4.3 Electromagnetic Coupling in a Package SLIDE 6 Picture Thanks to Coventor Note 4 Example 3: Electromagnetic coupling in a package In the 40 lead electronic package pictured in the slide, it is important to de- termine the extent to which signals on different package leads interact. To determine the magnetic interaction between signal currents flowing on different wires, one must solve H(r)=J(a) V·J(x)=0 where h is the magnetic field and J is the signal current density. By specifying he current, and then computing the magnetic field at the surfaces of the leads one can determine the magnetic interaction. Again, this is a problem in which the known quantities and the quantities of interest are on the surface 4.4 Capacitance of Microprocessor Signal Lines LIDE i Note 5 Example 4: Capacitance of microprocessor signal lines This last example in the above slide is a picture of the wiring on a microprocessor integrated circuit. A typical microprocessor has millions of wires, so we are only looking at a small piece of a processor. The critical problem in this example4.3 Electromagnetic Coupling in a Package Slide 6 Picture Thanks to Coventor. Note 4 Example 3: Electromagnetic coupling in a package In the 40 lead electronic package pictured in the slide, it is important to de￾termine the extent to which signals on different package leads interact. To determine the magnetic interaction between signal currents flowing on different wires, one must solve ∇2H(x) = J(x) (2) ∇ · J(x)=0 where H is the magnetic field and J is the signal current density. By specifying the current, and then computing the magnetic field at the surfaces of the leads, one can determine the magnetic interaction. Again, this is a problem in which the known quantities and the quantities of interest are on the surface. 4.4 Capacitance of Microprocessor Signal Lines Slide 7 Note 5 Example 4: Capacitance of microprocessor signal lines This last example in the above slide is a picture of the wiring on a microprocessor integrated circuit. A typical microprocessor has millions of wires, so we are only looking at a small piece of a processor. The critical problem in this example 4