How do chip design engineers make sure that there is no interference between different circuit modules due to electromagnetic fields, given that every circuit component is very close to each other?
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Simulation and testing. There are tools to simulate the fields and their effects. Then after you got your results you consider your options which are: Shielding, distance, limiting currents, alternative components, and variations on design. After this you compare it to your tolerance for errors and capacity to correct said errors (in the signals).
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