Search in book...
Toggle Font Controls
Create new playlist

Name your new playlist

Playlist description (optional)
Sign In

Email address

Password

Forgot Password?

or

Continue with Facebook

Continue with Google
Sign Up

Full Name

Email address

Confirm Email Address

Password

or

Continue with Facebook

Continue with Google

Appendix A

Table Of Units

A.1 Collection of Variables and Constants for Different Applications

We provide two tables, depending on the application. Fundamentally, we would like to use units that keep each element value close to 1 (unity). The purpose of this is to keep the element values in the matrices as close as possible. It is intuitively obvious that an element in a matrix of $c0A-math-001$ is ignorable small compared to 1. Using the appropriate normalized units is a good way to keep the elements in the same orders of magnitude. Here, we give Tables A.1 and A.2, one for low-frequency power electronics and one for microelectronics and high- frequency circuits.

Table A.1 Important variable and constants in SI units.

Variable	Value	Units
Distance $c0A-math-002$ , length $c0A-math-003$	1	$c0A-math-004$
Voltage $c0A-math-005$	1	$c0A-math-006$
Current $c0A-math-007$	1	$c0A-math-008$
Volume current density $c0A-math-009$	1	$c0A-math-010$
Surface current density $c0A-math-011$	1	$c0A-math-012$
Magnetic current $c0A-math-013$	1	$c0A-math-014$
Magnetic current density $c0A-math-015$	1	$c0A-math-016$
Surface current density $c0A-math-017$	1	$c0A-math-018$
Power $c0A-math-019$	1	$c0A-math-020$
Frequency $c0A-math-021$	1	$c0A-math-022$
Time $c0A-math-023$	1	$c0A-math-024$
Resistance $c0A-math-025$	1	$c0A-math-026$
Capacitance $c0A-math-027$	1	$c0A-math-028$
Inductance $c0A-math-029$	1	$c0A-math-030$
Charge $c0A-math-031$	1	$c0A-math-032$
Magnetic field $c0A-math-033$	1	$c0A-math-034$
Magnetic flux density $c0A-math-035$	1	$c0A-math-036$
Magnetic flux $c0A-math-037$	1	$c0A-math-038$
Electric scalar potential $c0A-math-039$	1	$c0A-math-040$
Magnetic scalar potential $c0A-math-041$	1	$c0A-math-042$
Magnetic vector potential $c0A-math-043$	1	$c0A-math-044$
Electric vector potential $c0A-math-045$	1	$c0A-math-046$
Vacuum permeability $c0A-math-047$	$c0A-math-048$	$c0A-math-049$
Vacuum permittivity $c0A-math-050$	$c0A-math-051$	$c0A-math-052$
Speed of light in vacuum	$c0A-math-053$	m/s
Conductivity of copper $c0A-math-054$	$c0A-math-055$	$c0A-math-056$
Resistivity of copper $c0A-math-057$	$c0A-math-058$	$c0A-math-059$
Skin depth for copper $c0A-math-060$	$c0A-math-061$	$c0A-math-062$
Conductivity of aluminium $c0A-math-063$	$c0A-math-064$	$c0A-math-065$
Resistivity of aluminium $c0A-math-066$	$c0A-math-067$	$c0A-math-068$
Skin depth for aluminium $c0A-math-069$	$c0A-math-070$	$c0A-math-071$
Conductivity of brass $c0A-math-072$	$c0A-math-073$	$c0A-math-074$
Resistivity of brass $c0A-math-075$	$c0A-math-076$	$c0A-math-077$
Skin depth for brass $c0A-math-078$	$c0A-math-079$	$c0A-math-080$
Conductivity of lead-free solder $c0A-math-081$	$c0A-math-082$	$c0A-math-083$
Resistivity for lead-free solder $c0A-math-084$	$c0A-math-085$	$c0A-math-086$
Skin depth for lead free solder $c0A-math-087$	$c0A-math-088$	$c0A-math-089$

Table A.2 Important variable and constants in normalized microelectronics units.

Variable	Value	Units
Distance $c0A-math-090$ , length $c0A-math-091$	$c0A-math-092$	$c0A-math-093$
Voltage $c0A-math-094$	1	$c0A-math-095$
Current $c0A-math-096$	$c0A-math-097$	$c0A-math-098$
Power $c0A-math-099$	$c0A-math-100$	$c0A-math-101$
Frequency $c0A-math-102$	$c0A-math-103$	$c0A-math-104$
Time $c0A-math-105$	$c0A-math-106$	$c0A-math-107$
Resistance $c0A-math-108$	$c0A-math-109$	$c0A-math-110$
Capacitance $c0A-math-111$	$c0A-math-112$	$c0A-math-113$
Inductance $c0A-math-114$	$c0A-math-115$	$c0A-math-116$
Charge $c0A-math-117$	$c0A-math-118$	$c0A-math-119$
Magnetic field $c0A-math-120$	1	$c0A-math-121$
Magnetic flux density $c0A-math-122$	$c0A-math-123$	$c0A-math-124$
Magnetic flux $c0A-math-125$	$c0A-math-126$	$c0A-math-127$
Vacuum permeability $c0A-math-128$	$c0A-math-129$	$c0A-math-130$
Vacuum permittivity $c0A-math-131$	$c0A-math-132$	$c0A-math-133$
Speed of light in vacuum	299.7925	mm/ns
Conductivity of copper $c0A-math-134$	$c0A-math-135$	$c0A-math-136$
Resistivity of copper $c0A-math-137$	$c0A-math-138$	$c0A-math-139$
Skin depth for copper $c0A-math-140$	$c0A-math-141$	$c0A-math-142$
Conductivity of aluminium $c0A-math-143$	$c0A-math-144$	$c0A-math-145$
Resistivity of aluminium $c0A-math-146$	$c0A-math-147$	$c0A-math-148$
Skin depth for aluminium $c0A-math-149$	$c0A-math-150$	$c0A-math-151$
Conductivity of brass $c0A-math-152$	$c0A-math-153$	$c0A-math-154$
Resistivity of brass $c0A-math-155$	$c0A-math-156$	$c0A-math-157$
Skin depth for brass $c0A-math-158$	$c0A-math-159$	$c0A-math-160$
Conductivity of lead-free solder $c0A-math-161$	$c0A-math-162$	$c0A-math-163$
Resistivity for lead-free solder $c0A-math-164$	$c0A-math-165$	$c0A-math-166$
Skin depth for lead-free solder $c0A-math-167$	$c0A-math-168$	$c0A-math-169$