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LDC0851EVM: Design of the sensor coil

Part Number: LDC0851EVM
Other Parts Discussed in Thread: LDC0851

I would like to purchase the LDC0851 evaluation module and build a homemade sensor coil.
Please let me know the design specifications of the inductance of the sensor coil.

Incidentally, I would like the cross-sectional area of the sensor coil to be about 5 cm.
I am thinking of using the following formula. If I am wrong, please let me know
If I am wrong, please let me know the appropriate calculation method.

 L=K・μ・S・N2 (squared)/I

L: Inductance (H)
K: Nagaoka coefficient
μ: Permeability of the core (H/m)
N: Number of coil turns
S: Cross-sectional area of coil (m2) ・・・ 5 cm
I: Length of the coil (m)

Thank you for your kind attention to the above.

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