To design a series-tuned LC circuit with a resonant frequency of 2 kHz using a 2 mH inductor, the required capacitor size can be calculated using the formula f = 1 / (2π√(LC)). The discussion emphasizes guiding the original poster (OP) to research and solve the problem independently while providing supportive assistance. The importance of encouraging learning through exploration rather than simply providing answers is highlighted. This approach fosters a better understanding of the concepts involved in designing LC circuits. Ultimately, the OP is encouraged to apply the resonant frequency formula to find the appropriate capacitor value.