How to calculate the magnetization force

1. The inctance is calculated by the following formula: coil formula
impedance (Ohm) = 2 * 3.14159 * f (working frequency) * inctance (MH), and 360ohm impedance is required for setting, so:
inctance (MH) = impedance (Ohm) ÷ ( 2*3.14159) ÷ F (working frequency) = 360 ÷ ( 2*3.14159) ÷ 7.06 = 8.116mh
the number of coils can be calculated:
number of coils = [inctance * {(18 * coil diameter (inch)) + (40 * coil length (inch))}] ÷ Circle diameter (in)
number of circles = [8.116 * {(18 * 2.047) + (40 * 3.74)}] ÷ 2.047 = 19 turns

calculation formula of hollow inctance

calculation formula of hollow inctance: l (MH) = (0.08d. D.n.n) / (3D + 9W + 10h)
d ----- coil diameter
n ----- coil turns
d ----- wire diameter
H ----- coil height
W --- coil width

in mm and MH respectively<
inctance calculation formula of hollow coil:

L = (0.01 * D * n * n) / (L / D + 0.44)

coil inctance unit: Weiheng
coil diameter unit: cm
coil turns unit: turns
coil length unit: cm

frequency inctance capacitance calculation formula:

L = 25330.3 / [(F0 * F0) * C]

working frequency: F0 unit: MHz F0 = 125kHz = 0.125< Resonant capacitance: C unit: pf the definition of this problem is C = 500... 1000pf, which can be determined by itself or by Q
value
resonant inctance: l unit: Weiheng
calculation formula of coil inctance
Author: calculation formula of coil inctance is posted from: reprinted hits: 299

1. For circular core, the following formula can be used: (iron)

L = N2. Al l = inctance value (H)
h-dc = 0.4 π Ni / L n = coil turns (turns)
al = inction coefficient
h-dc = DC magnetization force, I = through current (a)
L = magnetic circuit length (CM)
L and al value can refer to micrometal comparison table. For example, with t50-52 material and five and a half coils, its L value is t50-52 (which means od is 0.5 inch), and its al value is about 33nh

L = 33. (5.5) 2 = 998.25nh ≈ 1 μ H
when the current is 10a, its L value can be changed from L = 3.74 (look up the table)
h-dc = 0.4 π NI / l = 0.4 × three point one four × five point five × 10 / 3.74 = 18.47 (after looking up the table)
we can know the decline degree of L value μ i%)

2 An empirical formula
L = (k) is introced* μ 0* μ S * N2 * s) / L
where
μ 0 is vacuum permeability = 4 π* 10(-7) 10)
μ S is the relative permeability of the inner core of the coil μ S = 1
N2 is the square of the number of coils
s is the cross-sectional area of the coil, the unit is the square meter
L is the length of the coil, the unit is the meter
K coefficient, which depends on the ratio of the radius (R) to the length (L) of the coil

the unit of inctance calculated is Henry.

2. Unknown_Error

3. Many of them are empirical formulas. I'm not sure whether the formula is correct or not for the moment, but from the aspect of influencing factors, it still conforms to the law.
questions 1 and 4 are the same problem, that is, the lift distance between the magnet and the object. In question 2, we can choose the unit of the international system of units. In question 3, the magnetic force is related to the magnetic flux, while the magnetic flux is related to the area and has nothing to do with the length, Nature has nothing to do with the length of iron core
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -. In 1954, the Tenth International Conference on Metrology decided to use meter (m), kilogram (kg), second (s), ampere (a), Kelvin (k) and candela (CD) as basic units. In 1960, the 11th International Conference of Metrology decided to name the system of practical units of measurement based on these six units as "international system of units" and set its symbol as "Si". Later, the 14th International Conference on Metrology in 1974 decided to increase the unit mole (mol) of substance as the basic unit. Therefore, there are seven basic units in the international system of units
the international system of units has two auxiliary units, radian and sphericity
Si derived units are derived from Si basic units by definition. There are many types of Si derived units. Here are three types: a part of Si derived units expressed in Si basic units; a part of Si derived units expressed in Si basic units; Si export unit with special name; A part of the Si derived units represented by Si auxiliary units
among them, there are 19 Si export units with special names. Seventeen of them are named after outstanding scientists, such as Newton, Pascal, Joule and so on, to commemorate their contributions in this field. At the same time, for convenience, these export units can be combined with other units to represent other more complex export units
the international system of units is the foundation and core of metrology research. In particular, the reproction, preservation and value transfer of the seven basic units are the most fundamental research topics in metrology

