- #1
TheBigDig
- 65
- 2
Homework Statement
Homework Equations
##V = ZI##
##Z_R = R##
##Z_C = -\frac{j}{\omega C}##
##Z = \sqrt{R^2 + (\frac{1}{\omega C})^2}##
##P_{av} = \frac{1}{2}V_m I_m cos(\phi)##
##\phi = arctan(\frac{-1/\omega C}{R})##
##\Delta \phi = \phi _1 -\phi _2##
The Attempt at a Solution
I've found what I believe to be the solution to the first part ##Z_{in} = Z_R + Z_C = 5\Omega - 3.97j \Omega## and the admittance which is ##Y = \frac{1}{Z}##
For part b, I calculated the magnitude of Z and got ##Z = 6.83 \Omega ## and then found the current using ##I_m = \frac{V_m}{Z}## = 1.57A. I calculated ##\phi = -38.4^o## and got a power of ##6.15W##.
For part c, I'm stuck on finding the phase difference (##\Delta \phi##) because I'm not sure how to find another value of ##\phi## and there is none specified in the question. Any help would be appreciated.