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The image shows a circuit with two resistors connected in series. The resistors have resistances of \(6 \, \Omega\) and \(3.2 \, \Omega\), and the current in the circuit is \(1 \, \text{A}\). You are asked to find the readings of a voltmeter when connected across sections \(AC\), \(AB\), and \(BC\).

### Step 1: Calculate the total resistance of the circuit
The total resistance \(R_{\text{total}}\) of the series circuit is the sum of the individual resistances:
\[
R_{\text{total}} = R_{AB} + R_{BC} = 6 \, \Omega + 3.2 \, \Omega = 9.2 \, \Omega
\]

### Step 2: Calculate the total voltage in the circuit
Using Ohm's Law \(V = IR\), the total voltage \(V_{\text{total}}\) across the circuit can be calculated as:
\[
V_{\text{total}} = I \cdot R_{\text{total}} = 1 \, \text{A} \times 9.2 \, \Omega = 9.2 \, \text{V}
\]

### Step 3: Calculate the voltage across each section
1. **Voltage across \(AC\):**
   Since \(AC\) is the entire circuit, the voltmeter will measure the total voltage:
   \[
   V_{AC} = V_{\text{total}} = 9.2 \, \text{V}
   \]

2. **Voltage across \(AB\):**
   The voltage across \(AB\) is the voltage drop across the \(6 \, \Omega\) resistor. Using Ohm's Law:
   \[
   V_{AB} = I \cdot R_{AB} = 1 \, \text{A} \times 6 \, \Omega = 6 \, \text{V}
   \]

3. **Voltage across \(BC\):**
   The voltage across \(BC\) is the voltage drop across the \(3.2 \, \Omega\) resistor:
   \[
   V_{BC} = I \cdot R_{BC} = 1 \, \text{A} \times 3.2 \, \Omega = 3.2 \, \text{V}
   \]

### Conclusion
- \(V_{AC} = 9.2 \, \text{V}\)
- \(V_{AB} = 6 \, \text{V}\)
- \(V_{BC} = 3.2 \, \text{V}\)

Would you like further details on any of these calculations or concepts? Here are some related questions to explore further:

1. How does the current remain the same across each resistor in a series circuit?
2. What would happen to the voltages if the resistors were connected in parallel instead?
3. Can you calculate the power dissipated by each resistor?
4. What is the significance of using a voltmeter in this context, and how does it affect the circuit?
5. How would adding another resistor in series affect the total voltage and current?

**Tip:** When working with series circuits, always remember that the total resistance is the sum of individual resistances, and the current is the same across all components.

Two resistors are connected in series. Determine the voltmeter readings when connected across sections AC, AB, and BC.

This problem involves calculating the voltmeter readings across two resistors connected in series, using Ohm's Law and basic circuit theory. The resistances are 6 Ohms and 3.2 Ohms, with a current of 1 A flowing through the circuit. The total voltage, along with voltage drops across individual resistors, is determined.

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