https://file.aiquickdraw.com/mathbot/file/1729411959221a445hzy5.jpg

The image presents an electrical circuit problem asking to determine the voltage \( V_{ab} \) across points \( a \) and \( b \).

### Circuit Components:
1. **On the left loop:**
   - A **current source** of \( 3 \, \text{A} \).
   - Resistors of \( 6 \, \Omega \) and \( 10 \, \Omega \).

2. **On the right loop:**
   - A **voltage source** of \( 10 \, \text{V} \).
   - A resistor of \( 6 \, \Omega \).
   - A **voltmeter** measuring \( 5 \, \text{V} \) (the drop across a resistor of \( 4 \, \Omega \)).

### To find \( V_{ab} \):

We'll need to analyze both loops.

1. **Left loop:**
   - The total resistance in this loop is \( 6 \, \Omega + 10 \, \Omega = 16 \, \Omega \).
   - The current source provides \( 3 \, \text{A} \), so using Ohm's Law \( V = I \cdot R \), the voltage drop in this loop is:
   \[
   V_{\text{left loop}} = 3 \, \text{A} \times 16 \, \Omega = 48 \, \text{V}.
   \]
   - The potential at point \( a \) relative to the ground (assuming clockwise current flow) would be \( +48 \, \text{V} \).

2. **Right loop:**
   - The voltage drop across the \( 4 \, \Omega \) resistor is \( 5 \, \text{V} \), which matches the voltmeter reading.
   - The \( 10 \, \text{V} \) source sets the voltage at point \( b \) as \( 10 \, \text{V} \), assuming the ground is at the negative terminal.

### Calculating \( V_{ab} \):

The voltage difference \( V_{ab} = V_a - V_b \). From the above:
- \( V_a = 48 \, \text{V} \).
- \( V_b = 10 \, \text{V} \).

Thus:
\[
V_{ab} = 48 \, \text{V} - 10 \, \text{V} = 38 \, \text{V}.
\]

### Conclusion:
The voltage \( V_{ab} \) is \( 38 \, \text{V} \).

---

Do you have any further questions or need a more detailed explanation?

Here are 5 related questions to deepen your understanding:
1. How would the voltage \( V_{ab} \) change if the current source was altered?
2. How does adding a resistor in parallel to the left loop affect the overall circuit?
3. What is the significance of the voltmeter reading \( 5 \, \text{V} \) across the \( 4 \, \Omega \) resistor?
4. How can we calculate power dissipation in each resistor?
5. What if the current source and voltage source were swapped—how would that impact \( V_{ab} \)?

**Tip:** When solving circuit problems, it's helpful to label each point's potential and apply Kirchhoff's Voltage Law (KVL) to verify your results.

Perhatikan rangkaian listrik berikut. Berdasarkan gambar tersebut, tentukan nilai V_ab!

This problem focuses on determining the voltage difference V_ab in a circuit with current and voltage sources. Using Ohm's Law and Kirchhoff's Voltage Law (KVL), the solution involves analyzing the voltage drop across multiple resistors in series. Suitable for electrical engineering students.

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