Diagram of the analytical solution and computer modeling of a Helmholtz coil pair with an uHDC disk in between. The magnetic field, B1, is generated by a current, i=1 Am in each loop, with radius 50 mm. a: An uHDC material disk with ɛr =1000 and radius R = 20 mm (small disk) and 40 mm (large disk), respectively, is placed in the center of the coil. For the integration of Equation [2], the line integral along the circular path, L, with radius, r, and the surface integral of enclosed area, A, are performed in the uHDC disk. b: For integration of Equation [1], the line integral along the rectangular path l and enclosed surface integral over S are performed over the uHDC disk cross section. Using the same configuration, computer modeling was also performed.