Final answer:
The equivalent capacitance between two points in a circuit with a combination of series and parallel capacitors is calculated by first finding the series equivalent and then adding it to the parallel capacitance.
Step-by-step explanation:
Finding the equivalent capacitance between two points in a circuit involves identifying the arrangement of capacitors. If capacitors are connected in series, their equivalent capacitance, Cs, can be calculated using the formula 1/Cs = 1/C1 + 1/C2 + ... + 1/Cn. When capacitors are connected in parallel, their equivalent capacitance is simply the sum of their individual capacitances, which is C = C1 + C2 + ... + Cn.
Given the scenario where capacitors C1 and C2 are in series, and their combination is in parallel with C3, we first find the series combination's equivalent capacitance using the series formula. Then, we add this result to the capacitance of C3, as they are in parallel, using the parallel formula to find the total equivalent capacitance of the circuit.
The charges on capacitors C2 and C3 can be found when they are in parallel since they share the same potential difference. The charge on each capacitor can be calculated with the equation Q = CV, where C is the capacitance and V is the voltage across the capacitor.