Induktivitások (L)

Ls←L0,L1,M L0 = L1 = M = ☺ Ls = \(L_s=L_0+L_1+2\cdot M\)

Lp←L0,L1,M L0 = L1 = M = ☺ Lp = \(L_p=\dfrac{L_0\cdot L_1+M^2}{L_0+L_1-2\cdot M}\)

D,Q,Rp←f,L,Rs L = f = Rs = ☺ ☺ D=tan(δ) = \(D=\tan(\delta)=\dfrac{R_s}{2\cdot\pi\cdot f\cdot L}\) δ = \(\delta=\arctan(D)\) Q = \(Q=\dfrac{1}{D}=\dfrac{2\cdot\pi\cdot f\cdot L}{R_s}\) Rp = \(R_p=\dfrac{\left(2\cdot\pi\cdot f\cdot L\right)^2}{R_s}\) cos φ = \(\cos\varphi=\dfrac{R}{|Z|}\)

D,Q,Rs←f,L,Rs L = f = Rp = ☺ ☺ D=tan(δ) = \(D=\tan(\delta)=\dfrac{2\cdot\pi\cdot f\cdot L}{R_p}\) δ = \(\delta=\arctan(D)\) Q = \(Q=\dfrac{1}{D}=\dfrac{R_p}{2\cdot\pi\cdot f\cdot L}\) Rs = \(R_s=\dfrac{\left(2\cdot\pi\cdot f\cdot L\right)^2}{R_p}\) cos φ = \(\cos\varphi=\dfrac{R}{|Z|}\)

L←f,X|Z f = ←L,XL|Z XL = ←f,L Z = *i ←f,L ☺ L =

f←L,X|Z L = ←f,Z XL = ←f,L Z = *i ←f,L ☺ f =

X,Y,Z←f,L f = ←L,Z L = ←f,XL|Z ☺ Y = \(Y=-\dfrac{1}{2\cdot\pi\cdot f\cdot L}\cdot\mathrm{i}\) XL = \(X_L=2\cdot\pi\cdot f\cdot L\) Z = \(Z=2\cdot\pi\cdot f\cdot L\cdot\mathrm{i}\)

E,I←L,Ψ L = ←I,Ψ ←E,Ψ ←E,I Ψ = ←I,L ←E,L ←E,I ☺ ☺ E = \(E=\dfrac{\Psi^2}{2\cdot L}\) I = \(I=\dfrac{\Psi}{L}\)	E,L←I,Ψ I = ←L,Ψ ←E,Ψ ←E,L Ψ = ←I,L ←E,L ←E,I ☺ ☺ E = \(E=\dfrac{I\cdot\Psi}{2}\) L = \(L=\dfrac{\Psi}{I}\)
E,Ψ←I,L I = ←L,Ψ ←E,Ψ ←E,L L = ←I,Ψ ←E,Ψ ←E,I ☺ ☺ E = \(E=\dfrac{I^2\cdot L}{2}\) Ψ = \(\Psi=I\cdot L\)	I,L←E,Ψ E = ←L,Ψ ←I,Ψ ←I,L Ψ = ←I,L ←E,L ←E,I ☺ I = \(I=\dfrac{2\cdot E}{\Psi}\) L = \(L=\dfrac{\Psi^2}{2\cdot E}\)
I,Ψ←E,L E = ←L,Ψ ←I,Ψ ←I,L L = ←I,Ψ ←E,Ψ ←E,I ☺ I = \(I=\sqrt{\dfrac{2\cdot E}{L}}\) Ψ = \(\Psi=\sqrt{2\cdot E\cdot L}\)	L,Ψ←E,I E = ←L,Ψ ←I,Ψ ←I,L I = ←L,Ψ ←E,Ψ ←E,L ☺ L = \(L=\dfrac{2\cdot E}{I^2}\) Ψ = \(\Psi=\dfrac{2\cdot E}{I}\)

N←AL,L AL = H ←L,N L = ←AL,N ☺ N = \(N=\sqrt{\dfrac{L}{A_L}}\)

L←AL,N AL = H ←L,N N = ←AL,L ☺ L = \(L=A_L\cdot N^2\)

AL←L,N L = ← AL,N N = ← AL,L ☺ ☺ AL = \(A_L=\dfrac{L}{N^2}\)

