*5.88 Figure \( 5.106 \) shows an instrumentation amplifier driven by a bridge. Obtain the gain \( v_{o} / v_{i} \) of the amplifier.

Figure \( 5.106 \)

For Prob. 5.88.

Figure \( 5.106 \)

For Prob. 5.88.

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We need to find V_{T h} at terminals a-b, from this,\begin{array}{c}\mathrm{v}_{\mathrm{o}}=\left(\mathrm{R}_{2} / \mathrm{R}_{1}\right)\left(1+2\left(\mathrm{R}_{3} / \mathrm{R}_{4}\right)\right) \mathrm{V}_{\mathrm{Th}}=(500 / 25)(1+2(10 / 2)) \mathrm{V}_{\mathrm{Th}} \\=220 \mathrm{~V}_{\mathrm{Th}}\end{array}Now we use Fig. (b) to find \mathrm{V}_{\mathrm{Th}} in terms of \mathrm{v}_{\mathrm{i}}.(a)(b)\begin{array}{c}\mathrm{v}_{\mathrm{a}}=(3 / 5) \mathrm{v}_{\mathrm{i}}, \mathrm{v}_{\mathrm{b}}=(2 / 3) \mathrm{v}_{\mathrm{i}} \\\mathrm{V}_{\mathrm{Th}}=\mathrm{v}_{\mathrm{b}}-\mathrm{v}_{\mathrm{a}}(1 / 15) \mathrm{v}_{\mathrm{i}} \\\left(\mathrm{v}_{\mathrm{o}} / \mathrm{v}_{\mathrm{i}}\right)=\mathrm{A}_{\mathrm{v}}=-220 / 15=\mathbf{- 1 4 . 6 6 7}\end{array} ...