正方形环形天线的长冈系数Ks与电感L
作者: kegasa执行次数: 443
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μ0 = 4*π*10⁻⁷;
k0 = p/w;
k1 = w/p;
k2 = k1²;
k3 = k1³;
ksr1 = √(k2+1);
ksr2 = √(k2+2);
Ks = (2/π)*((k1-1/k1)*ln(ksr1/(ksr2+1)) + k1*ln((ksr1+1)/k1) + 2*atan(k1/ksr1) +
(1/k1)*(ksr1-ksr2-ln(sqrt(2)+1)+(1/3)*(k3+(k2+2)^(3/2)-2*(k2+1)^(3/2)+sqrt(2)-1)));
L = Ks*μ0*p^2*N^2/w;
LmicroH = L*10^6;
S = p^2;
print(k0);
print(Ks);
print(LmicroH);
print(S);
ω = 2*π*frequency;
XL = ω*L;
C = 1/(ω*XL);
CpF = C *10^12;
print(XL);
print(CpF);
LengthWire = 4*p*N;
print(LengthWire);
λ=(3*10^8)/frequency;
Rr = (8/3)*pi^3*120*pi*(N*S/λ^2)^2;
print(Rr);
ρ = 1.68*10⁻⁸;
δ = sqrt(2*ρ/(ω*μ₀));
radius = radius_mm/1000;
Rdc = ρ*LengthWire /(π*radius²);
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*p^2/λ;
print(heff);
Q = XL/Rac;
print(Q);
print(ρ);
Vo = Q*heff*Eradio;
print(Vo);
Rp = (Rr+Rac)*Q^2;
print(Rp);
k0 = p/w;
k1 = w/p;
k2 = k1²;
k3 = k1³;
ksr1 = √(k2+1);
ksr2 = √(k2+2);
Ks = (2/π)*((k1-1/k1)*ln(ksr1/(ksr2+1)) + k1*ln((ksr1+1)/k1) + 2*atan(k1/ksr1) +
(1/k1)*(ksr1-ksr2-ln(sqrt(2)+1)+(1/3)*(k3+(k2+2)^(3/2)-2*(k2+1)^(3/2)+sqrt(2)-1)));
L = Ks*μ0*p^2*N^2/w;
LmicroH = L*10^6;
S = p^2;
print(k0);
print(Ks);
print(LmicroH);
print(S);
ω = 2*π*frequency;
XL = ω*L;
C = 1/(ω*XL);
CpF = C *10^12;
print(XL);
print(CpF);
LengthWire = 4*p*N;
print(LengthWire);
λ=(3*10^8)/frequency;
Rr = (8/3)*pi^3*120*pi*(N*S/λ^2)^2;
print(Rr);
ρ = 1.68*10⁻⁸;
δ = sqrt(2*ρ/(ω*μ₀));
radius = radius_mm/1000;
Rdc = ρ*LengthWire /(π*radius²);
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*p^2/λ;
print(heff);
Q = XL/Rac;
print(Q);
print(ρ);
Vo = Q*heff*Eradio;
print(Vo);
Rp = (Rr+Rac)*Q^2;
print(Rp);
| p/w | |
| Ks | |
| L | μH |
| 面积 = p*p | 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 |
长冈系数完全椭圆积分总汇
2006年12月
作者“Minato”
社团“无家可归者~哦~”
方形截面线圈的长冈系数
https://kouyoubako.web.fc2.com/docu/nagaoka_elliptic_02.pdf
2006年12月
作者“Minato”
社团“无家可归者~哦~”
方形截面线圈的长冈系数
https://kouyoubako.web.fc2.com/docu/nagaoka_elliptic_02.pdf
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L Rr Rac η