In a series circuit with a capacitor and inductor connected to an alternating supply, the reactances do not simply add; instead, they are out of phase and effectively subtract from one another. The formula for total impedance in such a circuit is Z = iωL - i/ωC, indicating that capacitive reactance (X_C) and inductive reactance (X_L) interact oppositely. A participant seeks assistance in determining the appropriate capacitor size for a specific generator model, providing detailed specifications. There is confusion regarding the formulas and calculations involved, especially after a long absence from studying these concepts. Overall, understanding the relationship between reactance and impedance is crucial for troubleshooting and effective circuit design.