How Do You Convert \( e^{1+j2} \) to Cartesian Form?

AI Thread Summary
To convert \( 2.91 e^{1+j2} \) to Cartesian form, first separate the components into \( 2.91 e^{1} e^{j2} \). Then, apply Euler's formula to the \( e^{j2} \) term, which expresses it in terms of sine and cosine. This will allow for the conversion from polar to Cartesian coordinates. The user expressed gratitude for the guidance and indicated they would attempt the solution. The discussion emphasizes the importance of breaking down the complex exponential for easier conversion.
Silmax
Messages
4
Reaction score
0
complex numbers problem...need help

Hi all
Could anyone out there please help me with the solution to this problem.

Express 2.91e to the power of 1+j2 in Cartesian form (x+jy)

Sorry writing it out, but I don't know how to set it out on the computer.


I have tried solving the 1+j2 first then adding this to the real number then working it out in polar form then converting it to Cartesian, but I don't know if this is right.

Any help would be much appreciated.
Thank you
 
Physics news on Phys.org
Thank you

I shall give it a go.
Thank you for your help
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top