A$13-$cmcm$-$diameter,$1\mathrm{.}0-$mm$-$long$$solenoid is wound with$2000$ turns$$of superconducting wire. When the magnet is turned on$,$ the current increases from $0$ to$$ImaxImax$$in$2\mathrm{.}5$ss$.$At$$tt$=1\mathrm{.}0$ss$,$the induced electric field midway between the axis and the windings is$7\mathrm{.}5103$V$/$m$7\mathrm{.}5103$V$/$m$.$

What is the solenoid's steady magnetic field strength?