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EE notes

EE Notes

Math and Equations

Math

Engineering Notation

Scientific notation where exponents are multiples of three: https://en.wikipedia.org/wiki/Engineering_notation

Metric Prefixes

https://en.wikipedia.org/wiki/Engineering_notation#Overview

Equations

Circuit Analysis

Resistor Networks

Resistors in series or complicated resistor networks can be replaced by one single equivalent resistor, REQ or impedance, ZEQ and no matter what the combination or complexity of the resistor network is, all resistors obey the same basic rules as defined by Ohm’s Law and Kirchoff’s Circuit Laws.

Resistors in series

REQ = R1 + R2 + ... Rn

http://www.electronics-tutorials.ws/resistor/res_3.html

Resistors in parallel

1/RT = 1/R1 + 1/R2 + ... 1/Rn = (R1 * R2 * ... Rn) / (R1 + R2 + ... Rn)

Schematic Equivalence

To be equivalent, two schematics must:

  • Represent every component and source
  • Have the same number of nodes
  • Each node must be connected to the same branches

Drawing a good schematic

  • Place inputs on the left, and outputs on the right.
  • Let information flow from left to right across the circuit.
  • Use up/down on the page to suggest voltage levels. That is, draw higher voltage wires closer to the top of the page, and lower voltages (like ground) near the bottom of the page.

See: https://www.khanacademy.org/science/electrical-engineering/ee-circuit-analysis-topic/circuit-elements/a/ee-circuit-terminology

Sign convention for passive components

A passive component is one that does not amplify a signal. We say that current goes into the positive side or travels in the direction of positive to negative.

More resources

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