Final answer:
The magnitude of the magnetic field at the center of the solenoid is approximately 5.03 x 10^-4 T.
Step-by-step explanation:
The magnitude of the magnetic field at the center of a solenoid can be calculated using the formula:
B = μ₀ * (n * I)
Where B is the magnetic field, μ₀ is the permeability of free space (4π × 10-7 T·m/A), n is the number of turns per unit length and I is the current passing through the solenoid.
In this case, the solenoid has 200 turns and a length of 25 cm, which is equivalent to 0.25 m. So the number of turns per unit length is:
n = 200 / 0.25 = 800 turns/m
Substituting the values into the formula:
B = (4π × 10-7 T·m/A) * (800 turns/m * 2 A)
The magnetic field at the center of the solenoid is approximately 5.03 x 10-4 T.