R1=10; R2=5; C=166.6667e-6, L1=16.66667e-3; L2=50e-3; omega=300;
Ug=100;
Ig=j;
ZL1=j*omega*L1;
ZL2=j*omega*L2;
ZC=1/(j*omega*C);

%% 1.	Metoda Kirchoffovih zakonov:
A=[1,0,0,1,0;-1,1,1,0,0;0,-1,0,0,1;10,0,15j,-5j,0;0,5,-15j,0,-20j] 

b=[-j;0;j;100;0]

I=inv(A)*b
%break

% resevanje z determinanto:
    D1=A, D1(:,1)=b, I1=det(D1)/det(A)
% resevanje z Gaussovo eliminacijo
    I=A\b
    

    %% 1b: V primeru sklopljenih tuljav
    A=[1,0,0,1,0;-1,1,1,0,0;0,-1,0,0,1;10,0,8.07j,1.93j,0;0,5,-15j,-6.93j,-20j] 

    b=[-j;0;j;100;0]

I=inv(A)*b

    
    
%% 2.	Metoda zančnih tokov:
 A=[10+20j,-15j;-15j,5-5j]
 b=[100+10j;5j]
 J=inv(A)*b
 
 I1=J(1)-Ig
 I2=J(2)-Ig
 I3=J(1)-J(2)
 I4=-J(1)
 I5=J(2)
 %break
 
 %% 3.	Metoda spojiščnih potencialov
 A=[1/5j+1/10,-1/10,0; -1/10,1/10+1/5+1/15j,-1/5;0,-1/5,1/5-1/20j]
 b=[-j+100/5j;0;j]
 V=inv(A)*b
 I1=(V(1)-V(2))/R1
 I2=(V(2)-V(3))/R2
 I3=V(2)/ZL2
 I4=(V(1)-Ug)/ZL1
 I5=V(3)/ZC
 
 
%%   4. Theveninovo nadomestno vezje. 

ZT=1/(1/(10+5j)+1/(15j))-20j
V1=(-j+100/5j)/(1/5j+1/(10+15j))
UTh=V1*15j/(10+15j)-j*(-20j)
IR2=UTh/(ZT+5)
 %break
 
%% Tellegenov stavek
PV=100*(-I(4))+j*(V(3)-V(1)) 
PB=I(4)^2*5j+I(3)^2*15j+I(5)^2*(-20j)+I(2)^2*5+I(1)^2*10