# Electrical Calculations

SKET 100## Course Description

Prerequisite: MATH LEVEL 3. Provides a foundation in the comprehension and analysis of computational skills required for the electrical field of study. Discusses scientific notation, metric prefixes, unit conversion, ratios, algebraic equations, right triangles, scalars, vectors, and graphing. Analyzes the sine wave by identifying characteristics that define the signal. Explains phasor representation of sine waves through the comparison of leading and lagging signals. Accomplishes addition and multiplication of phasors through the use of polar to rectangular conversions or right triangle calculations. Emphasizes entering calculations into a scientific calculator. Credit may be earned in SKET 100 or ET 100 but not both. (30-0)

## Outcomes and Objectives

### Reviews basic mathematics computations and develops problem-solving skills.

#### Objectives:

- Express quantitative data in scientific notation and perform math operations.
- Express quantitative data using metric prefixes and perform math operations.
- Translate quantitative data into different formats through the use of unit conversion techniques.
- Solve problems involving ratios, decimals, reciprocal, exponents, and fractions.
- Discuss and arrange algebraic equations to solve for unknown variables.
- Interpret the rate of change as it applies to circuits, without computing the derivative.
- Employ the proper method for utilizing a scientific calculator to solve problems.

### Arrange quantitative data in table or graphical format and interpret the results.

#### Objectives:

- Identify the four quadrants of a graph and interpret how they relate to negative and postive quantities.
- Sketch tabulated data and inspect the graph to solve problems.
- Sketch and analyze the graphs of the sine and cosine as a function of time or angle.
- Graph and compute basic log and exponential functions.
- Modify the gain control on an oscilloscope to evaluate the maximum, minimum, and peak-to-peak values of a signal.
- Modify the time base control on an oscilloscope to evaluate the period and frequency of a signal.

### Identify and analyze characteristics of the sine wave.

#### Objectives:

- Explain the concept of angular frequency.
- Explain the concept of leading and lagging electrical signals.
- Identify and calculate the phase angle, instantaneous value, peak, maximum, minimum, peak-to-peak, root mean square, average value, period, and frequency for various periodic signals.
- Calculate the wavelength of a signal.

### Perform calculations required in the electrical field of study.

#### Objectives:

- Analyze right triangles by using the trigonometric equations (sin, cos, and tan) to solve for unknown sides and angles.
- Analyze right triangles by using the Pythagorean theorem to solve for unknown sides of the triangle.
- Differentiate between scalar and vector quantities.
- Resolve vectors into horizontal and vertical components.
- Add and subtract vectors by resolving the vectors into components and adding the horizontal and vertical components.
- Describe the phasor representation of an electrical signal and construct the phasor diagram for electrical circuits.
- Interpret phasor diagrams by representing the signals as leading or lagging signals in the time domain.
- Convert phasors between polar and retangular coordinates.
- Add and subtract phasors using rectangular coordinates.
- Multiply and divide phasors using polar coordinates.