(b) Figure Q3(b) shows a simple capacitance bridge, also known as De Sauty bridge circuit and is used to measure an unknown capacitance. It consists of two purely capacitive impedances; standard capacitance (Zı) and unknown capacitance (Zx), and two purely resistive impedances; Z3 and Z4. (i) Based on a balanced bridge in Figure Q3(b), derive the formula for the unknown capacitance (Cx). (ii) The bridge has a standard capacitance of 0.1 µF and adjustable range of R3 and R4 from 1 kN to 200 kN. Analyze the minimum and maximum values of capacitance that can be measured using the bridge.
(b) Figure Q3(b) shows a simple capacitance bridge, also known as De Sauty bridge circuit and is used to measure an unknown capacitance. It consists of two purely capacitive impedances; standard capacitance (Zı) and unknown capacitance (Zx), and two purely resistive impedances; Z3 and Z4. (i) Based on a balanced bridge in Figure Q3(b), derive the formula for the unknown capacitance (Cx). (ii) The bridge has a standard capacitance of 0.1 µF and adjustable range of R3 and R4 from 1 kN to 200 kN. Analyze the minimum and maximum values of capacitance that can be measured using the bridge.
Introductory Circuit Analysis (13th Edition)
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Publisher:Robert L. Boylestad
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Transcribed Image Text:z,
C,
AC
voltage
supply
D
R3
R4
Z3
Figure Q3(b)

Transcribed Image Text:(b) Figure Q3(b) shows a simple capacitance bridge, also known as De Sauty bridge
circuit and is used to measure an unknown capacitance. It consists of two purely
capacitive impedances; standard capacitance (Zı) and unknown capacitance (Zx), and
two purely resistive impedances; Z3 and Z4.
(i)
Based on a balanced bridge in Figure Q3(b), derive the formula for the
unknown capacitance (Cx).
(ii) The bridge has a standard capacitance of 0.1 µF and adjustable range of R3 and
R4 from 1 k2 to 200 k2. Analyze the minimum and maximum values of
capacitance that can be measured using the bridge.
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