Calculating Current Supplied by Voltage Source (Complex algebra)

[jackrichie]

I've attached the question that I am referring to.

I believe I'm heading in the right direction with this one by stating that:

1/Rt = 1/(6+j8)Ω + 1/(9-j12)Ω

But I am confusing myself with my algebra.

Any help is appreciated

 

[berkeman]

I've attached the question that I am referring to.

I believe I'm heading in the right direction with this one by stating that:

1/Rt = 1/(6+j8)Ω + 1/(9-j12)Ω

But I am confusing myself with my algebra.

Any help is appreciated

Welcome to the PF.

[STRIKE]Looks good so far[/STRIKE]. (Oops, I missed the typo that jambaugh caught below) Go ahead and keep working though the algebra, and post your work so we can check it.

BTW, it's best if you format the equations with LaTeX, instead of having to carry a bunch of parenthesis along with plain text. There is an introduction to LaTeX in the PF FAQ thread in the Feedback Forum here:

https://www.physicsforums.com/showthread.php?t=617567

 

[jambaugh]

If your 6 is a typo and should be an 8, then fine but I'd call it 1/Z not 1/Rt. 1/Z is the Admittance = 1/Imped.
Then apply impedance to Ohm's law (ac form)
V = IZ

where $V = V_0 exp(j \omega t), I = I_0 exp(j \omega t + j \phi )$.

You get I as a complex multiple of V and so can get its magnitude to find peak current. For power dissipation you will need to take into account the phase shift $\phi$ since current and voltage won't peak at the same time.