Q: v1= 2cos(2t) and v2= 5 cos(0.25t). Find .the voltage at node A

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**Question:** 
Given \( v_1 = 2\cos(2t) \) and \( v_2 = 5 \cos(0.25t) \). Find the voltage at node A.

**Description of the Circuit Diagram:**
The diagram represents a complex electrical circuit with the following components and configuration:
- There is a voltage source \( v_1 = 2\cos(2t) \) connected in series with a 6 Henry inductor (6H).
- The node at the top of this inductor is labeled as node A.
- From node A, a 0.5 Farad capacitor (0.5F) is connected directly across to another voltage source \( v_2 = 5 \cos(0.25t) \).
- In parallel with the capacitor, connected to node A are a 1 Farad capacitor (1F) and, in series, a 4 Henry inductor (4H).

**Objective:**
Determine the voltage at node A given the voltage sources \( v_1 \) and \( v_2 \).
Transcribed Image Text:**Question:** Given \( v_1 = 2\cos(2t) \) and \( v_2 = 5 \cos(0.25t) \). Find the voltage at node A. **Description of the Circuit Diagram:** The diagram represents a complex electrical circuit with the following components and configuration: - There is a voltage source \( v_1 = 2\cos(2t) \) connected in series with a 6 Henry inductor (6H). - The node at the top of this inductor is labeled as node A. - From node A, a 0.5 Farad capacitor (0.5F) is connected directly across to another voltage source \( v_2 = 5 \cos(0.25t) \). - In parallel with the capacitor, connected to node A are a 1 Farad capacitor (1F) and, in series, a 4 Henry inductor (4H). **Objective:** Determine the voltage at node A given the voltage sources \( v_1 \) and \( v_2 \).
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