
Explore Mathcad Prime basics, including worksheets, text blocks, operators, functions, vectors, matrices, and calculations with units, with examples on resistors, plots, and color-coded inputs, results, and assumptions.
Define a reusable function for the ADC voltage from a voltage divider, parameterized by sensor voltage, pull-up and pull-down resistances, enabling symbolic then real-value calculations across equations.
Apply partial derivatives to a dc voltage function, compute derivatives with respect to pull-down and sensor inputs, and use symbolic calculation for the statistical analysis.
Plot and visualize dependencies using the ADC function, showing how pull-up and pull-down values affect the ADC voltage and the resulting voltage divider, via an xy plot.
Define the goal of the analysis by calculating a six sigma voltage deviation for a simple voltage divider circuit, using the color information and worksheet settings described in prior chapters.
Analyze a circuit diagram featuring a voltage divider with reference, pull-up, and pull-down resistors, and calculate the minimum, typical, and maximum divider voltages considering component tolerances.
Analyze a temperature sensor circuit used in control units to determine the ADC voltage at the microcontroller pin. Assess its components, including reference voltage, supply voltage, NTC thermistor, and capacitors.
In this course you will learn a well-founded methodology for calculating the statistical tolerance of different electrical circuits. After this course you will be able to calculate different circuits and analyze them down to the smallest detail. You will learn this methodology using typical examples from industry.
The PTC Mathcad Prime tool is used for the calculations and derivations. Other tools can also be used, here the focus is on the calculation method and not the tool itself.
The following course content is explained in detail:
Introduction to Statistical Analysis
Mathcad Prime Basic Functions
Statistic Basics
Voltage Divider Circuit
Introduction
Goal of the Calculation
Circuit Diagram
Parameter Definitions
Gaussian Propagation of Uncertainty
Partial Derivations
Results
Summary
Temperature Measurment Sensor Circuit
Introduction
Goal of the Calculation
Requirements
Circuit Diagram
Parameter Definitions
Gaussian Propagation of Uncertainty
Standard Deviation
Partial Derivation
Temperature Coefficient
Results
Summary
My goal is that after completing this course you will be able to analyze different circuits and calculate them in a professional way. This knowledge offers you the best prerequisites for professionally developing and analyzing circuits. As a student As a graduate, you can use this knowledge to gain an advantage over other applicants. This will prepare you ideally for future jobs and projects.