Circuit Analysis I

What you'll learn

• Apply the passive sign convention to calculate power in any element, and model circuits with independent and dependent sources, resistors, capacitors and inductors
• Apply KCL and KVL, combine series and parallel elements, use voltage and current dividers, and transform wye and delta networks
• Account for tolerance, temperature, power ratings and instrument loading in resistive circuits, and analyse shunts, Kelvin connections, bridges and ladders
• Solve any linear DC circuit by nodal and mesh analysis, including supernodes, supermeshes and dependent sources, in matrix form
• Build nodal and modified nodal equations as matrices, solve them by computer, compute sensitivities and Thévenin equivalents numerically, and describe circuits as SPICE netlists
• Use superposition, source transformation, Thévenin and Norton equivalents and maximum power transfer to simplify and interpret circuits
• Model amplifiers and transistors with dependent sources, find resistances with test sources, and use z, y, h and ABCD two-port parameters
• Analyse inverting, non-inverting, follower, summing, difference and transimpedance op amp circuits and recognize the limits of real op amps
• Design instrumentation amplifiers, 4–20 mA interfaces, Schmitt triggers and ADC signal chains, accounting for CMRR, offset and quantization
• Analyse capacitors and inductors in DC steady state and at switching instants, combine them, and design integrators and hold-up storage
• Distinguish maximum power from maximum efficiency, model batteries, and evaluate DC distribution voltage, regulators and efficiency chains
• Carry a circuit from requirements through error budgets, worst-case and Monte Carlo analysis, prototyping and safety review