. . . Measurement of Capacitance by Wien Series Bridge . . Objective: To determine the capacitance of an unknown capacitor.                               Fig. 1. Wien Series Bridge Circuit . Let, C1= Capacitor whose capacitance is to be measured, R1= a series resistance representing the loss in the capacitor C1, C4 = a standard capacitance with series resistance of R4, R2 and R3 = non-inductive resistances. At balance,  $(R_1+\frac{1}{jwC_1})*R_3=(R_4+\frac{1}{jwC_4})*R_2--------(1)\\ R_1R_3+\frac{R_3}{jwC_1}=R_2R_4+\frac{R_2}{jwC_4}--------(2)\\$ Equating the real and imaginary terms, we obtain $R_1R_3=R_2R_4\\ R_1=\frac{R_2R_4}{R_3}-------------------(3))\\ and, \frac{R_3}{jwC_1}=\frac{R_2}{jwC_4} \\ C_1=\frac{C_4R_3}{R_2}----------------------(4)\\$ Two independent balance equations are obtained if C4 and R4 are chosen as the variable elements. The dissipation factor of capacitance C1 is defined as, $D_1=w*C_1*R_1-------------------(5)$         Cite this Simulator:iitkgp.vlab.co.in,. (2015). Measurement of Capacitance by Wien Series Bridge. Retrieved 26 April 2018, from iitkgp.vlab.co.in/index.php?sub=39&brch=124&sim=1786&cnt=1 ..... ..... .....
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