
-2000mV 7174
-1500mV 13605
-1000mV 19976
-500mV 26404
0 mV	32814
500 mV	39203
1000 mV	45607
1500 mV	51997
2000 mV	58360

on RHS are the of an ADC with their respective voltages on LHS. mV stands for mili volt. give me formula to convert the ADC values to mV values .

To derive a formula that converts ADC values to mV (millivolt) values, we can assume a linear relationship between the ADC values and the voltages. The general formula for converting ADC values to voltages is given by the equation of a line:

\[
V = m \times \text{ADC} + b
\]

Where:
- \( V \) is the voltage in mV.
- \( \text{ADC} \) is the ADC value.
- \( m \) is the slope of the line.
- \( b \) is the intercept (offset) on the voltage axis.

We can calculate the slope \( m \) using the two extreme points provided (assuming the relationship is linear). Let's choose the points corresponding to \( -2000 \, \text{mV} \) and \( 2000 \, \text{mV} \):

Given points:
- \( (-2000, 7174) \)
- \( (2000, 58360) \)

### Step 1: Calculate the slope \( m \)
The slope of the line is calculated as:

\[
m = \frac{\Delta V}{\Delta \text{ADC}} = \frac{2000 - (-2000)}{58360 - 7174} = \frac{4000}{51186}
\]

\[
m \approx 0.07815 \, \text{mV per ADC unit}
\]

### Step 2: Calculate the intercept \( b \)
Now, use one of the points (e.g., \( (-2000, 7174) \)) to calculate \( b \):

\[
-2000 = 0.07815 \times 7174 + b
\]

Solving for \( b \):

\[
b = -2000 - (0.07815 \times 7174) = -2000 - 560.6 = -2560.6 \, \text{mV}
\]

### Final Formula:
The formula for converting ADC values to mV is:

\[
V = 0.07815 \times \text{ADC} - 2560.6
\]

This formula should give you the approximate millivolt value for any ADC reading in the given range.

Would you like further clarification or details on how this formula was derived?

### Related Questions:
1. How accurate is this formula for values outside the given ADC range?
2. Can you apply this method to non-linear data, and how?
3. How does ADC resolution affect the precision of this formula?
4. What assumptions were made in deriving the linear relationship?
5. How can we improve the precision of the intercept calculation?

### Tip:
Always verify the linearity of your data points before assuming a linear model for conversions like ADC to voltage.

2000mV 7174
-1500mV 13605
-1000mV 19976
-500mV 26404
0 mV 32814
500 mV 39203
1000 mV 45607
1500 mV 51997
2000 mV 58360

on RHS are the values of an ADC with their respective voltages on LHS. mV stands for millivolt. Give me a formula to convert the ADC values to mV values.

Explore how to derive a linear conversion formula for ADC values to millivolts using algebraic concepts and the slope-intercept form. This problem demonstrates the process of calculating the slope and intercept for a linear relationship between ADC readings and voltages, making it suitable for high school students.

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