Differential Stages & Operational Amplifiers

Differential Stages & Operational Amplifiers: Differential Amplifiers, CMRR & Large-Signal Behaviour, Current Sources & Current Mirrors, Operational Amplifier Fundamentals & Non-Idealities, Op-Amp Circuits: Inverting, Non-Inverting, Summing, Difference & Integrator, Advanced Op-Amp Applications: TIA, Log, Precision Rectifier & Instrumentation, Comparators, Schmitt Triggers & Window Detectors.

• Differential Amplifiers, CMRR & Large-Signal Behaviour — The input stage of every op-amp. Learn differential and common-mode signals, the emitter/source-coupled pair, tail current sources, differential gain (single-ended and differential output), common-mode gain and CMRR, input resistance, the tanh large-signal transfer and linear input range, degeneration for wider linear range, offset voltage from mismatch, MOSFET pairs, active (current-mirror) loads with differential-to-single-ended conversion, and why fully differential signalling rejects noise — with Python computing gains, CMRR for resistor vs current-source tails, and the current-steering curve.
• Current Sources & Current Mirrors — Precise, stable currents for biasing and active loads. Learn ideal vs real current sources, output resistance and compliance, the basic BJT and MOS mirrors, β error and base-current compensation, emitter degeneration, the Widlar source for tiny currents, Wilson and cascode mirrors for high output resistance, current ratios by device scaling, mismatch and layout, and discrete current sources (transistor + zener/LED references, JFET and LM334) — with Python computing mirror errors, Widlar resistors and output resistances.
• Operational Amplifier Fundamentals & Non-Idealities — The most useful analog building block. Learn the ideal op-amp and its two golden rules, the internal architecture (differential input, gain stage, output stage, compensation), negative feedback and the virtual short, then every real limitation that shows up on a datasheet: finite open-loop gain, gain-bandwidth product, slew rate and full-power bandwidth, input offset voltage and drift, input bias and offset current, CMRR and PSRR, input and output voltage range (rail-to-rail), output current and capacitive-load drive, noise, and op-amp families (bipolar, JFET, CMOS, chopper, current-feedback) — with Python quantifying gain error, bandwidth, slew limits and DC errors.
• Op-Amp Circuits: Inverting, Non-Inverting, Summing, Difference & Integrator — The essential op-amp circuits and how to analyse any of them with the golden rules. Learn the voltage follower, inverting and non-inverting amplifiers, summing (mixer) amplifier, difference amplifier and its CMRR limit from resistor tolerance, integrator and differentiator (and their practical fixes), single-supply biasing with a mid-rail reference, AC-coupled amplifiers, and signal-gain vs noise-gain — with Python computing gains, summing outputs, difference-amp CMRR and integrator ramp rates.
• Advanced Op-Amp Applications: TIA, Log, Precision Rectifier & Instrumentation — Op-amps doing more than gain. Learn the transimpedance amplifier (photodiode front end) with its bandwidth and feedback-capacitor stability, logarithmic and exponential amplifiers, precision half- and full-wave rectifiers and peak detectors, the three-op-amp instrumentation amplifier, voltage-to-current (Howland) and current-to-voltage converters, active clamps and bootstrapping — with Python computing TIA bandwidth and C_f, log-amp slope and instrumentation-amp gain resistors.
• Comparators, Schmitt Triggers & Window Detectors — Turning analog into a clean yes/no. Learn comparator vs op-amp, open-loop operation, output types (push-pull, open-drain/collector), propagation delay and overdrive, why noise causes chattering, hysteresis with positive feedback (inverting and non-inverting Schmitt triggers), threshold design with a reference, window comparators, zero-crossing detectors, latched comparators, and practical layout/bypassing — with Python designing Schmitt thresholds and pull-up timing.