P 6.4-4 The output of the circuit shown in Figure P 6.4-4 is v_o. The inputs are v₁ and v₂. Express the output as a function of the inputs and the resistor resistances.

Figure P 6.4-4

Annotating the circuit

By op-amp rules, inputs cannot carry current so all the labeled currents are the same i. Also and have to be as shown since both inputs must have same voltage value. So we can write out the current as

So making two equations here we can see

And recall

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This page last updated on March 14, 2019