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AN3394 Datasheet(PDF) 25 Page - STMicroelectronics |
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AN3394 Datasheet(HTML) 25 Page - STMicroelectronics |
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25 / 29 page ![]() AN3394 Demonstration of C11 and C22 calculation Doc ID 018754 Rev 5 25/29 Equation (A.II.1) Consider that: Equation (A.II.2) Equation (A.II.2) in equation (A.II.1) leads to: Identify the real part and the imaginary parts: Equation (A.II.3) Equation (A.II.4) From equation (A.II.3): Equation (A.II.5) By equation (A.II.4): Equation (A.II.6) Z load Z loadP = R A j ω × L A × + R PA L PA j ×ω × × R PA L PA j ×ω × + --------------------------------------------- = R A j ω × L A × + R PA L PA 2 ω 2 × × R PA 2 L PA ω × () 2 + ------------------------------------------------- j R PA 2 L PA ω × × R PA 2 L PA ω × () 2 + ------------------------------------------------- × + = Q A ℑ Z load () ℜ Z load () -------------------------- ω L A × R A ----------------- ℜ Z loadP () ℑ Z loadP () ----------------------------- R PA L PA ω × -------------------- == = = R A j ω × L A × + R PA 1Q A 2 + -------------------- j Q A R PA × 1Q A 2 + ------------------------- × + = R A R PA 1Q A 2 + -------------------- = ω L A × Q A R PA × 1Q A 2 + ------------------------- = R PA R A 1Q A 2 + () × = L PA L A 1Q A 2 + () Q A 2 ------------------------- × = |
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