Tuesday 3 October 2017

Can anyone explain me how the voltage divider network works?


Can anyone explain me why the voltage of the red circle is 1.85V?


enter image description here


I know how the 25k-25k divider works but just don't know how the +5V-200k network affects the result.



Answer



Try to use superposition principle.


First set 3.3V to 0V and solve for \$V_O'\$



schematic


simulate this circuit – Schematic created using CircuitLab


$$V_O' = 5V*\frac{25k||25k}{25k||25k + 200k} = 5V*\frac{12.5k}{12.5k + 200k} = 0.2941V $$ Next turn on 3.3V and turn off 5V source (set to 0V)


schematic


simulate this circuit


$$V_O''= 3.3V * \frac{25k||200k}{25k+25k||200k} = 3.3V\frac{22.22k}{22.22k + 25k} = 1.552V$$


and finally we have the answer $$V_O=V_O'+V_O'' = 0.294 + 1.552V = 1.846V$$


Or try to do nodal analysis.


$$\frac{3.3V - V_O}{25k\Omega} + \frac{5V - V_O}{200k\Omega}=\frac{V_O}{25k\Omega} $$ And solve for \$V_O\$


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