Question 7.17: Determine the value of Rx in the balanced bridge shown in Fi...

Determine the value of R_{\chi} in the balanced bridge shown in Figure 7-47.

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The scale factor is

\frac{R_{2}}{R_{4}}= \frac{150 \ \Omega }{100 \ \Omega } = 1.5

The bridge is balanced (V_{OUT} =0 V) when R_{V} is set at 1200 Ω, so the unknown resistance is

R_{\chi }= R_{V}\left(\frac{R_{2}}{R_{4}} \right)= \left(1200 \ \Omega \right) \left(1.5\right) = 1800 \ \Omega

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