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Mathematical statistical analysis of inductive loop coil-sensor is carried out for its magnetic field effects operating on extremely low frequency (<30Hz). A system using resister, inductor, and capacitor effects finds resonance frequency for this loop sensor and its sensitivity as ferromagnetic effect. The design methods for these coils with air and ferromagnetic cores are technically compared and summarized, which are also known and used as search coils or pickup coils or magnetic loop coil sensors. The amplitude and bandwidth of the frequency components are compared to the standardized normal spectrum. This paper also presents the applications of coil sensor as magnetic coil.

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