A shunt resistor is a precision resistor used to measure current in a circuit by converting the current flowing through it into a voltage. This method is known as current sensing, and it works based on Ohm's Law, which states that voltage (V) is equal to the current (I) multiplied by the resistance (R), or **V = I × R**.
### Key Working Principle:
When current flows through the shunt resistor, it creates a small voltage drop across it. Since the value of the resistor is known and very small (typically in milliohms), the voltage drop is proportional to the current. This voltage drop can be measured and then used to calculate the current using Ohm's Law.
### How it Works:
1. **Placement in the Circuit**:
- The shunt resistor is placed in series with the load whose current you want to measure. This ensures that the entire current flows through the resistor.
2. **Low Resistance**:
- The resistance of a shunt is kept very low (usually in the range of milliohms) to minimize power loss and voltage drop in the circuit. However, it must be high enough to produce a measurable voltage.
3. **Voltage Drop Measurement**:
- As current flows through the shunt, a small voltage drop is generated across it. This voltage is proportional to the current flowing through the resistor.
4. **Current Calculation**:
- By measuring the voltage drop (V) across the shunt and knowing the precise resistance (R) of the shunt, the current (I) can be calculated using the formula:
\[
I = \frac{V}{R}
\]
### Example:
- If a shunt resistor has a value of 0.001 ohms (1 milliohm) and the voltage measured across it is 0.01 volts, the current flowing through the circuit would be:
\[
I = \frac{0.01 \, \text{V}}{0.001 \, \Omega} = 10 \, \text{A}
\]
### Applications:
- **Current Monitoring**: Used in power supply circuits, battery management systems, and motor controllers to monitor current.
- **Overcurrent Protection**: Helps in detecting excessive current to protect the circuit.
- **Power Measurement**: Combined with voltage measurements to calculate power consumption.
### Advantages:
- **Simplicity**: Simple design and easy to implement.
- **Accuracy**: Provides accurate and reliable current measurements if properly designed.
### Considerations:
- **Power Dissipation**: Even though the resistance is low, high current can lead to heat dissipation, so the shunt resistor should be chosen with a suitable power rating.
- **Precision**: The shunt resistor must have a very precise and stable resistance to ensure accurate current measurement.
In summary, a shunt resistor works by converting the current into a small, measurable voltage drop, which is then used to calculate the current based on the known resistance of the shunt.