Final answer:
The question pertains to the electric field in regions around concentric spherical conducting shells with different charges. Electric fields are calculated using Gauss's Law and principles of electrostatics, with zero field inside a conductor and a radial field in non-conducting regions based on the charge enclosed by a Gaussian surface.
Step-by-step explanation:
The question deals with the concept of electric fields in the context of concentric spherical conductors, which is a topic within the field of physics, particularly electromagnetism. Specifically, the problem involves calculating the electric field at various regions around concentric conducting spherical shells that have different charges. Using Gauss's Law, it can be determined that the electric field inside a conductor is zero, and the electric field outside is related to the charge enclosed by the Gaussian surface over the area of the sphere at radius r.
Gauss's law states that the electric flux through a closed surface is equal to the charge enclosed divided by the permittivity of free space. For the region inside the inner shell (r < a), the electric field is zero since there is no charge enclosed. In the region between the inner and outer shells (a < r < c), the electric field depends on the charge on the inner shell. Then, for r > d, the electric field accounts for the total charge on both shells.
When calculating electric fields and potential differences, it is assumed that the potential at infinity is zero, and the electric field inside a conductor in electrostatic equilibrium is zero. These principles are derived from the properties of conductors and the nature of electrostatic fields