Step 1: Understanding the Concept:
Induced charge is the integral of induced current over time. Current depends on induced emf, which follows Faraday's Law.
Step 2: Key Formula or Approach:
$q = \int i \, dt = \int \frac{e}{R} \, dt = \int \frac{d\Phi/dt}{R} \, dt = \frac{\Delta \Phi}{R}$.
Step 3: Detailed Explanation:
The induced current $i$ is proportional to the rate of change of flux. However, the total charge $q = \int i dt$ cancels out the 'time' term, leaving it dependent only on the net change in flux ($\Delta \Phi$) and the resistance of the loop.
Step 4: Final Answer:
Induced charge depends on the total change in magnetic flux.