IGNOU MPH 5 2026 - Draw the lead-lag network of Wien bridge oscillator and obtain t

Question

Draw the lead-lag network of Wien bridge oscillator and obtain the expression for its oscillation frequency and required amplifier gain using time domain analysis.

19 Jan 2026

Answer :

Word Count : 466

The Wien bridge oscillator is a type of sinusoidal oscillator that uses a combination of a lead-lag RC network and a non-inverting amplifier. Its circuit consists of a series RC network (R₁, C₁) and a parallel RC network (R₂, C₂) connected in a bridge configuration. The output of this network is fed to the input of an amplifier, typically an operational amplifier, which provides the necessary gain to sustain oscillations. The lead-lag network can be represented as follows: * Series branch: ( R_1 ) in series with ( C_1 ) * Parallel branch: ( R_2 ) in parallel with ( C_2 ) * Input applied across the series branch, output taken across the parallel branch. Let ( V_o ) be the output voltage and ( V_i ) the input voltage to the network. Using voltage division in the frequency domain: [ V_o = \frac{Z_{\text{parallel}}}{Z_{\text{series}} + Z_{\text{parallel}}} V_i ] Where [ Z_{\text{series}} = R_1 + \frac{1}{s C_1}, \quad Z_{\text{parallel}} = \frac{R_2}{1 + s R_2 C_2}, \quad s = j \omega ] Substituting: [ \frac{V_o}{V_i} = \frac{\frac{R_2}{1 + s R_2 C_2}}{R_1 + \frac{1}{s C_1} + \frac{R_2}{1 + s

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