Phasor circuit - solving for R and L

[matthallo]

Homework Statement

Photo attached

The attempt at a solution[/b]

I have converted the RMS voltages to peak voltages, with these results:

Vs=205
V1=70.7
V0=155.6

And I am assuming we need to apply KVL somehow, but I am not sure how to proceed. I am assuming we want to find V0, and then it will follow that the REAL component of the voltage is the voltage across R, and the IMAGINARY component will be the voltage across L.

 

[Zryn]

And I am assuming we need to apply KVL somehow

Can you show some working for a KVL analysis around this circuit?

I am assuming we want to find V0

You should be able to find it quite easily.Can you list the variables that are unknown, and theorize on how can you find them?

 

[vk6kro]

You could draw a right angled triangle with the two voltages across resistors along one of the shorter sides (the horizontal one) and the voltage across the inductor across the the other short side (the vertical one) and the long side would have the total voltage across it.

Then it becomes a trigonometry problem to find the unknown voltages and knowing the current and frequency, you can calculate the values of the components.

Or you could draw it very precisely and solve it graphically.