Frequency in a circuit using complex notation

[hockeynut]

Homework Statement

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

Homework Equations

The Attempt at a Solution

See attached attempt on Question A & B - can someone advise if it looks right?

 

[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]

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

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.