Operational amplifiers
Engineering Science · Higher · mrkellydt.co.uk
What you're learning in this topic
Learning intention WALT
We are learning about operational amplifiers, specifically to:
know
- inverting, non-inverting, summing, difference and comparator op-amp circuits
understand
- how a comparator switches an output
be able to
- calculate gain and output voltage, including saturation at about 85% of supply
- design an op-amp circuit with suitable resistor values
Success criteria WILF
- I can identify inverting, non-inverting, summing, difference and comparator op-amp circuits
- I can calculate gain and output voltage, including saturation at about 85% of supply
- I can design an op-amp circuit with suitable resistor values
- I can describe how a comparator switches an output
Op-amp basics HIGHER
An op-amp amplifies the difference between its two inputs: inverting (−) and non-inverting (+). It is powered from a supply, and its output can't exceed the supply: in SQA questions the output saturates at about 85% of the supply (e.g. 0.85 × 5 = 4.25 V).
Configurations and formulae HIGHER
| Configuration | Output | Use |
|---|---|---|
| Inverting | Vout = −(Rf ÷ Rin) × Vin | Amplify and invert a signal |
| Non-inverting | Vout = (1 + Rf ÷ R1) × Vin | Amplify without inverting |
| Comparator | Output high (saturated) when V+ > V−, otherwise low | Switch at a set level: sensor divider vs reference divider |
| Difference amplifier | Vout = (Rf ÷ R1) × (V2 − V1) | Amplify the difference between two signals, e.g. a strain-gauge bridge |
| Summing amplifier | Vout = −Rf × (V1/R1 + V2/R2 + …) | Add several signals, e.g. a mixer or digital-to-analogue converter |
| Voltage follower | Vout = Vin | Buffer: isolates a sensor from the load |
Gain = Vout ÷ Vin. Watch for saturation: if the formula gives more than 85% of the supply, the output saturates.
Windows and two comparators HIGHER
Two comparators with reference voltages from a divider chain (e.g. 1.2 kΩ, 3.3 kΩ, 1.2 kΩ on 5 V give 1.1 V and 3.9 V) can switch a motor on only when the input is between the two references. Describe what each op-amp, transistor or MOSFET and the motor do below, between and above the window.
Key terms
| Inverting amplifier | Vout = −(Rf/Rin) × Vin |
|---|---|
| Non-inverting amplifier | Vout = (1 + Rf/R1) × Vin |
| Summing amplifier | Vout = −Rf × (V1/R1 + V2/R2 + …) |
| Difference amplifier | Vout = (Rf/R1) × (V2 − V1) |
| Voltage follower | Vout = Vin; used as a buffer. |
| Comparator | Output high when V+ > V−, otherwise low. |
| Saturation | Output limited to about 85% of the supply. |
Quick check
1. Rf = 100 kΩ, Rin = 10 kΩ, Vin = 0.2 V (inverting). Vout is…
- −2 V
- 2 V
- 0.02 V
- −0.2 V
Show answer
2. Which configuration is used as a buffer?
- Summing amplifier
- Voltage follower
- Comparator
- Inverting amplifier
Show answer
3. A comparator output goes high when…
- V− > V+
- Both are equal
- V+ > V−
- Supply is off
Show answer
4. On a 12 V supply, an op-amp saturates at about…
- 12 V
- 0.7 V
- 6 V
- 10.2 V
Show answer
Printable worksheet
An I do, we do, you do worksheet for this topic, with a separate answer sheet.