Since K is irrotational, it's the gradient of a function.
Let defined in .
Show that the field is irrotational and calculate the general potential of this field.
I've calculated its curl (0), so the field is irrotational.
Now I must find, I believe, a vector field whose curl is . I called it but I've too much unknowns. I don't know how to solve the last part. Can someone help me?
In details I wrote and 2 other relations of the same kind. At last I ended up with at least 9 unknowns and only 3 equations.
I thought I had it, but I realize I made a mistake.
Now I got it, but I think I got it by chance. Would someone explain me how to reach from , and ?
I realized that . Which gives .
I was thinking about integrating with respect to and sum up a function then integrating with respect to y and sum up a function and integrating with respect to z and sum up a function . Lastly, summing all these functions and try to determine , and .
I just don't understand how I got the right result with what I've done...