An Ideal Solenoid $20 \mathrm {~cm}$ Long Is Wound with 5000 Turns of Very Thin Wire

Multiple Choice

An ideal solenoid $20 \mathrm {~cm}$ long is wound with 5000 turns of very thin wire. What strength magnetic field is produced at the center of the solenoid when a current of $10 \mathrm {~A}$ flows through it? $\left( \mu _ { 0 } = 4 \pi \times \right.$ $\left. 10 ^ { - 7 } \mathrm {~T} \cdot \mathrm { m } / \mathrm { A } \right)$

A) $0.31 \mathrm {~T}$
B) $3.2 \mathrm {~T}$
C) $0.0063 \mathrm {~T}$
D) $0.20 \mathrm {~T}$
E) $4.8 \mathrm {~T}$