To find the voltage \( V_3 \) at \( t = 0^+ \), we analyze the circuit just after the switch is closed or a change happens. Here's a general approach:

### Steps to Solve:
1. **Identify the Initial Conditions:** At \( t = 0^+ \), the capacitor acts as a short circuit (if the capacitor was previously uncharged). This is because the voltage across the capacitor cannot change instantaneously.

2. **Simplify the Circuit:** Replace the capacitor with a short circuit in your diagram.

3. **Apply Circuit Analysis Techniques:** Use methods such as Ohm's law, Kirchhoff's Voltage Law (KVL), Kirchhoff's Current Law (KCL), or node-voltage analysis to find the required voltage \( V_3 \).

### Next Steps:
Please confirm the values of the resistors, the voltage source, and the capacitor (if any) from the diagram so that we can proceed with solving for \( V_3 \).

If you'd like, I can also explain the principles behind this approach in more detail.

Learn how to find the voltage V3 at t=0+ in an electrical circuit with capacitors. This problem involves using Ohm's Law, Kirchhoff's Voltage Law (KVL), and Kirchhoff's Current Law (KCL) to analyze the circuit just after a switch is closed or a change occurs. Suitable for advanced high school and college students.

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