Finding the voltage/vector phasor (Mistake in my wrong solution)

Discussion in 'Homework Help' started by libnitz, Feb 13, 2016.

  1. libnitz

    Thread Starter New Member

    Jan 29, 2016
    Hi, Phasors.PNG
    I have being asked to calculate the phase voltage across the capacitor 5pF vo(t)

    Here is my solution:

    2016-02-13 22.08.50.jpg

    I used my TI-89 to solve the system of equations:
    2016-02-13 22.09.14.jpg

    What I did:
    I tried using node analysis to find vo(t) by labeling V1 and V2. I combined the resistor and capacitor at the right end of the circuit to 1 single device with a combined impedance of 14.42 - 22.65i. I then worked out 2 equations:

    Node 2
    -0.0314i V1 +(0.02+0.0628i)V2 =2.5V1
    Node 1
    (-0.0314i - 2.5i) V1 + (0.02+0.0628i) V2 = 0

    My answer for V2 is 14.48 - 40.22i but I'm wrong :(
    Need help. any is appreciated.

    Edit: I mislabeled my Nodes in the pic I took of my solns; Node 1 is supposed to be Node 2 and vice versa. The derivation of my nodes still looks correct to me.
    Last edited: Feb 13, 2016
  2. libnitz

    Thread Starter New Member

    Jan 29, 2016
    ok i figured it out :)
    2016-02-14 00.11.44.jpg