Question about sinusoidal steady-state analysis

[e0ne199]

hello everyone, i have a problem related with sinusoidal steady-state analysis, the problem is like this :

the circuit for the question is like this :

i am still unable to find the answer for the question (b), the answer i got is not the same as the one provided by the question above, my attempt to get the solution is like this :

do you know how to get the same answer as the one provided by the question above? thanks before

 

[gneill]

I suspect that there's something wrong with the problem statement in that the given solution values are not correct. I certainly didn't arrive at their values.

edit: fixed a minor typo

 

[NascentOxygen]

how to get the same answer as the one provided by the question above?

$I_S\ =\ I_C\ +\ I_{R_2}$
Capacitor and resistor currents here should be 90° out of phase, but your working shows them in phase. It looks like you are substituting wrong data for $I_C$. As does the book.

And I think at some stage you have mistaken your scribbled digit 3 for an 8?

 

[e0ne199]

$I_S\ =\ I_C\ +\ I_{R_2}$
Capacitor and resistor currents here should be 90° out of phase, but your working shows them in phase. It looks like you are substituting wrong data for $I_C$. As does the book.

And I think at some stage you have mistaken your scribbled digit 3 for an 8?

haha lol you are right, i did insert a wrong value after looking at it again...so that means i am still unable to solve question (a) too...anyway is the answer from the question wrong or is there another way to solve it?

 

[e0ne199]

anyway this is the revision for my answer :

could you point out which is wrong for the solution i have just made above?

 

[e0ne199]

I suspect that there's something wrong with the problem statement in that the given solution values are not correct. I certainly didn't arrive at their values.

edit: fixed a minor typo

i have tried to find the exact same answer as the one provided by the question but i am still unable to get it until now and i am starting to think that probably my approach is wrong ... is my way to get the answer wrong or is it the answer itself which is wrong?? i hope you could correct anything wrong in my question..

 

[gneill]

could you point out which is wrong for the solution i have just made above?

Your solution looks correct. The book's answers are not correct.

May I point out that I had to struggle quite a bit to make out some of your handwriting, particularly the tiny, squished together numbers for some of the angles. I might have replied sooner if I didn't have to "sleuth" through your handwriting. In future, please make sure that your submissions are easily readable, even on small screens like phones or tablets. Better yet, type in your equations. LaTeX syntax is supported here, and the edit toolbar contains icons for making subscripts, superscripts, and access to many math symbols via the $\Sigma$ icon.

 

[e0ne199]

Your solution looks correct. The book's answers are not correct.

May I point out that I had to struggle quite a bit to make out some of your handwriting, particularly the tiny, squished together numbers for some of the angles. I might have replied sooner if I didn't have to "sleuth" through your handwriting. In future, please make sure that your submissions are easily readable, even on small screens like phones or tablets. Better yet, type in your equations. LaTeX syntax is supported here, and the edit toolbar contains icons for making subscripts, superscripts, and access to many math symbols via the $\Sigma$ icon.

thx for the reply, i will do it in my future post

 

[gneill]

Thank you, it would be greatly appreciated by our homework helpers.