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EM4095 Datasheet(PDF) 10 Page - EM Microelectronic - MARIN SA |
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EM4095 Datasheet(HTML) 10 Page - EM Microelectronic - MARIN SA |
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10 / 10 page ![]() EM4095 Copyright 2002, EM Microelectronic-Marin SA 10 www.emmicroelectronic.com Appendix Equations Antenna resonant frequency f0: f LC A 0 0 1 2 = π (1) Where C0 is resonant capacitor composed of CRES, CDV1 and CDV2: CC CC CC RES DV DV DV DV 0 12 12 =+ ∗ + (2) Usually antenna coil is specified by its inductance (LA) and Q factor (QA). Serial resistance of antenna is defined by following equation: R fL Q ANT A A = 2 0 π (3) The equations which follow are valid for bridge configuration as defined on Figures 1, 2 and 3. For figures 1 and 2 RSER has to be considered 0. The AC current amplitude at resonant frequency is defined as follows: I VV RR R ANT dd ss ANT SER AD = − ++ 4 2 π (4) RMS antenna current (important for power dissipation calculation): I I RMS ANT = 2 (5) Peak to peak voltage on antenna is defined by following equation: 0 0C f I V ANT ANTpp π = (6) To ensure correct operation of the AM demodulation chain, the AC peak to peak voltage on DEMOD_IN pin (VDMOD_INpp) has to be inside common mode range. Once peak to peak voltage on antenna is known the capacitor divider division factor can be calculated: 2 1 1 _ DV DV DV ANTpp INpp DMOD C C C V V + = (7) Power dissipation is composed of power dissipated on ANT drivers and internal power consumption: () PI R I V V RMS AD DDon DD SS =⋅ ⋅ + − 2 2 (7) Temperature increase of die due to power dissipation is: Th R P T ⋅ = ∆ (8) Where RTh is Package thermal resistor. © EM Microelectronic-Marin SA, 07/02, Rev. Ê/490 EM Microelectronic-Marin SA cannot assume responsibility for use of any circuitry described other than circuitry entirely embodied in an EM Microelectronic-Marin SA product. EM Microelectronic-Marin SA reserves the right to change the circuitry and specifications without notice at any time. You are strongly urged to ensure that the information given has not been superseded by a more up-to-date version. |
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