Which of the following statements is/are correct for potentiometer circuit ?

Options

A. Sensitivity varies inversely with the length of the potentiometer wire
B. Sensitivity is directly proportional to the potential difference applied across the potentiometer wire
C. Accuracy of a potentiometer can be increased only by increasing the length of wire
D. Range of the voltages to be measured depends upon the potential difference applied across the potentiometer wire

Answer

To determine which statements about the potentiometer circuit are correct, we will analyze each statement based on the principles of potentiometers.

### Step-by-Step Solution:

1. **Understanding Sensitivity of Potentiometer:**
- The sensitivity of a potentiometer is defined as the ability of the instrument to detect small changes in voltage. It is known that sensitivity is inversely proportional to the length of the potentiometer wire.
- **Statement 1:** "Sensitivity varies inversely with length of potentiometer wire."
- This statement is **correct** because as the length of the wire increases, the sensitivity decreases.

2. **Sensitivity and Potential Difference:**
- Sensitivity is also directly proportional to the potential difference applied across the potentiometer. A higher potential difference allows for better detection of voltage differences.
- **Statement 2:** "Sensitivity is directly proportional to potential difference applied across the potentiometer."
- This statement is **correct** as increased potential difference enhances sensitivity.

3. **Accuracy and Length of Wire:**
- The accuracy of a potentiometer can be influenced by the length of the wire. Increasing the length of the wire decreases sensitivity, which in turn can lead to increased accuracy in measuring voltage.
- **Statement 3:** "Accuracy of a potentiometer can be increased by increasing length of wire."
- This statement is **correct** because a longer wire leads to lower sensitivity, which improves accuracy.

4. **Range of Voltages to be Measured:**
- The range of voltages that can be measured by a potentiometer is indeed dependent on the potential difference applied across the potentiometer wire. This means that the maximum voltage that can be measured is determined by the potential difference used.
- **Statement 4:** "Range of voltages to be measured depends on potential difference applied across the potentiometer wire."
- This statement is **correct** as the range is directly related to the applied potential difference.

### Conclusion:
After analyzing all the statements, we find that all of them are correct.

### Final Answer:
All statements regarding the potentiometer circuit are correct.