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A = −R_f/R_in

PHY070 · Electronics · College

Op-amp inverting gain

Objective: To measure the gain of an inverting op-amp amplifier and compare it with −R_f/R_in.

🧰 Apparatus

  • Op-amp IC (741 or TL071)
  • ±15 V (or ±12 V) dual DC supply
  • Resistors for R_in and R_f
  • Signal generator
  • Dual-channel oscilloscope

📐 Formulas and SI units

A_v = −R_f / R_in
V_out = A_v V_in (limited to about ±13 V on ±15 V rails)

💡 Theory

An op-amp with negative feedback keeps its two inputs at almost the same voltage. In the inverting circuit the − input is a 'virtual earth', so the input current V_in/R_in all flows through R_f. Hence V_out = −(R_f/R_in)V_in. The output cannot go beyond the supply rails, where it saturates.

🪜 Procedure

  1. Build the inverting amplifier on the breadboard with the dual supply.
  2. Feed a small sine wave into R_in.
  3. View input and output on the scope.
  4. Measure the peak values and calculate the gain.
  5. Change R_f and repeat; increase V_in until the output clips.

📋 Observations Simulated values

✅ Result and conclusion

R_f = 100 kΩ and R_in = 10 kΩ give a gain of −10, so 0.2 V in gives −2 V out (inverted).

🔬 In a real lab

Real op-amps have limited bandwidth and slew rate, so at high frequency the gain falls and the output shape distorts.

⚠️ Safety

Low-voltage dual DC supply only; check the IC pin numbers and polarity before switching on.

❓ Quick check

1. The minus sign in the gain means the output is…

2. R_f = 47 kΩ, R_in = 4.7 kΩ. Gain?

3. If the output tries to exceed the supply it…

🏋️ Practice

EasyGain −20, V_in = 0.1 V. V_out?

Answer: −2 V

MediumR_in = 2 kΩ, gain −50. R_f?

Answer: 100 kΩ

ChallengeV_out for gain −100 and V_in = 0.5 V on ±15 V rails?

Answer: Saturates at about −13 V