This problem seems so simple, but I CANNOT get the right answer. Here is the work I've done so far: I've also attached the work, but if anyone wants to check the links before it gets approved, please be my guest. The books says that the correct answer is: V0 = 2.24 at an angle of -153.43 I don't understand what I'm doing wrong !
Not exactly the most helpful tip, but you will get the answer in the book (according to the method you used) if the mutual inductance is 2j instead of j.
I think you mixed the inductance in your equations. I agree with doodle, if you use j2 you'll get the answer in the back of the book.
Why would the mutual inductance term be 2j? Isn't M defined by as [itex] j1\omega [/itex] ? If I use 2j I get the book's answer, but I don't understand why I should use 2j.
I am not sure why you should say that M is defined as j1w. Or perhaps you are trying to say that the question explicitly gave M = j1w? A quick browse in my Circuit Theory textbook reveals that M depends on the coupling coefficient, k, and then M = k sqrt(L1*L2).
Oh sorry about the latex confusion. Yes, the question explicitly said that [itex] M = j1\Omega [/itex] I typed a small omega instead of a big one.