What law is Tellegen's theorem based on?
2 Answers
Tellegen's theorem is based on the principle of conservation of energy. It states that for any network of interconnected elements, the sum of the power in the network at any instant is equal to zero. This theorem applies to any linear or nonlinear circuit, regardless of whether it is in steady-state or transient conditions. The key aspect is that it reflects the relationship between currents and voltages in the network, emphasizing that energy supplied is equal to energy consumed.
Tellegen's Theorem is based on Kirchhoff's laws, specifically Kirchhoff's Voltage Law (KVL). It states that the sum of the voltage drops in any closed loop of a circuit is zero, which forms the basis for the theorem. Tellegen's Theorem extends this by stating that for any linear circuit, the sum of the power across all elements is zero when considering any set of node voltages and branch currents.