Consider the network shown below Assume that the nodes are n

Consider the network shown below. Assume that the nodes are numbered as shown, resistances are expressed in kilohms (equivalently conductances are expressed in millisiemens), currents are expressed in milliamps, and voltages in volts. If the \"input\" circuit is treated as a single loop circuit, and the \"output\" circuit is treated as a single node-pair circuit which matrix equation below is the correct one for the circuit? [2 1/10 10 1] (V_0 I_x) = (1 0) [2 10 1/10 1](V_0 I_x) = (1 1) [2 1/10 1/10 1] (I_x V_0) = (1 0) [2 1/10 10 1] (I_x V_0) = (1 0)

Solution

apply kvl to loop curent IX.

-1+2*IX+(VO/10)=0

2*IX+(VO/10)=1 ----------------------(1)

Apply nodal analysis at node VO.

10*IX+(VO/2)+(VO/2)=0

10*IX+VO=0 ---------------------(2)

FROM EQUATIONS (1) AND (2)

OPTION (D)

IS THE RIGHT ANSWER.