I'm sorry, but there seems to be a confusion here. The Compensation Theorem is not a well-known theorem in the context of electrical network theory or circuit theory. It's possible that you might be referring to a different theorem or concept.
However, if you're interested in network theorems and their application to circuits with sinusoidal excitation, I can provide information about some of the commonly known theorems, such as:
Superposition Theorem: This theorem states that in a linear circuit with multiple independent sources, the response (current or voltage) across any element is the algebraic sum of the responses caused by each independent source acting alone, while all other independent sources are turned off.
Thevenin's Theorem: According to this theorem, any linear bilateral network with multiple sources and resistors can be replaced by a single voltage source in series with a single resistor, called the Thevenin equivalent circuit. This is particularly useful for analyzing complex circuits and simplifying calculations.
Norton's Theorem: Similar to Thevenin's theorem, Norton's theorem states that any linear bilateral network can be replaced by a current source in parallel with a resistor, called the Norton equivalent circuit. This theorem is an alternative to Thevenin's theorem and is often used in analysis.
Maximum Power Transfer Theorem: This theorem states that a load resistor connected to a network will receive maximum power from the network when the load resistance is equal to the Thevenin or Norton equivalent resistance of the network as seen from the terminals of the load.
Reciprocity Theorem: This theorem states that the ratio of voltage to current (impedance) is the same for an element A in network X due to the excitation produced by an element B in network Y, as it is when the elements are interchanged.
It's important to note that these theorems generally apply to linear circuits with sources and components that are sinusoidal or can be linearized for small variations around a certain operating point. If you have a specific question or topic in mind, feel free to ask for more information!