When the current in a long, straight, air$-$filled solenoid is changing at the rate of $2000$ A$/$sA$/$s$,$ the voltage across the solenoid is $0\mathrm{.}600$ VV$.$ The solenoid has $1200$ turns and uniform cross$-$sectional area $15\mathrm{.}0$ mm$2$mm$2.$ Assume that the magnetic field is uniform inside the solenoid and zero outside, so the inductance formula L$=$$0$AN$2/$lL$=$$0$AN$2/$l for a solenoid with NN turns, uniform cross$-$sectional area AA$,$ and length ll$,$ applies.

Part A

What is the magnitude BB of the magnetic field in the interior of the solenoid when the current in the solenoid is $3\mathrm{.}00$ AA$?$

Express your answer with the approppriate units.