Si basic unit
unit name unit symbol
length meter m
mass kilogram kg
time seconds s
current ampere a
thermodynamic temperature Kelvin K
luminous intensity candela CD
mass mol

Si auxiliary unit
unit name unit symbol
plane Angular radian rad
solid angular sphericity SR

Si derived unit name unit symbol
frequency Hz
force; Gravity Newton n
pressure, pressure Pascal PA
energy; Merit; Thermal focus J
power; Radiation flux w
charge Library C
potential; Voltage; Electromotive force V
capacitance f
resistance ohm Ω
conctance [gate] s
magnetic flux [Weibull] WB
magnetic flux density Magnetic inction T
inctance h
centigrade temperature ℃
luminous flux LM
luminous intensity LX
radioactivity Becquerel BQ
absorbed dose Gy
dose equivalent SV

definition of Si basic unit
length: meter (m)
1 In 1960, the 11th International Conference on Metrology said: "the length of the meter is equal to 1650763.73 times of the wavelength of the radiation from the transition between 2p10 and 5d1 levels of krypton-86 atom in vacuum."< In October 1983, the 17th International Conference on Metrology was held in Paris: "meter is the length of light's travel in vacuum in a time interval of 1 / 299792458 seconds"

mass: kilogram (kg)
kilogram is defined as the mass of international kilogram< In 1967, the 13th International Conference on weights and measures adopted the following definition instead of the astronomical definition of second: one second is the ration of 9192631770 cycles of transition radiation between two hyperfine energy levels in the ground state of cesium-133 atom
International Atomic Time is an international reference time scale based on the definition of the second above, which belongs to the international system of units (SI)

current: Ampere [Pei] (a)
ampere is a constant current. If the current is kept in two infinite parallel straight wires with a distance of 1m in vacuum, and the circular cross section can be ignored, the force generated between the two wires is equal to 2 × 10-7 Newton. The definition was approved at the 9th International Conference on measurement in 1948. At the 11th International Conference on measurement in 1960, ampere was officially adopted as one of the basic units of the international system of units. Ampere is named in memory of the French physicist A. - M. ampere

thermodynamic temperature: Kelvin (k)
Kelvin is Kelvin for short, international code K, the unit of thermodynamic temperature. Kelvin is one of the seven basic units in the international system of units (SI). With absolute zero (0k) as the lowest temperature, the temperature of the triple point of water is 273.16k, and 1K is equal to 1 / 273.16 of the triple point temperature of water. The relationship between the thermodynamic temperature T and the commonly used centigrade temperature T is t = t + 273.15, because the freezing point temperature of water is approximately equal to 273.15k, and the unit opening (k) of the thermodynamic temperature is exactly the same as the unit centigrade (℃) of the centigrade temperature. Kelvin was named in memory of British physicist Lord Kelvin

luminous intensity: candela (CD)
candela is the luminous intensity of a light source in a given direction, and the luminous frequency of the light source is 540 × The radiation intensity in this direction is 1 / 683 watts per degree of spherical surface.
540 in the definition × The radiation wavelength of 1012 Hz is about 555nm, which is the most sensitive wavelength for human eyes.

