Answer:
(a) 7.59 V
Explanation:
The current in the circuit is 0, so we can ignore the resistor in the circuit.
Capacitors in series have the same charge, so:
Q₁ = Q₂
C₁ V₁ = C₂ V₂
8.25 V₁ = 14.2 V₂
By Kirchoff's voltage law, the sum of the voltage drops equals the source voltage.
V₁ + V₂ = 12
We have two equations and two variables. Let's solve with substitution.
V₂ = 12 − V₁
8.25 V₁ = 14.2 (12 − V₁)
8.25 V₁ = 170.4 − 14.2 V₁
22.45 V₁ = 170.4
V₁ = 7.59
