The **moving coil galvanometer** works on the principle that when a current-carrying coil is placed in a magnetic field, it experiences a torque, causing the coil to rotate. The deflection of the coil is directly proportional to the current passing through it, allowing the galvanometer to measure small currents.
### Working Principle:
1. **Current Flow**: When a small current flows through the coil of the galvanometer, it generates a magnetic field around the coil.
2. **Magnetic Field Interaction**: The coil is suspended between the poles of a permanent magnet, which has a strong radial magnetic field. The interaction between the magnetic field generated by the current in the coil and the radial magnetic field of the permanent magnet creates a torque.
3. **Torque and Deflection**: This torque causes the coil to rotate. The rotation is proportional to the amount of current flowing through the coil. The coil is attached to a pointer that moves over a calibrated scale, showing the deflection.
4. **Restoring Force**: The coil is attached to a spring (or some fine suspension), which provides a restoring torque. This spring opposes the rotation of the coil. When the magnetic torque (due to the current) is balanced by the restoring torque (from the spring), the coil reaches a stable position.
5. **Proportional Deflection**: The deflection (θ) of the pointer is proportional to the current (I) flowing through the coil, i.e.,
\[ \theta \propto I \]
### Key Components:
- **Coil**: A rectangular coil wound on a light frame that rotates when current flows through it.
- **Magnet**: A strong permanent magnet provides the radial magnetic field. Horseshoe magnets are often used.
- **Soft Iron Core**: Positioned inside the coil to make the magnetic field radial, ensuring uniform sensitivity.
- **Suspension and Spring**: The coil is suspended using fine springs, which also conduct the current into and out of the coil and provide the restoring torque.
### Applications:
- **Measurement of Small Currents**: It is used to detect and measure very small electric currents in circuits.
- **Basis of Ammeter/Voltmeter**: By modifying the moving coil galvanometer (adding resistances), it can be converted into an ammeter or a voltmeter.
### Summary:
In essence, a moving coil galvanometer converts an electric current into mechanical deflection through the interaction of a current-carrying coil and a magnetic field. The resulting deflection is proportional to the magnitude of the current, making it a sensitive instrument for detecting and measuring small currents.