Full-scale deflection (FSD) of a galvanometer refers to the maximum deflection that the galvanometer's pointer can achieve when the maximum allowable current flows through it. Essentially, it indicates the upper limit of the galvanometer's measurement range.
### Key Concepts
1. **Galvanometer Basics**:
- A galvanometer is an electromechanical device that detects and measures small electric currents. It typically consists of a coil suspended in a magnetic field, which experiences torque when current passes through it.
2. **Deflection**:
- The deflection of the galvanometer's needle is proportional to the current flowing through the coil. As the current increases, the needle moves further from its resting position.
3. **Full-Scale Deflection (FSD)**:
- FSD is defined as the current required to move the pointer to the maximum scale reading (usually the extreme right on a dial). For example, if a galvanometer is calibrated to show full-scale deflection at 1 mA, it means that a current of 1 mA will cause the pointer to reach its maximum position.
### Importance of FSD
- **Calibration**: Knowing the FSD allows for proper calibration of the instrument, ensuring accurate readings.
- **Sensitivity**: The FSD gives an indication of the sensitivity of the galvanometer; a lower FSD current typically means higher sensitivity, allowing the instrument to detect smaller currents.
- **Design and Application**: Different applications require different FSD values. For example, sensitive laboratory equipment might use galvanometers with low FSD values, while industrial applications may require higher FSDs.
### Calculation of FSD
The FSD can be determined by the following formula, where \( k \) is the constant that relates current to deflection:
\[
I_{FSD} = \frac{V}{R + r}
\]
- \( I_{FSD} \): Current for full-scale deflection
- \( V \): Voltage applied across the galvanometer
- \( R \): External resistance connected in series with the galvanometer
- \( r \): Internal resistance of the galvanometer
By understanding the concept of full-scale deflection, one can effectively utilize galvanometers in various electrical measurements and ensure they operate within their specified limits.