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Tham khảo tài liệu 'electromotive force and measurement in several systems part 12', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Resonance Analysis of Induced EMF on Coils 155 same waveform of excitation the system was inverted considering ring coil as primary input of square wave and planar coil as secondary output analyzed . A posteriori the excitation was changed by a sinusoidal waveform with the same amplitude realizing the extraction of the data in direct system and inverted system. Considering the effects of parasitic capacitances Cgi the parasitic capacitances in relation to a ground and Cd turn to turn parasitic capacitances i 1 2 self Li i 1 2 and mutual M inductances and resistances ri i 1 2 of coils the system can be analyzed as equivalent circuit shown in Fig. 2. Fig. 2. Equivalent circuit to analysis of the system. Inductances and mutual inductances of the coils Hurley and Duffy 1997 Su Liu and Hui 2009 are calculated using procedure presented in Babic and Akyel 2000 Babic et al. 2002 Babic and Akyel 2006 Babic and Akyel 2008 where some of obtained magnitudes of self inductances are shown in Table 1 as follows Turn number Self inductance H 10 4.33 x 10-7 20 1.85 x 10-6 30 4.07 x 10-6 50 1.10 x 10-5 200 1.67 x 10-4 500 9.48 x 10-4 1600 1.07 x 10-2 Table 1. Computed self inductances for planar coils. The experimental data obtained with this configuration a priori were sufficient to determine several effects not common in literature especially in relation to resonance described as the sum of system responses when the input is a square waveform as the high gain that contradicts theory of ideal transformers in both waveform excitations . 2.1.1 Data analysis for excitation with square wave on direct system When the primary of the transformer was excited with square wave the response of the system presented as a second order system presenting a sinusoidal response with exponential dumping Costa 2009d . In this case considering excitation of the planar coil as the primary of the transformer response at secondary is seen in the oscilloscope in time division of 100 ps div we observe that
