Electromagnetic bandgap (EBG) structures integrated into the parallel plane pairs are highly effective in mitigating the propagation of Electromagnetic noise. The intentional increase of the inductance in the EBG patterned plane pairs to create a bandgap affects the charge delivery to the switching devices from the nearby bypass capacitors. This paper analyses the charge delivery in Power/Ground planes patterned with EBG structure. To benchmark the results, a parallel plate waveguide (PPW) of similar dimension and bypass capacitor placement was simulated. It was found that the antiresonant peaks in the self impedance profile were shifted to lower frequencies in planes with EBG structures causing high transient noise.