E^jwt formula

1. Why is Euler's formula used?
2. What is ejwt?
3. What does Euler's formula prove?
4. How do you write complex numbers in Euler form?

Why is Euler's formula used?

Euler's formula relates the complex exponential to the cosine and sine functions. This formula is the most important tool in AC analysis. It is why electrical engineers need to understand complex numbers.

What is ejwt?

The phase front of a exponential time varying quantity(charge distribution) 'ejwt' is a spherical wave front and is represented by e-jkR.

What does Euler's formula prove?

Euler's formula establishes the fundamental relationship between trigonometric functions and exponential functions. Geometrically, it can be thought of as a way of bridging two representations of the same unit complex number in the complex plane.

How do you write complex numbers in Euler form?

In complex numbers, Euler's formula bridges the gap between exponential and trigonometric functions. For example, if we have a complex number as z= a+ib, then according to Euler's rule or formula we can say that = cos z + sin iz. A simple and straightforward proof of Euler's formula is given by the power series.