how to use CASIO FX-991ES in (ELECTRICAL ENGINEERING ) (Polar and Rectangular )------1

Abhishek Maurya
1 Jan 201711:28
EducationalLearning
32 Likes 10 Comments

TLDRThis video script offers a step-by-step tutorial on solving complex number problems in electrical engineering using a Casio FX-991ES calculator. The presenter demonstrates how to set the calculator to complex mode and solve five different problems, showing both rectangular and polar forms of the answers. The detailed instructions guide viewers through each step, from writing complex numbers with angles to converting between forms, making it an educational resource for students.

Takeaways
  • 🔍 The video is focused on solving electrical engineering problems using a Casio FX-991ES calculator.
  • 🔧 The calculator must be set to 'complex' mode to handle complex numbers, which is done by pressing 'MODE', then 'COMPLEX'.
  • 📝 To input complex numbers, use the 'SHIFT' button along with the angle button to write the angle in degrees.
  • 📈 The default output for complex number operations is in rectangular form, but it can be converted to polar form using specific calculator functions.
  • 📚 The script provides step-by-step instructions for solving five different complex number problems.
  • 📉 In electrical engineering, 'J' is commonly used to denote the imaginary unit, but the calculator uses 'i' (IOTA) instead.
  • 🔄 To convert an answer from rectangular to polar form, press 'ANS', then 'SHIFT', '2', and '3' on the calculator.
  • 📑 The 'SD' button is used to display the complete solution on the calculator screen.
  • 📐 Each problem involves writing the equation on the calculator, performing the calculation, and then converting the result to the desired form.
  • 📝 The script emphasizes the importance of correctly inputting complex numbers and using the calculator's functions to solve problems.
  • 🎓 The video is intended to help electrical engineering students understand how to use the Casio FX-991ES calculator for complex number calculations.
Q & A

  • What is the purpose of the video script?

    -The purpose of the video script is to demonstrate how to solve complex number problems in electrical engineering using a Casio FX-991ES calculator.

  • How does one set the calculator to complex mode?

    -To set the calculator to complex mode, press the 'Mode' button, then press the '2' button to select 'complex' mode, and the calculator will display 'complex' indicating it's now in complex mode.

  • What is the first problem presented in the script?

    -The first problem is to add two complex numbers: 5∠50 and 6∠60.

  • How do you write an angle in the calculator?

    -To write an angle in the calculator, press 'Shift' followed by the angle button, then enter the angle value.

  • What is the default form of the answer when you press equals?

    -The default form of the answer when you press equals is the rectangular form of the complex number.

  • How can you get the complete solution on the screen?

    -To get the complete solution on the screen, press the 'SD' button.

  • What does 'J' represent in electrical engineering?

    -In electrical engineering, 'J' represents the imaginary unit, often denoted as 'i' or 'I' in mathematics.

  • How do you convert the answer to polar form on the calculator?

    -To convert the answer to polar form, press the 'ANS' button, then 'Shift', '2', and '3', and finally press the equals button.

  • What is the process for solving a complex fraction on the calculator?

    -To solve a complex fraction, write the numerator and denominator values, then press 'Shift', '2', and '3' to get the answer in polar form, or use 'Shift', '-', '4' for rectangular form.

  • What is the significance of pressing 'SD' after calculating the answer?

    -Pressing 'SD' after calculating the answer ensures that the complete solution is displayed on the screen, including any necessary decimal or angle adjustments.

  • How does the script guide the viewer through converting a complex number from rectangular to polar form?

    -The script guides the viewer by instructing them to press specific buttons on the calculator after performing a calculation to switch between rectangular and polar forms of complex numbers.

  • What is the final step suggested in the script for viewers who like the video?

    -The final step suggested for viewers who like the video is to share it with other students of Electrical Engineering.

Outlines
00:00
🔍 Complex Number Calculations with Casio FX-991ES

The script provides a step-by-step guide on solving complex number problems using the Casio FX-991ES calculator. It begins by explaining how to set the calculator to complex mode, which is essential for solving electrical engineering problems involving complex numbers. The first problem involves adding two complex numbers: 5∠50 and 6∠60. The process of inputting the problem into the calculator, solving it, and displaying the result in both rectangular and polar forms is detailed. The script also covers converting the result from rectangular to polar form using specific calculator functions.

