Hi,
I am having difficulty understanding the decisions of variable selection in a second order circuit. (Time Domain)
This is the problem I am working with.
As this will be solved by hand I need to ensure an efficient solution.
I am looking for a nodal equation with the cap and a mesh equation for the inductor.
If the horizontal resistor is R1 and the vertical resistor R2
My first equation is the nodal for the cap. node Vc.
Current through the cap + current through R1 and
the current through R1 is the current through R2 + current through the inductor
So
\( C_1\frac{dv_c}{dt} + i_l + L_1\frac{di_l}{dt}\frac{1}{R_2} = 0 \)
Now I am stuck with producing a satisfactory mesh equation that still allows me to solve for vc.
The resultant characteristic equation will be m^2 + 2m + 2 = 0.
Any help would be MUCH appreciated.
Thanks,
Alex
I am having difficulty understanding the decisions of variable selection in a second order circuit. (Time Domain)
This is the problem I am working with.
As this will be solved by hand I need to ensure an efficient solution.
I am looking for a nodal equation with the cap and a mesh equation for the inductor.
If the horizontal resistor is R1 and the vertical resistor R2
My first equation is the nodal for the cap. node Vc.
Current through the cap + current through R1 and
the current through R1 is the current through R2 + current through the inductor
So
\( C_1\frac{dv_c}{dt} + i_l + L_1\frac{di_l}{dt}\frac{1}{R_2} = 0 \)
Now I am stuck with producing a satisfactory mesh equation that still allows me to solve for vc.
The resultant characteristic equation will be m^2 + 2m + 2 = 0.
Any help would be MUCH appreciated.
Thanks,
Alex