An Ideal Solenoid Is Wound with 470 Turns on a Wooden

An ideal solenoid is wound with 470 turns on a wooden form that is 4.0 cm in diameter and 50 cm long. The windings carry a current in the sense shown in the figure. The current produces a magnetic field of magnitude $4.1 \mathrm { mT } \text {, }$ at the center of the solenoid. What is the current I in the solenoid windings? (?₀ = 4? × 10^-7 T ? m/A)

A) 3.5 A
B) 3.0 A
C) 2.6 A
D) 4.3 A
E) 3.9 A