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GATE Electrical 2014 Set 1 | Question: 22

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In the Wien Bridge oscillator circuit shown in figure, the bridge is balanced when

  1. $\dfrac{R_3}{R_4}=\dfrac{R_1}{R_2}\, \: \: \omega =\dfrac{1}{\sqrt{R_1C_1R_2C_2}} \\$ 
  2. $\dfrac{R_2}{R_1}=\dfrac{C_2}{C_1}, \: \: \omega =\dfrac{1}{R_1C_1R_2C_2} \\$
  3. $\dfrac{R_3}{R_4}=\dfrac{R_1}{R_2}+\dfrac{C_2}{C_1}, \: \: \omega =\dfrac{1}{\sqrt{R_1C_1R_2C_2}} \\$
  4. $\dfrac{R_3}{R_4}+\dfrac{R_1}{R_2}=\dfrac{C_2}{C_1},  \: \: \omega =\dfrac{1}{R_1C_1R_2C_2}$

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