Inspect
Review the problem, diagram, and evidence.
The gain equation requests -10 V, but the amplifier only has ±5 V rails.
Inspect, commit, prove, fix, and sign off.
Follow the investigation process used in the field — in five guided steps.
Review the problem, diagram, and evidence.
Choose your hypothesis.
Run calculations and test your idea.
Select and validate a safe correction.
See the full debrief and key takeaways.
An inverting op amp has R1 = 10 kΩ, Rf = 20 kΩ, Vin = +5 V, and ±5 V supplies. The ideal gain formula requests -10 V, but the real output cannot go beyond the negative supply limit and saturates.
Find the root cause, confirm the fix, and see how this connects to the exam.
Using the ideal gain formula without checking the requested output against supply/output limits.
An inverting gain of -2 with a +5 V input requests -10 V. With ±5 V supplies, the op amp cannot remain linear and saturates near the negative rail.
An inverting gain of -2 with a +5 V input requests -10 V. With ±5 V supplies, the op amp cannot remain linear and saturates near the negative rail.
Check the device model and operating region first, then apply the corresponding circuit equation.
The ideal gain equation requests -10 V, but the negative supply rail is only -5 V.
-Rf/R1 = -20 kΩ/10 kΩ = -2.
Each case is designed to build the judgment, analysis, and confidence you need for engineering exams — and beyond.
Basic subject familiarity helps, but every case is designed to teach through the investigation itself.
Most cases are designed for a focused 5–10 minute investigation.
Each case is mapped to a verified exam, subject, topic, and misconception before publication.
The sealed debrief unlocks with the root cause, corrected reasoning, fix, and takeaway.