e691e252-6185-4a21-a2c9-51e9de89c7dd 6 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

a b / a b / :

Consider a 24-gauge, annealed copper conductor where

μ ρ r 31 mat 4 π * 107 -^* H m / * 1.724 108 -^* Ω * m * 20.10 2 / 103 -^* in * 31 mat :

μ ρ r 31 mat permeability resistivity radius 31 mat ≡

The single-wire dc resistance is given by

R.dc ρ π r 2^* (/ :

R.dc Ω mi / 135.53

The single-wire ac resistance is given by

n x be n x e 3 i * π * 4 /^* Jv :

n x be' n n 2 sqrt x * 12 / - 12 / i * + (* Jv * x / 2 sqrt n 1 + 2 sqrt x * 12 / - 12 / i * + (* Jv * 12 / 12 / i * - (* + :

f R.ac i R.dc r * 2 / * 2 π * f * μ * ρ / sqrt * 0 r 2 π * f * μ * ρ / sqrt * be 0 r 2 π * f * μ * ρ / sqrt * be' / * Re :

1 MHz * R.ac Ω m / 0.186

13.56 MHz * R.ac 0.621 Ω m / *