Frequency in a circuit using complex notation

hockeynut

1. The problem statement, all variables and given/known data

The frequency, ω, of the source in the circuit of Figure 2 is adjusted until ig is in phase with vg.

(a)using complex notation, determine the value of ω (rad/sec)
(b)if vg = 20 sin ω t [where ω is the frequency found in 2(a)], determine an expression for the output voltage, v0



2. Relevant equations



3. The attempt at a solution
See attached attempt on Question A & B - can someone advise if it looks right?

Attached Thumbnails

   

gneill

I think your frequency ended up being one order of magnitude too high. Check your math.

hockeynut

Thanks gneill.
Ah so where I have 10 to the power of 8, it should be to the power of 6?

gneill

Well, you've got both 10⁶ and 10⁸ in the relevant area of your work, so you really should be more specific. But yes, that is the issue.