==== Calculator of inductance of a straight elliptical non-magnetic wire ==== |< 100% 10% 90% >| | {{/calculator/icon_calc.png?60&nolink}} | //[[user/Stan Zurek]], Calculator of inductance of a straight elliptical magnetic wire, Encyclopedia Magnetica//, \\ https://www.e-magnetica.pl/doku.php/calculator/inductance_of_straight_elliptical_wire, {accessed: @YEAR@-@MONTH@-@DAY@} | | {{/wiki/logo.png?20&nolink}} //See more: [[/Calculators of inductance]]// || Definition of the dimensions of a **straight elliptical wire** [[/file/inductance_of_straight_elliptical_wire_png|{{/inductance_of_straight_elliptical_wire.png}}]] {{page>insert/by_SZ}} [[/Inductance]] of a [[/straight wire]] or conductor made from [[/nonmagnetic material]] with elliptical cross-section can be calculated with the the equation as specified below.
Wire diameter a =      

Wire diameter a =      

Wire length l =      

      

L = Grover, eq. (1)
=== Equations === //Note: Several assumptions are made for all these equations: 1) The return path is **not** considered so the total inductance of the complete circuit can be significantly different. 2) The length of the wire is assumed to be significantly longer than its diameter(s) (a,b << l), otherwise the calculation errors might be excessive. 3) The wire and the surrounding medium is assumed to be non-magnetic (μr = 1). 4) The current is uniformly distributed inside the wire (no [[/skin effect]]). 5) The equations were converted here to be consistent with [[/SI units]].// |< 100% >| ^ Inductance of a straight round magnetic wire or conductor ^^^ | // Source: [2] F.W. Grover, Inductance Calculations: Working Formulas and Tables, ISA, New York, 1982, ISBN 0876645570// ||| | **(1)** \\ //[2] Grover, eq. (10), p. 36// | $$ L = \frac{μ_0 ⋅ l}{2⋅π}⋅\left( ln \left( \frac{4⋅l}{a+b} \right) - 0.05685 \right) $$ | (H) | | where: $μ_0$ - [[/magnetic permeability of vacuum]] (H/m), $l$ - wire length (m), $a$, $b$ - shorted and longer diameters of ellipse (m) ||| | //The original Grover's equation is expressed by "semiaxes" α, β of the ellipse, with the under-logarithm coefficient as 2·l/(α+β), hence if the full "diameters" are used then this becomes 4·l/(a+b), as written above.// ||| ↑ {{page>insert/paypal}} {{tag>Calculators Inductance_of_straight_wire Inductance_of_straight_conductor Elliptical_wire Elliptical_conductor}}