# Week 1 Tutorials

## Introduction

- Welcome! - We introduce ourselves and explain the tutorial format.

## Basic Tutorials

- The Circuit Abstraction - We look at a lightbulb, and see that abstracting away the circuit from the geometry of the wiring has no visible effect.
- Lightbulb Circuit - We look at the voltage across a lightbulb with a multimeter, and confirm the device is symmetric. In the process, we see reference directions for currents, voltages, and polarity for powers.
- Parallel Resistors - An explanation of equivalent circuits in the context of parallel resistors.
- Combination of Series and Parallel - Slightly more complex networks of resistors simplified with equivalent networks.
- Nodal Analysis - A simple example of nodal analysis.
- Floating Voltage - Nodal analysis with a floating source.
- Combination Rules - We show how to apply combination rules to solving simple circuits.

## Worked Problems

For the first week, we work through the first problem set from 2007

- OCW Exercise 1-1: Find voltages in a simple series and parallel circuit, and show power is conserved
- OCW Exercise 1-2 - Synthesize a network of 3/5k and 5/3k from at most four 1k resistors
- OCW Problem 1-1/Textbook 2.7 - Find the current through a resistor in a network of resistors
- OCW Problem 1-2 - Analyze long chains of resistors (similar to transmission lines or R1R2 ladders)
- OCW Problem 1-3 - Reverse engineer a black-box resistor network

Since the course has students from a diverse set of backgrounds, the first week's tutorials includes several extra segments, worked out with greater detail, to help bring everyone up to speed.