To calculate the potential difference \( V_{CG} \) between nodes \( C \) and \( G \) (ground), let's break down the circuit further.

### **Circuit Details:**
1. **Voltage Source at Node C**: There is a 30V voltage source directly connected between node \( C \) and ground \( G \).

### **Steps to Find \( V_{CG} \):**

- **Node C**: Since the positive terminal of the 30V source is connected to node \( C \), the potential at node \( C \) relative to ground \( G \) is simply \( +30V \).

### **Conclusion:**

The potential difference \( V_{CG} \) is:
\[
V_{CG} = 30V - 0V = 30V
\]

So, \( V_{CG} = 30V \).

Would you like more details on how this is calculated, or do you have any other questions?

**Related Questions:**
1. What is the potential difference \( V_{AG} \) in the circuit?
2. How would the potential difference \( V_{CG} \) change if the voltage source was altered?
3. How does the resistor network affect other potential differences in the circuit?
4. What would happen if the 30V source connected to node \( C \) was replaced with a different value?
5. How can you apply Kirchhoff’s Voltage Law (KVL) to verify the potential differences in this circuit?

**Tip:** Always start by identifying the connections of voltage sources in a circuit; it makes determining potentials straightforward!

Learn how to calculate the potential difference vCG between nodes C and G in an electric circuit. Follow a detailed step-by-step guide with specific circuit details and calculations. Suitable for undergraduate students and electrical engineering enthusiasts.

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