05:01
📚 Continuing Complex Number Calculations and Conversions

This paragraph continues the tutorial on complex number calculations, focusing on solving additional problems and converting results between rectangular and polar forms. It demonstrates solving a problem involving the addition of complex numbers with both real and imaginary components, and converting the result to polar form. The script also explains how to write complex numbers with angles directly into the calculator and how to use the calculator's functions to obtain complete solutions on the screen.

10:20
🔢 Advanced Complex Number Operations and Results Interpretation

The script delves into more complex operations, including the calculation of complex fractions and their conversion to both polar and rectangular forms. It shows how to input complex numbers into the calculator's numerator and denominator, solve for the result, and then convert it to the desired form. The explanation includes the use of specific calculator functions to ensure the results are displayed in a comprehensive and understandable manner, with a focus on obtaining the complete solution on the screen.

Mindmap
Keywords
💡Electrical Engineering
Electrical Engineering is a field of engineering that generally deals with the study, design, and application of equipment, devices, and systems which use electricity, electronics, and electromagnetism. In the context of the video, it is the main theme as the script discusses solving complex problems related to this discipline using a specific calculator.
💡Casio FX-991ES
The Casio FX-991ES is a scientific calculator known for its advanced functions, including the ability to handle complex numbers, which is crucial for solving problems in electrical engineering. The script demonstrates how to use this calculator to solve five different electrical engineering problems.
💡Complex Mode
Complex Mode is a setting on scientific calculators that allows for the input and calculation of complex numbers, which are numbers with a real part and an imaginary part. The script instructs the user to set the calculator to complex mode to solve the given problems, indicating the importance of handling complex numbers in electrical engineering calculations.
💡Polar Form
Polar Form is a way of representing complex numbers where a number is expressed in terms of its magnitude (or absolute value) and angle (or argument). The script mentions converting answers to polar form, which is a common representation in electrical engineering, especially when dealing with AC circuits and phasors.
💡Rectangular Form
Rectangular Form, also known as Cartesian Form, is another way to represent complex numbers using their real and imaginary components. In the script, the calculator initially provides answers in rectangular form, which is then optionally converted to polar form for a different perspective on the solution.
💡Angle
In the context of complex numbers, 'angle' refers to the argument of the complex number, which is the angle it makes with the positive real axis in the complex plane. The script repeatedly mentions entering angles, such as 'angle 50' or 'angle 60', when inputting complex numbers into the calculator.
💡J
In electrical engineering, 'J' is often used to denote the imaginary unit, which is the square root of -1. The script mentions 'J' when writing complex numbers in the calculator, indicating the imaginary part of the number.
💡I
The letter 'I' is used in the calculator instead of 'J' to represent the imaginary unit. This is because 'J' is already used in the calculator to represent the constant joules. The script explains that users should use 'I' (iota) when working with complex numbers.
💡SD
In the script, 'SD' refers to a button on the calculator that is used to display the complete solution on the screen. It is mentioned multiple times as a step to ensure that the full answer is visible after performing calculations.
💡Numerator and Denominator
These terms are used in the context of fractions. The script explains how to input complex numbers in both the numerator and the denominator when solving a problem involving division, which is an essential operation in electrical engineering.
💡Shift Button
The 'Shift' button on the calculator is used to access additional functions or modes, such as entering angles or switching between rectangular and polar forms of complex numbers. The script details the use of this button for various operations.
Highlights

Introduction to solving complex number problems in electrical engineering using the Casio FX 991 ES calculator.

Setting the calculator to complex mode for solving problems involving complex numbers.

Demonstration of solving the first problem: 5∠50 + 6∠60 in complex mode.

Explanation of writing angles in the calculator using the shift and angle button.

How to write complex numbers in the calculator and perform addition.

Using the SD button to get the complete solution in rectangular form.

Conversion of the result to polar form using specific calculator functions.

Explanation of the difference between 'J' in electrical engineering and 'AI' in the calculator.

Solving the second problem: 3 + 4J + 7∠70 and displaying the result in both rectangular and polar forms.

Method to write complex numbers with J and angles in the calculator.

Procedure for converting the calculator's result to polar form for complete visibility.

Solving a complex fraction problem and obtaining the result in polar form.

How to input numerator and denominator values for complex fraction calculations.

Conversion of the result to rectangular form using specific calculator functions.

Solving a division problem with complex numbers and displaying the result in both forms.

Final problem involves complex number division and conversion to both rectangular and polar forms.

Summary of the process for converting complex number results between rectangular and polar forms.

Encouragement to share the video with students of Electrical Engineering for educational purposes.

Transcripts

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