Final answer:
In a series circuit of capacitors, the charge on each capacitor is the same, so the charges of three capacitors connected in series when fully charged are equal (q1 = q2 = q3), corresponding to option D.
Step-by-step explanation:
When three capacitors are connected in series and fully charged, the charge on each capacitor is the same regardless of their individual capacitances. This is because in a series circuit, the charge that leaves the positive plate of one capacitor must be equal to the charge that arrives at the next capacitor's negative plate, and so on. Hence, the charge is conserved across all capacitors in series. Therefore, the correct relation among the charges (q1, q2, q3) is that they are equal: q1 = q2 = q3.
The correct option is D: q1 = q2 = q3. While the voltage across each capacitor will differ if the capacitors have different capacitances, the actual quantity of charge on each capacitor must remain consistent in a series configuration.