Convert ADC to Physical Units
Detailed Sensor Analysis
Understanding ADC and Sensor Calculations
Microcontrollers read analog sensors using an Analog-to-Digital Converter (ADC). The ADC converts a continuous voltage into a discrete digital number. To make this number useful, we must scale it back to the physical unit the sensor measures (e.g., temperature, distance, pressure).
📐 Core Formulas
Physical Value = Min_phys + ((ADC_raw / (2^n - 1)) × (Max_phys - Min_phys))
ADC_raw: The raw digital reading from the microcontroller.
n: ADC resolution in bits (e.g., 10 bits = max value 1023).
V_ref: The reference voltage of the ADC (e.g., 3.3V or 5.0V).
Min_phys / Max_phys: The sensor's minimum and maximum physical values.
🎯 Key Concepts Explained
- Ratiometric Sensors: Most analog sensors are ratiometric, meaning their output voltage is proportional to the supply voltage. If V_ref changes, the calculation automatically compensates if configured correctly.
- Resolution: The smallest change in voltage the ADC can detect. A 10-bit ADC at 5V has a resolution of ~4.88 mV per step. A 12-bit ADC at 3.3V has a resolution of ~0.8 mV per step.
- Quantization Error: The inherent uncertainty in ADC readings, equal to ±½ of the voltage resolution. This is the theoretical limit of precision for your setup.
- Linear vs. Non-Linear: This calculator assumes a linear relationship between voltage and the physical value. Sensors like thermistors (NTC/PTC) require the Steinhart-Hart equation or lookup tables instead of simple linear scaling.
💡 Best Practices for Sensor Accuracy
- Use Oversampling: Take multiple rapid readings and average them to reduce random noise and effectively increase ADC resolution.
- Add a Low-Pass Filter: A simple RC filter (resistor + capacitor) on the analog input pin smooths out high-frequency electrical noise.
- Verify V_ref: Ensure your microcontroller's actual reference voltage matches the value used in the calculation. USB 5V can often fluctuate between 4.75V and 5.25V.
- Calibrate at Two Points: For highest accuracy, measure the sensor's output at two known physical values and calculate the exact slope and offset, rather than relying on datasheet typicals.
- Avoid Clipping: Ensure the sensor's maximum output voltage does not exceed the ADC's V_ref, or the reading will "clip" at the maximum ADC value.
🔍 How to Use This Tool
- Enter the raw ADC value: The number your code reads from the analog pin.
- Select ADC resolution: Choose the bit-depth of your microcontroller (e.g., Arduino Uno is 10-bit, ESP32 is 12-bit).
- Set reference voltage: Enter the V_ref of your system (commonly 3.3V or 5.0V).
- Define physical range: Input the minimum and maximum values the sensor can measure, along with the unit name.
- Click "Calculate": Review the scaled physical value, voltage, and actionable calibration tips.
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