When comparing the electromotive forces (emfs) of different cells, a potentiometer is generally preferred over a voltmeter for several reasons. Here's a detailed explanation:
### **1. Accuracy**
**Potentiometer:**
- **Principle of Operation:** A potentiometer works on the principle of null measurement. It compares the voltage of the cells by balancing it against a known reference voltage without drawing any current from the cells. This is achieved by adjusting a variable resistor until there is no voltage difference (null point) between the cell under test and a reference cell.
- **Measurement Method:** At the null point, the voltage drop across the potentiometer's wire segment matches the voltage of the cell being tested. Because no current flows through the cell during this process, there are no additional errors introduced by internal resistance or current fluctuations.
**Voltmeter:**
- **Principle of Operation:** A voltmeter measures the potential difference directly by drawing a small current through the cell.
- **Measurement Method:** Even though modern digital voltmeters are quite accurate, they still draw some current from the cell. This current can cause a voltage drop across the cell’s internal resistance, leading to measurement errors, especially if the internal resistance of the cell is not negligible compared to the voltmeter’s input resistance.
### **2. Internal Resistance Effects**
**Potentiometer:**
- **Current Flow:** A potentiometer does not draw current from the cell being measured. Therefore, it does not affect the cell's internal resistance or its terminal voltage. This results in a measurement that is purely reflective of the cell’s true emf.
**Voltmeter:**
- **Current Flow:** A voltmeter draws a small current when measuring voltage. For cells with higher internal resistance, this small current can cause a significant voltage drop, leading to inaccurate emf readings.
### **3. Sensitivity and Precision**
**Potentiometer:**
- **Resolution:** Potentiometers can be designed to provide very high precision and sensitivity. By adjusting the variable resistor or using a high-resolution potentiometer, very small differences in voltage can be detected accurately.
**Voltmeter:**
- **Resolution:** While high-quality voltmeters also offer good precision, their accuracy can be limited by the quality of the instrument and its internal circuitry. Potentiometers, on the other hand, can achieve higher precision in null measurements.
### **4. Practical Usage and Calibration**
**Potentiometer:**
- **Calibration:** Potentiometers require initial calibration against a known reference voltage, but once calibrated, they provide highly accurate measurements consistently. They are especially useful in laboratory settings where precise comparisons are necessary.
**Voltmeter:**
- **Calibration:** Voltmeters require periodic calibration and their accuracy can be affected by factors like battery condition, temperature, and other environmental conditions.
### **5. Application**
**Potentiometer:**
- **Comparative Measurement:** When comparing emfs of cells, the potentiometer is advantageous because it provides a method to compare voltages without influencing the cell's performance.
**Voltmeter:**
- **Direct Measurement:** While a voltmeter can provide a direct reading of voltage, its readings are best suited for measuring the voltage of a cell in practical applications where the internal resistance effects are minimal.
In summary, the potentiometer is preferred for comparing the emfs of cells because it avoids the errors introduced by internal resistance and current draw, offering higher accuracy and precision. This makes it an essential tool in situations where precise voltage comparisons are crucial.