's how we can approach solving this:

1. **Node Voltage Method (Nodal Analysis)**: We can apply the node voltage method to calculate V3. This involves setting up equations based on the Kirchhoff’s Current Law (KCL), where the sum of currents leaving a node is zero.

2. **Identify Nodes and Write Equations**:
   - **Node 1 (V1)**: Known, connected to the 12V battery (V1 = 12V).
   - **Node 3 (V3)**: Unknown, the point where we need to find the voltage.
   - **Node 4**: Known, connected to the ground (V4 = 0V).

3. **Currents and Resistances**:
   - Current through R1: `(V3 - V1) / 5kΩ`
   - Current through R2: `(V3 - 0) / 1kΩ`
   - Current through R3: `(V3 - V4) / 300Ω`

4. **Setting up KCL at Node 3**:
   - Sum of currents leaving node 3 equals zero:
   \[
   \frac{V3 - 12}{5000} + \frac{V3}{1000} + \frac{V3}{300} = 0
   \]

5. **Solve the Equation**:
   - Combine terms and solve for V3.

Let’s solve this equation to find V3.

Find the voltage at node 3 (Vn3) in the given electrical circuit with resistances R1, R2, and R3, a current source, and a voltage source.

This tutorial provides a step-by-step solution for finding the voltage at node 3 in an electrical circuit using Nodal Analysis and Kirchhoff’s Current Law. Learn how to apply Ohm's Law and solve equations involving resistances and sources. Suitable for undergraduate electrical engineering students.

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