Final answer:
The question asks for the coil flux linkage of an electromagnet and involves principles from electromagnetic theory in physics. Without additional information about the magnetic field strength or the core's cross-sectional area, a numerical result for the coil flux linkage cannot be provided.
Step-by-step explanation:
The question relates to the concept of flux linkage in an electromagnet with a ferromagnetic core and is primarily a physics problem involving electromagnetic theory. Since the relative permeability is considered infinite, we assume the core does not saturate and it effectively has no reluctance; therefore, the only reluctance in the magnetic circuit is due to the air gap.
To calculate the coil flux linkage (Ψ), we use the formula: Ψ = N × Φ, where N is the number of turns and Φ is the magnetic flux. The magnetic flux (Φ) can be calculated using Ampere's Law and the magnetic circuit concepts, but since no specific magnetic field strength or core dimensions other than depth are given, we cannot provide a numerical answer for the flux linkage without additional information.
If we had the magnetic field, we could calculate Φ = B × A, where B is the magnetic field strength and A is the cross-sectional area of the core (depth × width, with the width being unknown in this question). For a given coil with 500 turns (N = 500) and assuming a uniform magnetic field were provided, we could then calculate the coil flux linkage.