L←μr,a μr =  Ah = = a = ←L ☺ L = \(L=\dfrac{1}{2\cdot\pi}\cdot\mu_r\cdot\mu_0\cdot a\cdot\left(\ln\left(\dfrac{4\cdot a}{d_h}\right)-0,75\right)\)

a←μr,L μr = Ah = = L = ←a ☺ \(L=\dfrac{1}{2\cdot\pi}\cdot\mu_r\cdot\mu_0\cdot a\cdot\left(\ln\left(\dfrac{4\cdot a}{d_h}\right)-0,75\right)\) a =

a←μr,L,N μr = Ah = = L = ←a,N N = ←a,L ☺ \(L=\dfrac{3}{2\cdot\pi}\cdot\mu_r\cdot\mu_0\cdot a_a\cdot N^2\cdot\left(\ln\left(\dfrac{2\cdot a}{d_h}\right)-1,405\right)\) aa = ab = \(a_b=a_a-\sqrt{3}\cdot d_h\) lh = \(l_h=N\cdot 3\cdot a_a\)

L←μr,a,N μr =  Ah = = = N = ←a,L ☺ L = \(L=\dfrac{3}{2\cdot\pi}\cdot\mu_r\cdot\mu_0\cdot a_a\cdot N^2\cdot\left(\ln\left(\dfrac{2\cdot a_a}{d_h}\right)-1,405\right)\) lh = \(l_h=N\cdot 3\cdot a_a\)

N←μr,a,L μr =  Ah = = = L = ←d,N ☺ N = \(N=\sqrt{\dfrac{2\cdot\pi\cdot L}{3\cdot\mu_r\cdot\mu_0\cdot a_a\cdot\left(\ln\left(\dfrac{2\cdot a_a}{d_h} \right)-1,405\right)}}\) lh = \(l_h=N\cdot 3\cdot a_a\)

a←μr,L,N μr = Ah = = L = ←a,N N = ←a,L ☺ \(L=\dfrac{2}{\pi}\cdot \mu_r\cdot \mu_0\cdot a_a\cdot N^2\cdot\left(\ln\left(\dfrac{2\cdot a_a}{d_h}\right)-0,774\right)\) aa = ab = \(a_b=a_a-d_h\) lh = \(l_h=N\cdot 4\cdot a_a\)

L←μr,a,N μr =  Ah = = = N = ←a,L ☺ L = \(L=\dfrac{2}{\pi}\cdot\mu_r\cdot\mu_0\cdot a_a\cdot\ N^2\cdot\left(\ln\left(\dfrac{2\cdot a_a}{d_h}\right)-0,774\right)\) lh = \(l_h=N\cdot 4\cdot a_a\)

N←μr,a,L μr =  Ah = = = L = ←a,N ☺ N = \(N=\sqrt{\dfrac{\pi\cdot L}{2\cdot\mu_r\cdot\mu_0\cdot a_a\cdot\left(\ln\left(\dfrac{2\cdot a_a}{d_h}\right)-0,774\right)}}\) lh = \(l_h=N\cdot 4\cdot a_a\)

d←μr,L,N μr = Ah = = L = ←d,N N = ←d,L ☺ \(L=\dfrac{1}{2}\cdot\mu_r\cdot\mu_0\cdot d_a\cdot N^2\cdot\left(\ln\left(\dfrac{8\cdot d_a}{d_h}\right)-2\right)\) da = db = \(d_b=d_a-d_h\) lh = \(l_h=N\cdot \pi\cdot d_a\)

L←μr,d,N μr =  Ah = = = N = ←d,L ☺ L = \(L=\dfrac{1}{2}\cdot\mu_r\cdot\mu_0\cdot d_a\cdot N^2\cdot\left(\ln\left(\dfrac{8\cdot d_a}{d_h}\right)-2\right)\) lh = \(l_h=N\cdot\pi\cdot d_a\)

N←μr,d,L μr =  Ah = = = L = ←d,N ☺ N = \(N=\sqrt{\dfrac{2\cdot L}{\mu_r\cdot\mu_0\cdot d_a\cdot\left(\ln\left(\dfrac{8\cdot d_a}{d_h}\right)-2\right)}}\) lh = \(l_h=N\cdot\pi\cdot d_a\)

