What is a reduction factor of tangent galvanometer and its unit of measurement?

Options

A. `Am^(2)`
B. `Am`
C. `A`
D. `Am^(-1)`

Answer

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

### Step 1: Understand the definition of the reduction factor
The reduction factor of a tangent galvanometer is defined as the current required to produce a specific deflection in the galvanometer.

### Step 2: Identify the specific deflection
In the context of the tangent galvanometer, we often consider a deflection of 45 degrees. This means we are looking for the current that will cause the needle of the galvanometer to deflect to this angle.

### Step 3: Relate the current to the deflection
The reduction factor can be expressed mathematically. If we denote the reduction factor as \( R \), then:
\[ R = \frac{I}{\tan(\theta)} \]
where \( I \) is the current in amperes and \( \theta \) is the angle of deflection (in this case, 45 degrees).

### Step 4: Calculate the reduction factor for 45 degrees
For a deflection of 45 degrees, we know that:
\[ \tan(45^\circ) = 1 \]
Thus, the formula simplifies to:
\[ R = I \]
This means that the reduction factor is equal to the current required to produce a 45-degree deflection.

### Step 5: State the unit of measurement
Since the reduction factor is essentially a measure of current, its unit of measurement is amperes (A).

### Final Answer
The reduction factor of a tangent galvanometer is the current required to produce a deflection of 45 degrees, and its unit of measurement is amperes (A).

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