ipt:basics:resonancefrequency
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| Both sides previous revisionPrevious revisionNext revision | Previous revision | ||
| ipt:basics:resonancefrequency [2024/04/04 16:50] – 2a02:1812:40f:9800:b890:7399:f066:e603 | ipt:basics:resonancefrequency [2024/04/04 17:07] (current) – [Equivalent circuit] 2a02:1812:40f:9800:b890:7399:f066:e603 | ||
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| Line 11: | Line 11: | ||
| INSERT FIGURE HERE | INSERT FIGURE HERE | ||
| + | |||
| + | Other equivalent circuit representations can be found here. | ||
| ===== Description as a two-port network ===== | ===== Description as a two-port network ===== | ||
| Line 20: | Line 22: | ||
| \begin{align} | \begin{align} | ||
| Z = | Z = | ||
| + | \begin{bmatrix} | ||
| + | z_{11} | ||
| + | z_{21} | ||
| + | \end{bmatrix}= | ||
| \begin{bmatrix} | \begin{bmatrix} | ||
| R_1+j\omega L_1 & j \omega M \\ | R_1+j\omega L_1 & j \omega M \\ | ||
| - | j \omega M & R_1+j\omega | + | j \omega M & R_2+j\omega |
| \end{bmatrix} | \end{bmatrix} | ||
| \end{align} | \end{align} | ||
| Line 30: | Line 36: | ||
| ==== Admittance matrix ==== | ==== Admittance matrix ==== | ||
| + | \begin{align} | ||
| + | Y = \frac{1}{det(Z)} | ||
| + | \begin{bmatrix} | ||
| + | z_{22} | ||
| + | -z_{21} | ||
| + | \end{bmatrix}= | ||
| + | \frac{1}{R_1R_2+\omega^2(M^2-L_1L_2)+j\omega (R_1L_2+R_2L_1)} | ||
| + | \begin{bmatrix} | ||
| + | R_2+j\omega L_2 & -j \omega M \\ | ||
| + | -j \omega M & R_1+j\omega L_1 \\ | ||
| + | \end{bmatrix} | ||
| + | \end{align} | ||
| + | with $det(Z)$ the determinant of Z. | ||
ipt/basics/resonancefrequency.1712249442.txt.gz · Last modified: by 2a02:1812:40f:9800:b890:7399:f066:e603