As we have previously noted, every method of circuit analysis must satisfy KCL, KVL, and the element i-v relationships. When formulating mesh equations, it may appear that we have not used KCL. However, writing the element constraints in the form in Eq. (3-13) requires the KCL equations iB. Mesh-current analysis implicitly satisfies KCL A, 12 when the element constraints are expressed in terms of the mesh currents. In effect, the fundamental property of mesh currents ensures that the KCL constraints are satisfied.