L←μr,d,l,N μr =  dh = \(l_a/(N+0,5)=l_k/(N+1)\) Ah = = = la = \(d_h\cdot(N+0,5)\) = N = ←d,L ☺ L0 = \(L_0=\dfrac{\mu_r\cdot\mu_0\cdot d_a^2\cdot N^2}{1,7593\cdot l_a+0,50266\cdot d_a}\) L1 = \(L_1=\dfrac{\mu_r\cdot\mu_0\cdot d_a^2\cdot N^2}{1,2566\cdot l_a+0,56549\cdot d_a}\) L2 = \(L_2=\dfrac{\mu_r\cdot\mu_0\cdot d_a^2\cdot N^2}{1,2767\cdot l_a+0,57454\cdot d_a}\) L3 = \(L_3=\mu_r\cdot\mu_0\cdot k\cdot d_a\cdot N^2\) \(0,01\le\dfrac{d_a}{l_a}\le 1\rightarrow k=0,6398\cdot\left(\dfrac{d_a}{l_a}\right)^{0,912}\) \(1\lt\dfrac{d_a}{l_a}\le 100\rightarrow k=0,6517+0,5443\cdot\ln\left(\dfrac{d_a}{l_a}\right)\) dh = da = db = la = lk = lh = \(l_h=\sqrt{(N\cdot\pi\cdot d_a)^2+l_a^2}\)

N←μr,d,l,L μr =  dh = \(l_a/(N+0,5)=l_k/(N+1)\) Ah = = = la = \(d_h\cdot(N+0,5)\) = L = ←d,L ☺ da[0..4] = N0 = \(L_0=\dfrac{\mu_r\cdot\mu_0\cdot {d_a}^2\cdot N^2}{1,7593\cdot l_a+0,50266\cdot d_a}\) dh0 <= da0 = db0 = la0 = lk0 = lh0 = \(l_h=\sqrt{\left(N\cdot\pi\cdot d_a\right)^2+{l_a}^2}\) N1 = \(L_1=\dfrac{\mu_r\cdot\mu_0\cdot {d_a}^2\cdot N^2}{1,2566\cdot l_a+0,56549\cdot d_a}\) dh1 <= da1 = db1 = la1 = lk1 = lh1 = N2 = \(L_2=\dfrac{\mu_r\cdot\mu_0\cdot {d_a}^2\cdot N^2}{1,2767\cdot l_a+0,57454\cdot d_a}\) dh2 <= da0 = db2 = la2 = lk2 = lh2 = N3 = \(L_3=\mu_r\cdot\mu_0\cdot k\cdot d_a\cdot N^2\) \(0,01\le\dfrac{d_a}{l_a}\le 1\rightarrow k=0,6398\cdot\left(\dfrac{d_a}{l_a}\right)^{0,912}\) \(1\lt\dfrac{d_a}{l_a}\le 100\rightarrow k=0,6517+0,5443\cdot\ln\left(\dfrac{d_a}{l_a}\right)\) dh3 <= da3 = db3 = la3 = lk3 = lh3 =

\(L_0=\dfrac{d_a\cdot N^2}{0,14\cdot\dfrac{l_a}{d_a}+0,04}\) [da] = [l] = cm; [L0] = cm Molnár, Jovitza: Rádiósok könyve, 85. oldal ( reprint 1994. ). \(L_1=\dfrac{d_a^2\cdot N^2}{100\cdot l_a+45\cdot d_a}\) [da] = [l] = cm; [L1] = μH Rádióamatőrök kézikönyve 1978. 1.28.   \(L_2=\dfrac{r_a^2\cdot N^2}{10\cdot l_a+9\cdot r_a}\) [da] = [l] = inch; [L2] = μH Wheeler képlet \(L_3=k\cdot d_a\cdot N^2\) \(0,01\le\dfrac{d_a}{l_a}\le 1\rightarrow k=8,04\cdot 10^{-3}\cdot\left(\dfrac{d_a}{l_a}\right)^{0,912}\) \(1\lt\dfrac{d_a}{l_a}\le 100\rightarrow k=8,19\cdot 10^{-3}+6,84\cdot 10^{-3}\cdot\ln\left(\dfrac{d_a}{l_a}\right)\) [da] = [l] = cm; [L3] = μH HE 1993-03-101.