Dualidad (circuitos eléctricos)

• Resistencia y conductor (Ley de Ohm)$${\displaystyle v=iR\iff i=vG\,}$$
• Condensador e inductor – forma diferencial $${\displaystyle i_{C}=C{\frac {d}{dt}}v_{C}\iff v_{L}=L{\frac {d}{dt}}i_{L}}$$
• Condensador e inductor – forma integral $${\displaystyle v_{C}(t)=V_{0}+{1 \over C}\int _{0}^{t}i_{C}(\tau )\,d\tau \iff i_{L}(t)=I_{0}+{1 \over L}\int _{0}^{t}v_{L}(\tau )\,d\tau }$$

$${\displaystyle v_{R_{1}}=v{\frac {R_{1}}{R_{1}+R_{2}}}\iff i_{G_{1}}=i{\frac {G_{1}}{G_{1}+G_{2}}}}$$

• Resistencia y conductor$${\displaystyle Z_{R}=R\iff Y_{G}=G}$$$${\displaystyle Z_{G}={1 \over G}\iff Y_{R}={1 \over R}}$$
• Condensador e inductor$${\displaystyle Z_{C}={1 \over Cs}\iff Y_{L}={1 \over Ls}}$$$${\displaystyle Z_{L}=Ls\iff Y_{c}=Cs}$$