Can you help me finding the value of an R2 resistor to get the maximum "voltage range" the output?
We have the voltage divider and the upper resistor changes his resistance value from Rmin to Rmax.
And I want to find the lower resistor value (R2) that gives me the larges output voltage "swing".
\[ V_{DIFF} = V_{CC} * \frac{R_2}{R_2 + R_{min}} - V_{CC} * \frac{R_2}{R_2 + R_{max}} \]
\[ V_{DIFF} = V_{CC} *\left( \frac{R_2}{R_2 + R_{min}} - \frac{R_2}{R_2 + R_{max}}\right) \]
\[ \frac{V_{DIFF}}{V_{CC}} = \frac{R_2}{R_2 + R_{min}} - \frac{R_2}{R_2 + R_{max}} \]
And I think the question is how to find the derivative of this function?
We have the voltage divider and the upper resistor changes his resistance value from Rmin to Rmax.
And I want to find the lower resistor value (R2) that gives me the larges output voltage "swing".
\[ V_{DIFF} = V_{CC} * \frac{R_2}{R_2 + R_{min}} - V_{CC} * \frac{R_2}{R_2 + R_{max}} \]
\[ V_{DIFF} = V_{CC} *\left( \frac{R_2}{R_2 + R_{min}} - \frac{R_2}{R_2 + R_{max}}\right) \]
\[ \frac{V_{DIFF}}{V_{CC}} = \frac{R_2}{R_2 + R_{min}} - \frac{R_2}{R_2 + R_{max}} \]
And I think the question is how to find the derivative of this function?