Mathmatical principles Flashcards
What are the three main trigonomic ratios?
sin (sine)
cos (cosine)
tan (tangent)
What is trigonometry?
A field of mathematics relating to the lengths and angles of triangles.
What is trigonometry used for in electrical science?
It is used to calculate the power factor in AC Circuits
What is the name for the longest side of a triangle?
The hypotenuse
What is statistics?
A field of maths relating to data, collection and its presentation.
What is Range as it relates to statistics?
The difference between the highest and lowest value in any given data set.
What is Range as it relates to statistics?
The central tendency of a set of data, calculated by adding the values and then dividing by the number of items.
What is Median as it relates to statistics?
The value which appears at the centre point of the data set.
What is Mode as it relates to statistics?
The most frequently occuring values in the data set.
How would you calculate the following statement?
The maximum permittable voltage drop for a lighting circuit is 3% of the supply voltage.
Assuming that supply voltage is 230V, how would you calculate the total permissable voltage drop?
- Turn 3% into a decimal: 0.03
- Multiply this decimal by the larger number: 0.03 x 230 = 6.9
- Add the voltage: 6.9V
What does the pythagorean theorum state?
For all right angled triangles, the square of the hypotenuse (longest side) is equal in area to the sum of the squares of the other two sides:
C² = A² + B²
What is the pythagorean theorum used for in electrical science?
Calculating power and impedance in AC Circuits
What is the key rule to remember when transposing formulae?
You must do the same thing to both sides of the equation:
* Addition
* Subtraction
* Multiplication
* Division
* Functions (squares & reciprocals)
What is the key objective when transposing one letter or number across the equals sign of an equation?
You are trying to get the letter or number you want to get across the equals sign to get to zero.
This will remove it from that side of the equation.
You must do the opposite of what it states on any given side, for eg. if something is divided in the initial equation, you must multiply it to get it across the line.
What does RMS stand for?
Root Mean Squared
