Op Amp Practice

Question

Find the output voltage, Vout.

Answer

First we know that $ V_- $ = $ V_+ $
$ V_- $ = 20V = $ V_+ $ The next step would be to do nodal analysis at the node where the two resistor wires intersect.
Let's call that node V+:
$ \begin{align} \frac{V_+ - 0}{11}+0.5v_1 + \frac{V_+ - V_out}{44} = & 0\\ \frac{20}{11} + \frac{20 - V_out}{44} = & 0\\ 80 + 20 - V_out = 0 V_out = 100V \end{align} $

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