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Question Bank (3 marks) · Q7

Q.Show how an operational amplifier can be used as a subtractor.

Karnataka PUCTextbookLong· 3mImportance★★★★★est
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[!TLDR]

A balanced difference amplifier gives Vo=V2−V1V_o = V_2 - V_1.

Circuit: V1V_1 reaches the inverting (−) input through R1R_1 with feedback RfR_f; V2V_2 reaches the non-inverting (+) input through R2R_2, and R3R_3 connects the (+) input to ground.

Derivation (superposition):

  • With V2=0V_2 = 0, the circuit is an inverting amplifier: Vo1=−RfR1V1V_{o1} = -\dfrac{R_f}{R_1}V_1.
  • With V1=0V_1 = 0, the (+) input voltage is V2R3R2+R3V_2\dfrac{R_3}{R_2+R_3} and the stage acts non-inverting: Vo2=(1+RfR1)R3R2+R3V2V_{o2} = \left(1+\dfrac{R_f}{R_1}\right)\dfrac{R_3}{R_2+R_3}V_2. …

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