Figure (mathrm{P}_{2}-4 underline{8}) shows a voltage bridge circuit, that is, two voltage dividers in parallel with a

Question:

Figure $\mathrm{P}_{2}-4 \underline{8}$ shows a voltage bridge circuit, that is, two voltage dividers in parallel with a source $v_{\mathrm{S}}$. One resistor $R_{\mathrm{X}}$ is variable. The goal is often to "balance" the bridge by making $v_{\mathrm{x}}=\mathrm{OV}$. Derive an expression for $R_{\mathrm{X}}$ in terms of the other resistors for when the bridge is balanced.

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