which change will cause an increase in the electric current produced through electromagnetic…

Brief Explanations:

According to Faraday's law of electromagnetic - induction, the induced electromotive force (emf) $\epsilon=-N\frac{\Delta\varPhi}{\Delta t}$, where $N$ is the number of wire - loops, and $\varPhi$ is the magnetic flux. More wire - loops ($N$) in the solenoid increase the induced emf, and since $I = \frac{\epsilon}{R}$ (Ohm's law, where $I$ is current and $R$ is resistance), an increase in emf leads to an increase in current. Using the opposite pole of the magnet just changes the direction of the induced current. Using a weaker magnet decreases the magnetic flux change, reducing the induced emf and current. Moving the solenoid slower decreases the rate of change of magnetic flux, reducing the induced emf and current.

Answer:

using more wire loops in the solenoid