§4-4 Duality(对偶性) Two circuits are dual if the mesh equations that characterize one of them have the same mathematical form as nodal equations that characterize the other. F 2c0S6t+ 2cos6tA/ 4H 5 3S Ref. mesh -equations node-equations 31+41-42=2cos6t 3v1+4 4-2=2cos6t dt d t d t dh 4-1+4-2+ d+5i2=0 4-1+42+ t+5v2=0 dt dt 8 dt 8 Dual elements: R-G, L-C, vs-is, v-i, series-parallel, mesh -node
Two circuits are dual if the mesh equations that characterize one of them have the same mathematical form as nodal equations that characterize the other. §4-4 Duality(对偶性) Dual elements: R-G, L-C, vs -i s , v-i,series-parallel, mesh -node... − + + + = + − = − t v dt v dt dv dt dv t dt dv dt dv v node equations 0 2 2 1 2 1 2 1 5 0 8 1 4 4 3 4 4 2cos6 − + + + = + − = − t i dt i dt di dt di t dt di dt di i mesh equations 0 2 2 1 2 1 2 1 5 0 8 1 4 4 3 4 4 2cos6