A Cylindrical Insulated Wire of Diameter 5

A cylindrical insulated wire of diameter 5.0 mm is tightly wound 200 times around a cylindrical core to form a solenoid with adjacent coils touching each other. When a 0.10 A current is sent through the wire, what is the magnitude of the magnetic field on the axis of the solenoid near its center? (μ₀ = 4π × 10^-7 T ∙ m/A)

A) 6.6 × 10^-5 T
B) 2.5 × 10^-5 T
C) 1.3 × 10^-5 T
D) 3.6 × 10^-5 T
E) 9.8 × 10^-5 T