Four strain gauges $\mathrm{R}_{\mathrm{A}}, \mathrm{R}_{\mathrm{B}}, \mathrm{R}_{\mathrm{C}}$ and $\mathrm{R}_{\mathrm{D}}$, each with nominal resistance $\mathrm{R}$, are connected in a bridge configuration. When a force is applied, $\mathrm{R}_{\mathrm{A}}$ and $\mathrm{R}_{\mathrm{D}}$ increase by $\Delta \text{R}$ and $\mathrm{R}_{\mathrm{B}}$ and $\mathrm{R}_{\mathrm{C}}$ decrease by $\Delta \text{R}$ as shown. A potentiometer with total resistance $\mathrm{R}_{\mathrm{v}}$ is connected as shown. If $\text{R}=100 \; \Omega$, and $\Delta \text{R}=1 \; \Omega$, the minimum value of resistance $\mathrm{R}_{\mathrm{V}}$ required to balance the bridge is____________$\Omega$ (rounded off to two decimal places).
