Skin depth of a cylinder coper
Calculate the skin depth
constants:c epsilon0 mu0
Parameters
frequency
f
\(Hz\)
conductivity
`sigma`
\(S/m\)
radius
a
\(mm\)
length
L
\(mm\)
Output
angular frequency `omega`
`omega=2 pi f`
resistivity `rho`
`rho=1/sigma`
`p^2`
`p^2=j omega mu sigma`
k parameter ka
`ka=sqrt(omega mu sigma) a`
bessel function at the radius `J_0(pa)`
`abs(J_0(pa))`
skin depth `delta`
`delta=1/sqrt(pi f mu sigma)`
DC Resistance `R_{DC}`
`R_{DC}=l/(pi a^2 sigma)`
current area ratio
`(pi a^2)/(2pi a delta)=a/(2 delta)`
AC resistance `R_{AC}`
`R_{AC}/R_{DC}=(pi a^2)/(2 pi a delta)=a/(2 delta)`
Inductance `L`
`(omega L)/(R_{DC})=a/(2 delta)`
critical frequency `f_{critical}`
`delta(f_c)=a`