1. For the circuit depicted below,
a) Write a minimal set of KCL equations to specify the complete solution.
These should be expressed in terms of the variables indicated on the figure.
b) Write a minimal set of KVL equations to specify the complete solution.
These should be expressed in terms of the indicated current variables.
c) Put the equations into matrix-vector form and solve for the four currents:
$i_1(t)$, $i_2(t)$, $i_3(t)$, and $i_4(t)$.
2Ω
2Ω
$i_3(t)$
$i_2(t)$
$i_1(t)$
+
$v_s(t)$
2Ω
$i_4(t)$
W
2Ω
$i_s(t)$
$i_1 (t) = -0.2i_s + 0.3v_s (t)$
$i_2 (t) = 0.2i_s (t) + 0.2v_s (t)$
$i_3 (t) = -0.4i_s (t) + 0.1v_s (t)$
$i_4 (t) = 0.6i_s (t) + 0.1v_s (t)$