the amount of matter: mole (mol)
refers to the physical quantity of the number of particles (the amount of matter is a special term, which can not be separated and omitted)
mole is the unit of the amount of physical quantity matter
according to scientific measurement, The number of C atoms in 12g 12C is 6.0220943 × 1023 is represented by the sign Na, which is called Avogadro constant
the approximate value of Avogadro constant (NA) is 6.02 × 1023
definition: all particles with Avogadro constant (about 6.02) are small particles × 1023), the amount of which is 1 mole

definition of Si auxiliary unit
plane angle: radian (RAD)
the center angle of an arc whose circumference is 2 Π R is 2 π Arc, the central angle of an arc of half circumference is Π radian

solid angle: sphericity (SR)
with the center of the ball with radius r as the vertex, the surface area of the sphere corresponding to the expanded solid angle is R ^ 2, and the size of the solid angle is sphericity<

definition of Si derived units
frequency: Hertz (Hz)
frequency of a periodic process occurring in 1 second interval, i.e. 1Hz = 1s ^ - 1

force; Gravity: Newton (n)
force that makes an object of one kilogram mass proce an acceleration of one meter per second, i.e. 1n = 1kg · M / S ^ 2

pressure: Pascal (PA)
equal to 1 newton per square meter, i.e. 1pA = 1n / M

energy; Merit; Heat: Joule (J)
the work done when the action point of 1 Newton force moves 1 meter in the direction of force, that is, 1J = 1n · m

power; Radiation flux w
the power of procing 1 joule energy in 1 second interval, that is, 1W = 1J / s

amount of charge: Coulomb (c)
amount of charge transported by one ampere current in 1 second interval, that is, 1c = 1a · s

potential; Voltage; Electromotive force: volt [t] (V)
when the power consumed between two points is 1 watt, the potential difference between the two points is 1 volt [t], that is, 1V = 1W / a

capacitance: Faraday (f)
when the capacitor is charged with 1 Coulomb, there is a potential difference of 1 volt between its two plates, that is, 1F = 1C / V

resistance: Ohm Ω
the resistance between two points of a conctor, when a constant potential difference of 1 volt is applied between the two points, a current of 1 ampere is generated in the conctor, and there is no electromotive force in the conctor, i.e. 1 Ω= 1V / a

conctance: West Gate (s)
conctance is equal to the reciprocal of resistance, i.e. 1s = 1/ Ω

magnetic flux: Weibull (WB)
physical quantity characterizing the distribution of magnetic field. The flux D passing through the facet DS somewhere in the magnetic field Φ B is defined as the projection of B and DS in the direction perpendicular to B, dscos θ The magnetic flux density and the magnetic inction intensity are: terahertz (T)
when a 1-meter-long wire perpendicular to the direction of the magnetic field passes through a current of 1 ampere and the force of the magnetic field is 1 Newton, the magnetic inction intensity of the electrified wire is 1 Tesla, that is, 1t = 1n / (a · m)

inctance: Henri (H)
inctance of a closed loop, When the current flowing through the circuit changes uniformly at the rate of 1 ampere per second, 1 volt electromotive force is generated in the circuit, that is, 1H = 1V · s / a

centigrade temperature: centigrade (℃)
boiling point is set as a network, freezing point is set as zero, which is divided into 100 equal parts and one equal part is one degree, That is, 1 ℃ = 1k-273.15

luminous flux: flux (LM)
the luminous intensity is 1 candela (CD), and the luminous flux within the unit solid angle (1 sphericity) is 1 lumen, that is, 1lm = 1CD / Sr

illuminance: lux (LX)
the luminous flux of 1 lumen is evenly distributed over an area of 1 square meter, which is one lux, That is, 1LX = 1lm / m ^ 2

activity: Becquerel (BQ)
is equal to the activity of 1 second, that is, 1BQ = 1s ^ - 1

absorbed dose: Gy
is equal to the absorbed dose of 1 joule per kilogram, that is, 1Gy = 1J / kg

dose equivalent: SV
is equal to the dose equivalent of 1 joule per kilogram, that is, 1SV = 1J / kg

