circuit analysis question

[andrewllewop]

hey got an exam coming up and was having issues with solving these questions. I'd appreciate alot if it could be done see the attached picture thnx. ]

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the top question by the way

 

[crutschow]

Do you know how to calculate the complex impedance of the R, L, and C in series? If not you might start here.

 

[godfreyl]

complex impedance

The question says to use time domain analysis. I've a nasty suspicion that means he has to use calculus rather than complex arithmetic. Yech.

 

[crutschow]

The question says to use time domain analysis. I've a nasty suspicion that means he has to use calculus rather than complex arithmetic. Yech.

You are correct. I missed that. It looks like there will be some messy calculus equations. Seems strange to do a time domain calculation for a sinewave source. Rather like using a sledgehammer to drive a nail.

Sorry but my calculus is way too rusty to give good advice on that. :wink:

 

[Ow@i$]

i would advise you to consult "Fundamentals Of Electric Circuits Alexander Sadiku-Mcgraw Hill" ..... easily available as well as perfect for these sort of basic concepts!!!

 

[an_82]

The value of inductor should be given, then u can write time domain equations as follow:
vs(t)=5*i(t)+Ldi/dt+vo (1)
i(t)=cdvo/dt (2)

(1) & (2) --> vs(t)=5*c*dvo/dt+Lcd2vo/dt2+vo (3)

solve the equation (3), find vo, replace in (2), then find i(t)