The sensitivity of a tangent galvanometer is increased if

Options

A. Number of turn decreases
B. Number of turn increases
C. Field increases
D. None of the above

Explanation

To determine how the sensitivity of a tangent galvanometer can be increased, we need to analyze the relationship between sensitivity, the number of turns in the coil, and other factors involved.

### Step-by-Step Solution:

1. **Understanding Sensitivity**:
The sensitivity (S) of a tangent galvanometer is defined as the ratio of the deflection angle (θ) to the current (I) passing through the coil. Mathematically, it can be expressed as:
\[ S = \frac{\theta}{I} \]

2. **Factors Affecting Sensitivity**:
The sensitivity of the galvanometer can be influenced by several factors, including the number of turns (N) in the coil, the radius (r) of the coil, and the magnetic field (B).

3. **Effect of Number of Turns**:
The sensitivity is directly proportional to the number of turns (N) in the coil. This means that if the number of turns increases, the sensitivity also increases. This can be expressed as:
\[ S \propto N \]
Therefore, increasing the number of turns will enhance the sensitivity.

4. **Effect of Radius**:
The sensitivity is inversely proportional to the radius (r) of the coil. If the radius increases, the sensitivity decreases. Thus, minimizing the radius will also increase sensitivity.

5. **Conclusion**:
Among the options provided, increasing the number of turns is the most effective way to enhance the sensitivity of the tangent galvanometer. Therefore, the correct answer is:
\[ \text{The sensitivity of a tangent galvanometer is increased if the number of turns increases.} \]