To Study the Wien Robinson's frequency Bridge            

Theory

#1 To calibrate the dial makring of signal generator by employing the Wien Robinson's bridge.

#2 To determine the response of the bridge with frequency varitation, when the bridge is set for 1000 Hz.

Rm501 Figure

Circuit Diagram

It is ratio real type bridge, for balance we have
$$\frac{R_1}{1 + j\omega C_1 R_1} * R_4 = (R_2 - \frac{j}{\omega C_2}) * R_3$$ $$\frac{R_4}{R_3} = \frac{R_2}{R_1} + \frac{C_1}{C_2} + j (\omega C_1 R_2 - \frac{1}{C_2 R_2})-----(1)$$ Equating real and imaginary parts of eq.(1), we have $$\frac{R_4}{R_3} = \frac{R_2}{R_1} + \frac{C_1}{C_2}-----(2)$$ and $$\omega C_1R_2 - \frac{1}{\omega C_2R_1} = 0------(3)$$ from eq.(3) we get omega (w) as $$\omega = \frac{1}{\sqrt{R_1R_2C_1C_2}}$$ if in eq. (2) we consider $$R_1 = R_2 and\ $$ $$C_1 = C_2$$ then we get the frequency (f) and another useful resistance ratio as $$f = \frac{1}{2 \pi \sqrt{R_1R_2C_1C_2}} and$$ $$\frac{R_4}{R_3} = 2$$