Final answer:
The exact magnitude of the current induced in the first coil cannot be determined with the given information, as additional details such as the changing magnetic field are required. Electromagnetic induction principles apply here, but without specifics on the changing flux or mutual inductance between the coils, the induced current cannot be calculated.
Step-by-step explanation:
The question seeks to determine the magnitude of the current induced in the first coil due to the movement of a second coil carrying a steady current towards it. The situation involves concepts of electromagnetic induction and forces between current-carrying conductors, characterized by the application of Faraday's Law and Ampere's Law. However, with the information provided, the exact magnitude cannot be determined without additional details such as the magnetic field generated by the second coil or the rate at which the magnetic field at the position of the first coil is changing.
Typically, when a coil with a current moves towards another coil, it can induce a current in the stationary coil due to the changing magnetic field that it experiences. This is due to Faraday's Law of Electromagnetic Induction, which states that a changing magnetic field can induce an electromotive force (emf) in a nearby conductor. The magnitude of the induced current in the first coil would be given by the induced emf divided by the total resistance of the circuit it's part of, including the coil's resistance and the external resistance in series with it. In this case, the induced emf would derive from the change in the magnetic flux through the first coil caused by the second coil's motion and its own current.
Without additional specific data or formulas related to the magnetic field produced by the second coil and the exact nature of the change in the magnetic field over time at the first coil's position, the question cannot be answered accurately. Further details on the coils' mutual inductance or the rate of change of the magnetic field as the second coil moves would be necessary to calculate the induced current.