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Power Integrity Analysis and Management for Integrated Circuits by Donald Bennett, Raj Nair

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Appendix A. ECD Continuum Model Derivation

A.1 Definition of Effective Current Density (ECD)

Effective current density for a conductor is defined as the ratio of the total current flowing in a conductor normal to a cross-sectional area divided by an arbitrary area enclosing the conductor.

Figure A-1 shows a cross-section through a region of space containing insulators and conductors. The current in the conductor is given by:

(A-1)

image

Figure A-1 Cross-section through a region of space containing insulators and conductors.

image

where Jav is the average ...

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