Final answer:
The change in magnetic flux linking the circuit when the coil is moved to a region of negligible magnetic field is 0.025 Wb.
Step-by-step explanation:
To find the change in magnetic flux linking the circuit, we can use Faraday's law of electromagnetic induction which states that the induced emf in a circuit is equal to the rate of change of magnetic flux through the circuit.
The magnetic flux through the coil is given by the product of the magnetic field strength (B), the area of each turn of the coil (A), and the number of turns in the coil (N). So, the initial magnetic flux through the coil is (B * A * N).
When the coil is moved to a region of negligible magnetic field, the magnetic flux through the coil becomes zero. Therefore, the change in magnetic flux linking the circuit is equal to the initial magnetic flux. Using the given values, the change in magnetic flux is (0.25 T * 2 x 10^-4 m² * 50 turns), which is equal to 0.025 Wb.