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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