The circuit shown in Figure P4.75 is a Wheatstone bridge, which can be used to determine the reactance X4 of an inductor or capacitor. R1 and R2 are adjusted until vab is zero.
a. Assume a balanced bridge (vab = 0) and determine X4 in terms of the other circuit elements.
b. Assume a balanced bridge and let C3 = 4.7?F, L3 = 0.098 H, R1 = 100?, R2 = 1?, and
vS (t) = 24 sin(2,000t). What is the reactance of the unknown circuit element? Is it a capacitor or an inductor? What is its value?
c. What frequency should be avoided by the source in this circuit, and why?
Analysis:
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