空芯线圈电感计算公式
时间：2022-10-22 10:30:00
?01 空心线圈
在网页 Coil Inductance Calculator 给出了空心线圈电感的公式和网页计算器。单层空心线圈、多层空心线圈和单层螺旋空心线圈的电感计算公式。
以下公式：
- N = Number of turns
- r = Coil radius in inches
- l = Coil length in inches
- d = Winding depth in inches
- L = Inductance in microhenrys (μH)
1.单层空芯线圈
线圈尺寸：
线圈电感：
L = r 2 N 2 9 r 10 l ??? μ H L = {
{r^2 N^2 } \over {9r 10l}}\,\,\,\,\mu H L=9r 10lr2N2μH
2.多层空芯线圈
线圈尺寸：
线圈电感：
L = 0.8 ( r 2 N 2 ) 6 r 9 l 10 d ??? μ H L = { {0.8\left( {r^2 N^2 } \right)} \over {6r 9l 10d}}\,\,\,\,\mu H L=6r+9l+10d0.8(r2N2)μH
3.单层螺旋线圈
线圈尺寸：
线圈电感：
L = r 2 N 2 8 r + 11 d μ H L = {
{r^2 N^2 } \over {8r + 11d}}\,\,\,\,\mu H L=8r+11dr2N2μH
➤02 网页计算公式
1.计算结果
下面是根据 空心线圈计算公式 网页中给出计算交互界面，对于博文中 单管发报机的神奇之处-身兼两职 中高频振荡器空心线圈电感量计算。
线圈参数分别是：
- 线圈直径：8mm，d=0.31496inches; r=0.1578inches.
- 线圈长度：20mm
- 线圈匝数：10匝
其中 毫米(mm)到英寸（inch）之间的换算关系：
L i n c h = L m m 25.4 L_{inch} = {
{L_{mm} } \over {25.4}} Linch=25.4Lmm
➤03 不同的计算公式
1.复杂公式
R. Weaver’s article Numerical Methods for Inductance Calculation
L s = 0.002 π D N 2 [ ln ( 1 + π D 2 l ) + ( 2.3004 + 3.437 l D + 1.7636 ( l D ) 2 − 0.47 ( 0.75 + D l ) 1.44 ) − 1 ] L_s = 0.002\pi DN^2 \left[ {\ln \left( {1 + { {\pi D} \over {2l}}} \right) + \left( {2.3004 + 3.437{l \over D} + 1.7636\left( { {l \over D}} \right)^2 - { {0.47} \over {\left( {0.75 + {D \over l}} \right)^{1.44} }}} \right)^{ - 1} } \right] Ls=0.002πDN2⎣⎡ln(1+2lπD)+(2.3004+3.437Dl+1.7636(Dl)2−(0.75+lD)1.440.47)−1⎦⎤
- D is the coil former diameter in cm,
- l is the coil length in cm,
- N is the number of turns, and
- L is the inductance in μH.
➤※ 参考文献
- Inductors and Transformers
- An introduction to the art of Solenoid Inductance Calculation With emphasis on radio-frequency applications
- Inductor resonance and self-resonance experiments
- The self-resonance and self-capacitance of solenoid coils