4. Unknown_Error

5. Impedance (Ohm) = 2 * 3.14159 * f (working frequency) * inctance (MH),

360ohm impedance is required for setting, so:

inctance (MH) = impedance (Ohm) ÷ ( 2*3.14159) ÷ F (working frequency) = 360 ÷ ( 2*3.14159) ÷ 7.06 = 8.116mh

the number of coils can be calculated:

number of coils = [inctance * {(18 * coil diameter (inch)) + (40 * coil length (inch))}] ÷ Circle diameter (in)

number of circles = [8.116 * {(18 * 2.047) + (40 * 3.74)}] ÷ 2.047 = 19 turns

calculation formula of air core inctance

calculation formula of air core inctance: l (MH) = (0.08d. D.n.n) / (3D + 9W + 10h)

d --- coil diameter

n --- coil turns

d --- wire diameter

H-- --Coil height

W --- coil width

in mm and MH respectively<

inctance calculation formula of air core coil:

L = (0.01 * D * n * n) / (L / D + 0.44)

coil inctance L unit: Micro Heng

coil diameter D unit: cm

coil turns n unit: turns

coil length L unit: cm

frequency inctance capacitance calculation formula:

L = 253 30.3 / [(F0 * F0) * C]

working frequency: F0 unit: MHz, F0 = 125kHz = 0.125

resonant capacitor: C unit: PF, C = 500... 1000pf, which can be determined by itself or by Q value

resonant inctance: l unit: Weiheng

calculation formula of coil inctance

1, The following formula can be used: (iron)

L = N2. Al l = inctance value (H)

h-dc = 0.4 π Ni / L n = coil turns (turns)

al = inction coefficient

h-dc = DC magnetization force, I = through current (a)

L = magnetic circuit length (CM)

L and al value can refer to microl comparison table

for example, with t50-52 material and five and a half coils, its L value is t50-52 (which means od is 0.5 inch), and its al value is about 33nh

L = 33. (5.5) 2 = 998.25nh ≈ 1 μ H

when the current is 10a, its L value can be changed from L = 3.74 (look up table)

h-dc = 0.4 π NI / l = 0.4 × three point one four × five point five × 10 / 3.74 = 18.47 (after looking up the table)

we can know the decline degree of L value μ I%)

2. Introce an empirical formula

L = (k)* μ 0* μ S * N2 * s) / L

where

μ 0 is vacuum permeability = 4 π* 10(-7) 10)

μ S is the relative permeability of the inner core of the coil μ S = 1

N2 is the square of the number of coils

s is the cross-sectional area of the coil, in square meters

L is the length of the coil, in meters

K coefficient, which depends on the ratio of the radius (R) to the length (L) of the coil

the unit of inctance calculated is Henry

k value table

2R / l k

0.1 0.96

0.2 0.92

0.3 0.88

0.4 0.85

0.6 0.79

0.8 0.74

1.0 0.69

1.5 0.6

2.0 0.52

3.0 0.43

4.0 0.37

5.0 0.32

10 zero point two

6. Inctance calculation formula:
method 1,
L= μ× AE * N2 /
L
where: l represents inctance μ Represents the permeability of the core, AE represents the cross-sectional area of the core, n represents the number of turns of the coil, LM represents the magnetic circuit length of the core< Method 2: empirical formula:
L = (k)* μ 0* μ S * N2 * s) / L
where
μ 0
is vacuum permeability = 4 π* 10-7 10)
μ S
is the relative permeability of the inner core of the coil μ S = 1
N2
is the square of the number of coils
s
the cross-sectional area of the coil, in square meters
L
the length of the coil,
in meters
K
coefficient, depending on the ratio of the radius (R) to the length (L) of the coil
the unit of inctance is Henry (H).

7. Suction f = magnetization force * magnetic circuit length * magnetic flux density * magnetic circuit cross section area / air gap distance.