Talked to my professor, he said Imax is 48/infinity and therefore goes to zero. There is no current and therefore no phase. Phase is undefined. Thankyou all for your help. Really helped solidify my understanding of this problem!
Ah, now I'm not sure what to conclude. It makes since if it was tan-1(infinity) = pi/2 or 90 degrees. This is consistent with the rest of the problem we've worked through. How would tan-1(infinity) = zero or undefined?
So, when calculating Zeq, I can show that the parallel components have infinite reactance, therefore I would not need to continue any other calculation except (R1 + R2) + imaginary component (infinity), and the rest of the problem is the same as my original attempt?
When calculating the phase...
I see, so that would explain why the phase angle is 0? The inductor/capacitor reactances have the same magnitude but cancel each other out because they are 180 degrees apart in phase?
Does that mean Imax approaches zero as it's denominator approaches infinity? I'm not sure what this means for...
I think I see what your saying, instead of computing everything algebraically to find Zeq, plug in values for L and C and compute those first?
ZL = iωL
ZC = 1/iωC
Plugging in the values from my original post for ZL + ZC I get:
1. ZL + ZC = -30i
2. Same as above = 30i
I'm not sure where to...
Ah, that makes sense. I'll keep working with the complex impedance values. Is the reply above on the right track?
Calculating Zeq for branch one, nothing jumps out that demonstrates I would be on the right track. This is what I got so far (using values for Z in my previous post):
Zeq1 =...
What about:
Using: ZC + ZRL
Gives us: (1/iωL) + 1 / ((1/R) + (1/iωL))
To get equation for ZRLC
ZRLC = R - ω2RLC + iωL / iωRC - ω2LC
Plugging in the values for R1 (4), C1 (20E-6), L1 (20E-3), ω (1000) I get (2.4 + 20i) / (0.80i - 0.40)
For Z2 I get (-12 + 50i) / (4.0i - 2.50)...
Like this (for Z1)?
XC = 1/(ω * C) = 1/(1000 * 20E-6) = 20
XL = ω * L = 1000 * 20E-3 = 50
R = 4
Z1 = √R2 + (XL + XC)2
Plugging in the values above, I get 30.27 for Z1
Doing the same thing for Z2 I get 31.05
Would Zeq be the sum of them both?
I've attached my work below. The numbers seem odd to me though. Are my equations correct? Is the phase angle really (0/12)? If so, what are the implications of that?