Final answer:
To determine the voltage across each capacitor, consider the connection (series or parallel) and use the relationship that the total voltage is the sum of individual voltages. Capacitors in parallel share the same voltage and the formula V=Q/C is used, where Q is charge and C is capacitance.
Step-by-step explanation:
To measure the voltage across each capacitor in a circuit, we need to consider how they are connected and apply the concept that the total voltage is the sum of the individual voltages across each capacitor.
Given that capacitors 2 and 3 are connected in parallel, they will have the same voltage across them. The total voltage applied to the capacitors in series (V) would be equal to the sum of the voltages across each capacitor (V = V₁ + V₂ + V₃).
The individual voltages can be calculated using the formula V₁ = Q/C₁, V₂ = Q/C₂, and V₃ = Q/C₃, where Q represents the charge on the capacitors, and C₁, C₂, and C₃ are their respective capacitances.
The voltage across each capacitor can be calculated using the given information. Capacitors 2 and 3 are connected in parallel, so they have the same potential difference. This potential difference, V₂V₃, is 8.0 V. The charges on these two capacitors are Q₂ = 16.0 μC and Q₃ = 32.0 μC based on their capacitance and voltage.