During lab, you’re given a circular wire loop of resistance R and radius a with its plane perpendicular to a uniform magnetic field. You’re supposed to increase the field strength from B₁ to B₂ and measure the total charge that moves around the loop. Your lab partner claims that the details of how you vary the field will make a difference in the total charge; your hunch is that it won’t. By integrating the loop current over time, determine who’s right.