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electrical_engineering_and_electronics_1:block05 [2025/10/14 09:15] – mexleadminelectrical_engineering_and_electronics_1:block05 [2025/10/24 18:29] (aktuell) – [The loaded Voltage Divider] mexleadmin
Zeile 86: Zeile 86:
 $ U_1 = \LARGE{{U} \over {1 + {{R_2}\over{R_L}} + {{R_2}\over{R_1}} }}$ $ U_1 = \LARGE{{U} \over {1 + {{R_2}\over{R_L}} + {{R_2}\over{R_1}} }}$
  
-or on a potentiometer with $k$ and the sum of resistors $R_{\rm s} = R_1 + R_2$:+An alternative representation of the formula sticks more to the application. \\  
 +It uses: 
 +  - the position on a potentiometer given as $k={{R_1}\over{R_1 + R_2}}$ and  
 +  - the sum of resistors $R_{\rm s} = R_1 + R_2$. 
 +Both are more often used in real setups.
  
-$ U_1 = \LARGE{{k \cdot U} \over { 1 + k \cdot (1-k) \cdot{{R_{\rm s}}\over{R_{\rm L}}} }}$+Mathematically, both parameter lead to $R_1 = k \cdot R_{\rm s}$ and $R_2 = (1 - k) \cdot R_{\rm s}$. \\ 
 +When these tyo relations are included in rhe the formula above, we get:  
 + 
 +$ U_1 = U \cdot k \cdot \LARGE{{1} \over { 1 + k \cdot (1-k) \cdot{{R_{\rm s}}\over{R_{\rm L}}} }}$
  
 <imgref BildNr65> shows the ratio of the output voltage $U_1$ to the input voltage $U$ (y-axis), in relation to the ratio $k={{R_1}\over{R_1 + R_2}}$.  <imgref BildNr65> shows the ratio of the output voltage $U_1$ to the input voltage $U$ (y-axis), in relation to the ratio $k={{R_1}\over{R_1 + R_2}}$.