- #1
magnifik
- 360
- 0
for the following circuit, i am trying to find the y parameters
i have found y11, y12, and y22 to match the answer that my text provides, but i am having trouble with y21
the solution given is y11 = 1.5, y12 = -0.5, y21 = 4, y22 = -0.5
in trying to solve for y21, i get 4.5
this is what i attempted:
short the voltage source at port 2
I1 = (v1 - va)/2 - v1
= -0.5(v1/2 - 3I1 - v1) - v1
= -0.5(-0.5v1 - 3I1) - v1
= 0.25v1 + 1.5I1 - v1
-0.5I1 = -0.75v1
I2 = 3I1
I1 = (1/3)I2
-0.5((1/3)I2) = -0.75v1
y21 = I2/v1 = 18/4 = 4.5
i have found y11, y12, and y22 to match the answer that my text provides, but i am having trouble with y21
the solution given is y11 = 1.5, y12 = -0.5, y21 = 4, y22 = -0.5
in trying to solve for y21, i get 4.5
this is what i attempted:
short the voltage source at port 2
I1 = (v1 - va)/2 - v1
= -0.5(v1/2 - 3I1 - v1) - v1
= -0.5(-0.5v1 - 3I1) - v1
= 0.25v1 + 1.5I1 - v1
-0.5I1 = -0.75v1
I2 = 3I1
I1 = (1/3)I2
-0.5((1/3)I2) = -0.75v1
y21 = I2/v1 = 18/4 = 4.5