The unit of reduction factor of tangent galvanometer

Options

A. Ampere
B. Gauss
C. Radian
D. None

Answer

To find the unit of the reduction factor of a tangent galvanometer, we can follow these steps:

### Step 1: Understand the Concept of a Tangent Galvanometer
A tangent galvanometer is an instrument used to measure the current by utilizing the magnetic field produced by a current-carrying coil. It consists of a coil of wire and a small magnetic needle.

### Step 2: Define the Reduction Factor
The reduction factor (k) of a tangent galvanometer is defined by the relationship:
\[ k = \frac{10 \theta}{I} \]
where:
- \( \theta \) is the deflection angle of the magnetic needle,
- \( I \) is the current flowing through the galvanometer.

### Step 3: Identify the Units Involved
In the equation for the reduction factor:
- The angle \( \theta \) is measured in degrees (or radians), but for the purpose of finding the unit of the reduction factor, we focus on the current.
- The current \( I \) is measured in amperes (A).

### Step 4: Analyze the Reduction Factor
Since the reduction factor \( k \) is defined in terms of the current \( I \), the unit of the reduction factor will be the same as the unit of current.

### Step 5: Conclusion
Thus, the unit of the reduction factor of a tangent galvanometer is:
\[ \text{Ampere (A)} \]

### Final Answer
The unit of the reduction factor of a tangent galvanometer is **Ampere (A)**.

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