Hi!
How would you find the v-i relationship of the ideal op-amp circuit below for the interval of linear operation ?
Let \( V_{out} \) be the voltage between \( R_3 \) and \( R_2 \). Then:
\( V_{out} = v - R_3 i \)
Because of \( V^+ = V^- \) and KCL:
\( V_{out} - (i + i_0) R_2 = v \)
\( i_0 + i = \frac{v}{R_1} \)
Solving this system of equations we get:
\( v = - \frac{R_3}{R_2} R_1 i \)
However, according to the book the correct solution should be:
\( v = - \frac{R_2}{R_3} R_1 i \)
Which of the two solutions is the correct one?
How would you find the v-i relationship of the ideal op-amp circuit below for the interval of linear operation ?
Let \( V_{out} \) be the voltage between \( R_3 \) and \( R_2 \). Then:
\( V_{out} = v - R_3 i \)
Because of \( V^+ = V^- \) and KCL:
\( V_{out} - (i + i_0) R_2 = v \)
\( i_0 + i = \frac{v}{R_1} \)
Solving this system of equations we get:
\( v = - \frac{R_3}{R_2} R_1 i \)
However, according to the book the correct solution should be:
\( v = - \frac{R_2}{R_3} R_1 i \)
Which of the two solutions is the correct one?