Final answer:
The impedance of a capacitor in the s-domain is given by Z_C(s) = 1 / (sC), where s is the complex frequency and C is the capacitance.
Step-by-step explanation:
The formula for the impedance of a capacitor in the s-domain is represented by the following equation:
ZC(s) = 1 / (sC)
where ZC(s) is the impedance of the capacitor in the s-domain, s is the complex frequency, and C is the capacitance of the capacitor. The term s represents the Laplace transform variable s = σ + jω, where σ is the damping factor and ω is the angular frequency. In this context, impedance takes into account not just resistive effects but also capacitive reactance, which is frequency-dependent.
The formula given simplifies to XC = 1 / (2πfC) for sinusoidal steady-state analysis, where XC is the capacitive reactance, f is the frequency in hertz (Hz), and C is capacitance in farads (F).