Magnetic Field Calculation of Square Coils Having Rounded Corners

There are differently shaped coils for induction heating used in industry such as circular, and square coils. While producing square-like shaped coils, it is unavoidable to face production difficulties due to the sharp corners. At the end of the production, instead of square-like shape, edges are flat and corners are rounded shape coil which is called squircle coil is produced. This paper will discuss how these rounded corners effect the magnetic field at the center of the coil by deriving missed formulas in the literature, and prove the results by comparing with the results of generally known formulas.