Recent content by ghoti

Working with \tau is a much simpler way to work the Algebra. I never thought of carrying around the time-constants are pairs but it makes complete sense. thankyou! should save me a lot of paper if nothing else. I re-worked my solution from my initial mesh equations to your final result but I...

Thanks vela, I have changed my working however I am still tragically stuck. for the mesh, is = i1 initial conditions i1(0) = 1A Vc(0) = 1V Mesh Equations i_1 = (\frac{R_1+R_2}{R_1})i_2 + (\frac{1}{R_1C}) \int i_2 i_2 = (\frac{L}{R_1})\frac{di_1}{dt} + i_1 Sub (2) into (1) i_1 =...

Hi, I am sure I have mistaken my DE setup or my initial conditions assumption. Homework Statement http://ivila.net/E8.png R1 will be the middle Resistor R2 the top one. Homework Equations i1' + R1/L i1 = R1/L i2 i2(R1+R2)*1/(R1) + 1/(R1*C)*integral(i2)=i1 The Attempt at a...

I found the solution! Firstly. Z = R - jX (incorrectly stated in my first post) Y = G + jB G = R/(R^2 + X^2) B = X/(R^2 + X^2) G^2 + B^2 = 1/(R^2 + X^2) this is very close to B, infact B/X = G^2 + B^2 using this we can say. G^2 + B^2 = 1/X * B G^2 + (B^2 - B/X) = 0 Now...

Homework Statement In a series circuit V = V<0 @50hz with an R and C, show that the graph of the loci or the port impedance, Z, and port admittance, Y, as the resistance R is varied from 0 to inf ohms are as shown. http://ivila.net/prob.pnghttp://ivila.net/loci.png Homework Equations The...