An Ideal Solenoid That Is $34.0 \mathrm {~cm}$ Long Is Carrying a Current Of

An ideal solenoid that is $34.0 \mathrm {~cm}$ long is carrying a current of $2.00 \mathrm {~A}$ . If the magnitude of the magnetic field generated at the center of the solenoid is $9.00 \mathrm { mT }$ , how many turns of wire does this solenoid contain? $\left( \mu _ { 0 } = 4 \pi \times 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } \right)$

A) 3180
B) 1220
C) 860
D) 2320
E) 1590