When the current in a solenoid is changing at a rate of $0\mathrm{.}0260$ A$/$s$,$ the magnitude of the

induced emf is $12\mathrm{.}6$ mV$.$ When the current equals $1\mathrm{.}40$ A$,$ the average flux through each

turn of the solenoid is $0\mathrm{.}00285$ Wb$.$ How many turns does the solenoid have?