Phase Angle Analysis of RC Circuits

[nhenzie]

Homework Statement

Find the phase angle between the input and output voltages in the following two circuits - in each case state whether the output leads or lags the input voltage.

The second circuit is the same but the capacitor and the resistor are switched around.

Homework Equations

I'm not really sure, this is why I'm here, I don't know how to use the information I have to get the answer.

The Attempt at a Solution

So far I have:

Zr = 1000Ω∠0
Zc = 795.77Ω∠-90
Zt = 1278Ω ∠-38.51
It = 19.562 mA ∠ 38.51
Vr = 19.56v ∠38.51
Vc = 15.57v ∠-51.49

 

[gneill]

Homework Statement

Find the phase angle between the input and output voltages in the following two circuits - in each case state whether the output leads or lags the input voltage.

The second circuit is the same but the capacitor and the resistor are switched around.

Homework Equations

I'm not really sure, this is why I'm here, I don't know how to use the information I have to get the answer.

The Attempt at a Solution

So far I have:

Zr = 1000Ω∠0
Zc = 795.77Ω∠-90
Zt = 1278Ω ∠-38.51
It = 19.562 mA ∠ 38.51
Vr = 19.56v ∠38.51
Vc = 15.57v ∠-51.49

Hi nhenzie, Welcome to Physics Forums.

You've calculated a phase angle in association with Vr. How do you interpret that?

 

[nhenzie]

Thanks, I've been an avid browser of this forum for help with homework, it's been a great resource so far.

I guess I would say that Vr leads the input voltage by 38.51 degrees, and in the 2nd circuit the output voltage lags the input voltage by 51.48...I'm thinking I just answered the question myself...thanks for the guidance, I should probably think things over a bit more before posting...