Solving the Gaussian Cube Question: Understanding E = 7.35i - 5.63(y2 + 9.74)j

[Zythyr]

http://img255.imageshack.us/img255/8083/47252155dr7.jpg

Okay I totally don't understand this problem at all. There is an example in the book also, but I just don't understand how to do it. Like the whole concept of how the E is written. I don't understand what this means: E = 7.35i - 5.63(y2 + 9.74)j.

 

[Zythyr]

I figured out the concept behind the vector notation of the eletric field. But now the only thing I don't understand is what is the net flux. How do I calculate the next flux.

 

[Moetasim]

Could you explain it to me?

As a scientist, it is important to have a strong understanding of mathematical concepts and equations in order to accurately interpret and analyze data. The equation provided, E = 7.35i - 5.63(y2 + 9.74)j, is written in the form of a complex number, where i represents the imaginary unit and j represents the imaginary unit in the y direction. The real part of the number is 7.35i and the imaginary part is -5.63(y2 + 9.74)j.

To solve this equation, we need to understand how to work with complex numbers. The first step is to simplify the equation by distributing the -5.63 to the terms inside the parentheses. This gives us E = 7.35i - 5.63y2 - 51.3262j. Next, we can combine like terms to get E = -5.63y2 + 7.35i - 51.3262j.

From here, we can see that the equation is in the form of a quadratic equation, where the coefficient of y2 is -5.63. To solve for y, we can use the quadratic formula, which states that the solutions for y are given by:

y = (-b ± √(b2 - 4ac)) / 2a

In this case, a = -5.63, b = 0, and c = 51.3262. Plugging these values into the formula, we get y = 5.13i and y = -5.13i.

Therefore, the solutions to this equation are E = 7.35i - 5.63(5.13i) - 51.3262j and E = 7.35i - 5.63(-5.13i) - 51.3262j.

In summary, the equation E = 7.35i - 5.63(y2 + 9.74)j represents a complex number with a real part of 7.35i and an imaginary part of -5.63(y2 + 9.74)j. By simplifying and solving for y, we can find the solutions to this equation. I hope this explanation helps you better understand the problem and how to solve it.