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The question asks to identify which one of the circuits (A, B, C, or D) was used to obtain current-voltage data. It provides the following key information:

- The maximum resistance of resistor \(P\) is twice the resistance of \(R\).
- The battery has an EMF of 14.6 V and negligible internal resistance.

### Circuit Analysis:

1. **Circuit A:**
   - The resistors \(P\) and \(R\) are connected in parallel.
   - The ammeter \(A\) is connected in series with the combination, and the voltmeter \(V\) is measuring the potential difference across resistor \(R\).

2. **Circuit B:**
   - The resistors \(P\) and \(R\) are connected in series.
   - The ammeter is in series with the resistors, and the voltmeter measures across resistor \(R\).

3. **Circuit C:**
   - \(P\) and \(R\) are connected in series.
   - The ammeter measures the total current, and the voltmeter measures the potential difference across both resistors.

4. **Circuit D:**
   - \(P\) and \(R\) are in parallel.
   - The ammeter measures the total current through the combination, and the voltmeter measures across both resistors.

### Resistance Information:
- The maximum resistance of \(P\) is twice that of \(R\), which indicates that in the case of a single resistor setup or an equivalent resistance scenario, the total resistance must reflect this ratio.

Given this setup, **Circuit B** is the most likely candidate because:
- The resistors are in series, so the current and voltage can be easily measured to obtain the correct I-V characteristics.
- Series configuration directly affects the total resistance, making it simpler to relate to the ratio between \(P\) and \(R\).

Would you like a more detailed breakdown of how the I-V graph might look for this scenario, or any specific aspects of the circuit analysis explained further?

### 5 Related Questions:
1. How does the series configuration of resistors affect the total resistance and current distribution?
2. What would the voltage distribution across \(P\) and \(R\) look like in a parallel configuration?
3. How does the ratio of resistances influence the slope of a current-voltage graph?
4. Why does negligible internal resistance of the battery simplify the analysis?
5. What would the effect be if the resistors \(P\) and \(R\) were switched in their positions?

### Tip:
When analyzing circuits, always check whether components are in series or parallel to correctly calculate the total resistance, current, and voltage distribution.

One of the circuits A to D was used to obtain current-voltage data. The maximum resistance of resistor P is twice the resistance of R. The battery has an emf of 14.6 V and negligible internal resistance. Identify which circuit was used based on this information.

Analyze different circuits to identify which one produces specific current-voltage characteristics. This problem focuses on circuits with resistors in series and parallel, applying Ohm's law and the combination of resistances.

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