Question

When a circuit has a supermesh, you write two equations: the supermesh constraint equation and the supermesh KVL equation. You have completed this task. To complete the description of this circuit, two more equations are required, one of which is the KVL equation for the mesh whose current is iziz. Write this KVL equation.

Answer 1

Explanation:

Note: Refer the diagram attached

Apply KVL around $i_{z}$ loop

$\begin{aligned}&5 k \left(i_{z}-i_{y}\right)+2 v_{\Delta}=0\\&5000\left(i_{z}-i_{y}\right)+2 v_{\Delta}=0 \quad \ldots \ldots(1)\end{aligned}$

$From the circuit, \(v_{\Delta}\) can be expressed using ohm's law as,\\\(v_{\Delta}=(1 k ) i_{y}\)\(v_{\Delta}=1000 i_{y}\)$