Recently, the use of rhombic coils, parallelogram coils or elliptic coils has been proposed in eddy current sensor or eddy current testing. However, it is generally difficult to analyze the magnetic field produced by these coils. Therefore, there is hardly any report touching the self-inductance which is fundamental character-istics of the coil. In this letter, a single-layer coil has been noticed among the elliptic coils. And the exact calculation formula of the self-iductance has been shown using the same coefficient as Nagaoka's coefficient. In addition, the validity of the calculation formula has been confirmed by comparing measured values with calculated ones.
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