Final answer:
The question is about calculating intersymbol interference in a digital communication system with given parasitic inductance and capacitance values. To find the resonant frequency, the formula ω = 1 / √(LC) would be used, but more information would be required for a complete analysis of ISI due to package parasitics.
Step-by-step explanation:
The question is concerned with the calculations related to intersymbol interference (ISI) in a digital communication system caused by oscillations due to package parasitics in the form of an inductor and a capacitor. Given the values of a 5-nH series inductor and a 2-pF capacitor, we can determine the natural resonant frequency of the LC circuit, which will help to evaluate the impact on data transmission at 500 Mb/s.
The resonant frequency (ω) of an LC circuit is given by ω = 1 / √(LC), where L is the inductance and C is the capacitance. For the system provided:
L = 5 nH (5 × 10-9 H)
C = 2 pF (2 × 10-12 F)
Resonant frequency (ω) = 1 / √(5 × 10-9 × 2 × 10-12) Hz
However, to calculate the exact value of the maximum intersymbol interference due to oscillations, one would need additional information on the circuit's behavior over time after the step is applied. This would likely involve a more complex analysis using Fourier series or Laplace transforms to understand how the parasitics affect the data signal and how long the oscillations persist relative to the bit period (which is 1 / data rate).