Magnetic induction between coils in different media, such as water and air, can be analyzed using Faraday's law of induction, which states that the induced electromotive force (emf) is proportional to the rate of change of magnetic flux. The presence of different media affects the magnetic permeability, with water having a different permeability compared to air, influencing the induced emf. To calculate the induced emf, one must determine the change in magnetic flux and its rate of change for each medium. The magnetic permeability of water is approximately 1.256 x 10^-6 H/m, while air is close to that of a vacuum. Understanding these differences is crucial for accurate calculations of induced emf in varying environments.