Commerce Exam  >  Commerce Videos  >  Mathematics (Maths) Class 11  >  Powers of i (iota)

Powers of i (iota) Video Lecture | Mathematics (Maths) Class 11 - Commerce

75 videos|238 docs|91 tests

Top Courses for Commerce

Video Timeline
Video Timeline
arrow
00:03 Unit Imaginary Number
00:24 Cube of i (unit imaginary number)
00:52 4th power of i
01:41 Psychical pattern in the powers of i
02:21 What are Imaginary Numbers
More

FAQs on Powers of i (iota) Video Lecture - Mathematics (Maths) Class 11 - Commerce

1. What is the value of i raised to the power of 0?
Ans. The value of i raised to the power of 0 is 1. It follows the general rule that any number (except 0) raised to the power of 0 is equal to 1.
2. How do you simplify expressions involving powers of i?
Ans. To simplify expressions involving powers of i, we can use the fact that i raised to the power of 4 is equal to 1. By reducing the power of i modulo 4, we can simplify the expression and find its value.
3. What are the powers of i in a cycle?
Ans. The powers of i follow a cyclic pattern. Starting from i^0 = 1, the powers of i repeat after every fourth power: i^1 = i, i^2 = -1, i^3 = -i, and i^4 = 1. This cycle continues indefinitely with the same pattern.
4. How can we use powers of i in solving complex equations?
Ans. Powers of i are commonly used in solving complex equations and working with imaginary numbers. They allow us to simplify expressions, find roots of complex numbers, and perform various calculations involving imaginary quantities.
5. What are some applications of powers of i in real-world scenarios?
Ans. Powers of i have various applications in fields such as engineering, physics, and signal processing. They are used in AC circuit analysis, electromagnetic theory, Fourier analysis, and quantum mechanics, to name a few. Understanding powers of i is crucial in these areas to accurately model and analyze complex phenomena.
Video Timeline
Video Timeline
arrow
00:03 Unit Imaginary Number
00:24 Cube of i (unit imaginary number)
00:52 4th power of i
01:41 Psychical pattern in the powers of i
02:21 What are Imaginary Numbers
More
Explore Courses for Commerce exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

Sample Paper

,

Powers of i (iota) Video Lecture | Mathematics (Maths) Class 11 - Commerce

,

mock tests for examination

,

shortcuts and tricks

,

Free

,

pdf

,

Semester Notes

,

Previous Year Questions with Solutions

,

Powers of i (iota) Video Lecture | Mathematics (Maths) Class 11 - Commerce

,

Powers of i (iota) Video Lecture | Mathematics (Maths) Class 11 - Commerce

,

practice quizzes

,

Important questions

,

video lectures

,

study material

,

Extra Questions

,

ppt

,

Exam

,

Viva Questions

,

MCQs

,

Objective type Questions

,

past year papers

,

Summary

;