Mesh-analyse voor AC-circuits

In radio communication, an impedance-matching circuit aligns the radio transmitter and receiver impedance.

Consider a basic impedance-matching circuit composed of a resistor, followed by a capacitor and an inductor arranged in parallel.

If the input and output signals are known, the current flowing through the capacitor can be calculated.

The angular frequency, extracted from the time-domain expression for input voltage, is utilized to determine the impedance of the inductor and capacitor.

The transformed frequency domain circuit represents the impedances and the input and output signals in polar form.

For analysis, mesh currents are assigned, and Kirchhoff's voltage law is applied to each mesh, resulting in a set of linear simultaneous equations.

These equations can be represented in matrix form, and Cramer's rule can then be employed to solve for the mesh currents.

The current in the shared branch is the difference between the mesh currents.

By substituting the calculated mesh currents, the current across the capacitor is obtained in the polar form and then transformed into the time domain.