Answer to Question #200353 in Electrical Engineering for A jaif

Question #200353

Design an operational amplifier circuit to form the weighted sum V0 = – (2V1+V2).


1
Expert's answer
2021-05-31T06:22:01-0400

Assume : Op-amp is ideal, so the virtual ground is applicable

"V^+" (non inverting) = "V^-" (Inverting)=0

By KCL at (Inverting terminal)

"\\frac{V_1}{R_1}+\\frac{V_2}{R_2}=\\frac{0-V_{out}}{2K}"

So, "V_{out}=-2K[\\frac{V_1}{R_1}+\\frac{V_2}{R_2}]=-[\\frac{V_1}{\\frac{R_1}{2K}}+\\frac{V_2}{\\frac{R_2}{2K}}]" .........(1)

Now comparing with given equation

"V_{out}=-[\\frac{V_1}{\\frac{1}{2}}+\\frac{V_2}{\\frac{1}{2}}]" .....................(2)

Comparing 1 and 2

"\\frac{R_1}{2K}=\\frac{1}{2}; \\frac{R_1}{2K}=2 \\implies R_1=1K \\Omega; R_2=4K \\Omega"


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