C. K. Alexander & M. N. O. Sadiku, Fundamentals of Electric Circuits, 7th ed., McGraw-Hill, Ch. 2.
Ohm's law, resistance/conductance, resistor power and elementary DC circuits.
DC-01
Course overview
Ohm's law and resistive elements
The resistor is the first component for which voltage and current are tied by a constitutive law. This course develops Ohm's law from the component viewpoint, distinguishes resistance from conductance, connects the law to power and I-V geometry, then solves the first complete one-loop circuits.
5 chaptersintroductory
Prerequisites
- EF-00 — electrical quantities
- EF-01 — references and notation
By the end of the course
- Use Ohm's law with explicit references.
- Convert resistance and conductance.
- Calculate resistor power.
- Read a linear I-V characteristic.
- Solve and verify a first DC loop.
Syllabus
Five readings from electrical quantities to the first circuit element.
The resistor is the first component for which voltage and current are tied by a constitutive law. This course develops Ohm's law from the component viewpoint, distinguishes resistance from conductance, connects the law to power and I-V geometry, then solves the first complete one-loop circuits.
- 01→
The resistor and Ohm's law
A linear resistor links the voltage across it to the current through it.
80–105 min · Introductory - 02→
Resistance and conductance
Resistance measures opposition to current; conductance is its reciprocal and often makes parallel reasoning easier.
75–100 min · Introductory - 03→
Power dissipated in a resistor
For a passive resistor, Ohm's law and P=VI give three equivalent power formulas.
80–105 min · Introductory - 04→
Linear I-V characteristics
Ohm's law is a straight line through the origin; its slope reveals resistance or conductance depending on the axes.
75–100 min · Introductory - 05→
First one-loop circuits
An ideal DC source and resistors form the first complete circuit problems: reference, law, solution, power and check.
90–120 min · Introductory
Reference backbone
References used
The course cross-checks the ideal circuit model against several viewpoints: standard circuit texts for the algebra, Feynman and MIT for physical/lumped-abstraction intuition, and The Art of Electronics for real-resistor engineering limits.
A. Agarwal & J. H. Lang, Foundations of Analog and Digital Electronic Circuits, Morgan Kaufmann, Ch. 1; MIT 6.002 lectures 1–2.
Lumped-circuit abstraction, element I–V relations and systematic circuit reasoning.
R. P. Feynman, R. B. Leighton & M. Sands, The Feynman Lectures on Physics, Vol. I, Ch. 25 and Vol. II, Ch. 22 §22-3.
Physical intuition for resistance, Ohm's law and the fact that real material linearity is an approximation.
P. Horowitz & W. Hill, The Art of Electronics, 3rd ed., Cambridge University Press, Ch. 1 and Appendix D.
Practical resistor use, tolerances, ratings, source/load intuition and real-component judgement.
J. W. Nilsson & S. A. Riedel, Electric Circuits, 11th ed., early chapters.
Independent undergraduate treatment of resistive elements, power and basic network checks.
AoN ADR-0018 — Electrical notation and sign conventions.
Normative voltage/current arrow and DC notation used in every schematic and equation.