ELECTRICAL & ELECTRONICS PRINCIPLES Lecture 1: Learning Material A Lecturer: Ms. Zaeema Wajid Email: zaeema.wajid@bic.edu.pk 1. LEARNING AIM A The use of algebraic, trigonometric and statistical mathematical methods to solve engineering problems Analyzing Include Electrical Problems a full range of progression steps to indicate what will be expected in the set assignment. 2. LEARNING AIM A CONTENT A1. Algebra : The use of Transposition and Simplification In Solving i. Ohm’s Law and it’s Triangle ii. Coulomb's Law iii. Kirchhoff's Law iv. Mass, Density and Volume following transposition A2. Trigonometry: The use of Logarithms and Exponentials In understanding i. Capacitor Charging/Discharging A3. Statistical Methods: i. Resistor value reading 2. LEARNING AIM A (A1) Algebra: Transposition and Simplification Example 1 Addition/Subtraction : x + 10 = 15 1. Right hand side is 15 which is a constant number 2. Left hand side has a constant 10 and a variable x 3. We move/place/transpose constants to the one side and variables to the other 4. When we move some constant or variable from right to left/left to side it changes its sign as shown below Solution: x + 10 = 15 Step 1: Mention Constants and Variables x= Variable and Constants= 10 and 15 Step 2: Move constant 10 to the left side. As we move 10 it will change sign from + to - . Subtract 15 and 10. you will get value of x x = 15-10 x = 5 Answer 2. LEARNING AIM A (A1) Algebra: Transposition and Simplification Example 2 Addition/Subtraction : 2. LEARNING AIM A (A1) Algebra: Transposition and Simplification Example 3 Division/Multiplication: 2. LEARNING AIM A (A1) Algebra: Transposition and Simplification Example 4 Both Addition/Subtraction & Division/Multiplication: 2. LEARNING AIM A (A1) Algebra: Transposition and Simplification in terms of Engineering Example 5 : Ohm’s Law 1. Voltage is Directly Proportional to Current V∝𝐈 2. Remove ∝ with equal = and a constant value 𝑽 = 𝑹𝑰 3. Use transposition to rearrange the above equation and get the required equation 2. LEARNING AIM A (A1) Algebra: Transposition and Simplification in terms of Engineering Example 6 : Coulomb's Law 2. LEARNING AIM A (A1) Algebra: Transposition and Simplification in terms of Engineering Example 7 : Kirchhoff's Law 2. LEARNING AIM A (A2) A2. Logarithms and Exponentials 1. Logarithms Basics 2. LEARNING AIM A (A2) A2. Logarithms and Exponentials 2. Some important values of Logs to remember: 1. 2. 3. 2. LEARNING AIM A (A2) A2. Logarithms and Exponentials 3. Bases of Logs 2. LEARNING AIM A (A2) A2. Logarithms and Exponentials 3. Laws of Logs 2. LEARNING AIM A (A2) A2. Logarithms and Exponentials 1. Exponents 2. LEARNING AIM A (A2) A2. Logarithms and Exponentials 2. Exponents Examples 2. LEARNING AIM A (A2) A2. Logarithms and Exponentials 3. Capacitor Charging/Discharging Note: We will see Trigonometry and it’s functions while studying AC current. 2. LEARNING AIM A (A3) A3. i. Statistical Methods: Resistor value reading 2. LEARNING AIM A (A3) A3. i. Statistical Methods: Resistor value reading Example 1 2. LEARNING AIM A (A3) A3. i. Statistical Methods: Resistor value reading Example 2 2. LEARNING AIM A Tasks/Assignment Note: The related Tasks/Assignment of Learning Aim A will be share on Friday 04/11/2022. The deadline for submitting the Assignment will be Monday 07/11/2022.