圆柱线圈的电感(R=半径,L=长度,N=匝数)
作者: kegasa执行次数: 416
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μ0 = 4*π*10⁻⁷;
D=2*R;
x=D/L;
k=1/√(1+(L/(2*R))²);
k2=k^2;
Kn=(4/(3*π*√(1-k2))*(((1-k2)/k2)*ellipticK(k)-((1-2*k2)/k2)*ellipticE(k)-k));
S = π*R²;
Lcoil=Kn*ur*μ0*S*N²/L*10⁶;
print(D);
print(x);
print(Kn);
print(Lcoil);
print(S);
ω = 2*π*frequency;
LcoilH = Lcoil/10^6;
XL = ω*LcoilH ;
C = 1/(ω*XL);
CpF = C *10^12;
print(XL);
print(CpF);
LengthWire = pi*D*N;
print(LengthWire);
λ=(299792458)/frequency;
Rr = (8/3)*pi^3*120*pi*(N*S/λ^2)^2;
print(Rr);
δ = sqrt(2*ρ/(ω*μ0));
radius = radius_mm/1000;
Rdc = ρ*LengthWire /(π*radius^2);
Rac = ρ*LengthWire /(π*(radius^2-(radius-δ)^2));
Diameter_mm = 2*radius_mm;
δmicron = δ*10^6;
print(Diameter_mm );
print(Rdc);
print(δmicron);
print(Rac);
η = Rr/(Rr+Rac)*100;
print(η);
heff = 2*pi*N*S/λ;
print(heff);
Q = XL/Rac;
print(Q);
print(ρ);
Vo = Q*heff*Eradio;
Rp = Q^2*(Rr+Rac);
print(Vo);
print(Rp);
D=2*R;
x=D/L;
k=1/√(1+(L/(2*R))²);
k2=k^2;
Kn=(4/(3*π*√(1-k2))*(((1-k2)/k2)*ellipticK(k)-((1-2*k2)/k2)*ellipticE(k)-k));
S = π*R²;
Lcoil=Kn*ur*μ0*S*N²/L*10⁶;
print(D);
print(x);
print(Kn);
print(Lcoil);
print(S);
ω = 2*π*frequency;
LcoilH = Lcoil/10^6;
XL = ω*LcoilH ;
C = 1/(ω*XL);
CpF = C *10^12;
print(XL);
print(CpF);
LengthWire = pi*D*N;
print(LengthWire);
λ=(299792458)/frequency;
Rr = (8/3)*pi^3*120*pi*(N*S/λ^2)^2;
print(Rr);
δ = sqrt(2*ρ/(ω*μ0));
radius = radius_mm/1000;
Rdc = ρ*LengthWire /(π*radius^2);
Rac = ρ*LengthWire /(π*(radius^2-(radius-δ)^2));
Diameter_mm = 2*radius_mm;
δmicron = δ*10^6;
print(Diameter_mm );
print(Rdc);
print(δmicron);
print(Rac);
η = Rr/(Rr+Rac)*100;
print(η);
heff = 2*pi*N*S/λ;
print(heff);
Q = XL/Rac;
print(Q);
print(ρ);
Vo = Q*heff*Eradio;
Rp = Q^2*(Rr+Rac);
print(Vo);
print(Rp);
| 直径 | m |
| 2*R/L | |
| Kn(nagaoka) | |
| 电感 | μH |
| S (π*R²) | m² |
| XL | 欧姆 |
| C | pF |
| 线长 | m |
| Rr | 欧姆 |
| 直径_mm | mm |
| Rdc | 欧姆 |
| δ微米 | μm |
| Rac | 欧姆 |
| η | % |
| heff | m |
| Q XL/Rac | |
| ρ | Ω・m |
| Vo | mV |
| Rp | Ω |
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S = π*R²;
Lcoil=Kn*ur*μ0*S*N²/L*10⁶;