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l=ψ/i。
The basic formula for inductance is: l= i. The formula for defining inductance is:
l=phi/i。That is, the quotient of voltage divided by the current as a derivative of time. Empirical formula:
l=(k*μ0*μs*n2*s)/l。The definition of inductance is as follows: 1. The quotient of voltage divided by the current as a derivative of time.
2. L=PHI I (In a circuit, when an electric current flows through a conductor, an electromagnetic field is generated.
The magnitude of the electromagnetic field divided by the magnitude of the current is the inductance). 3. Inductance is the magnetic flux of the wire that generates alternating magnetic flux in and around the wire when the alternating current passes through the wire.
The ratio of the current to which this flux is produced. 4. The inductance definition formula l= i, which means that the magnetic flux of the coil is caused by a unit of current. The formula for calculating the inductance of an inductive device:
Method 1, L = AE*N2 L, where: L represents the inductance, represents the permeability of the core, AE represents the cross-sectional area of the core, N represents the number of turns of the coil, and LM represents the length of the magnetic circuit of the core. Method 2, Empirical Formula:
l=(k* 0* s*n2*s) l, where 0 is the vacuum permeability.
4π*10(-7)。(minus seventh power of 10), s is the relative permeability of the core inside the coil.
In the case of an empty coil, s=1, n2 is the square of the number of coils, the cross-sectional area of the s coil in square meters, the length of the l coil, the unit is meters, and the k coefficient depends on the ratio of the radius (r) to the length (l) of the coil. The unit of calculated inductance is Henry (h).
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The inductor voltage is calculated by the formula v(t)=l*di dt. l is the inductance, and di dt represents the derivative of the current to time, which can be understood as the speed of the current change. Di dt is the change of current per unit time, note that this is the current change, not the current, so if it is a continuous and stable current (pure DC), the voltage at both ends of the inductor is very small (then the voltage at both ends becomes) V=IR where I is the current value and R is the pure resistance value of the coil.
Derivation of the inductor voltage formula v(t)=l*di dt:
The current flows through the coil, the space around the coil will excite the magnetic field, and the magnetic field lines will pass through the coil, if the current is changing, then, the magnetic flux will change, and the induced electromotive force will be generated in the coil, if the coil is tightly wound, the magnetic flux of each turn is approximately the same, n turns is n, the induced electromotive force e=dn dt, the magnetic flux is proportional to the magnetic induction intensity b, and the magnetic induction intensity b is proportional to the current i, so the magnetic flux is proportional to the current, that is, n = li.
where l is the proportional coefficient, called the inductance coefficient, so, e=dn dt=dli dt=ldi dt, the induced current is generated by the induced electromotive force, which can be calculated by Ohm's law, The induced electromotive force is proportional to the rate of change of the magnetic flux with time, i.e. e=d dt, The relationship between inductance and induced electromotive force has been deduced above, the calculation formula of inductive reactance: xl = l = 2 fl, xl is the inductive reactance, the unit is ohm, is the angular velocity of the alternator operation, the unit is radian seconds, f is the frequency, The unit is hertz, l is the coil inductance, and the unit is Henry.
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Method 1
l=μ×ae*n2/
l where: l represents the inductance, represents the permeability of the core, ae represents the cross-sectional area of the core, n represents the number of turns of the coil, and lm represents the length of the magnetic circuit of the core.
Method 2, Empirical Formula:
l=(k*μ0*μs*n2*s)/l
where 0 is the vacuum permeability = 4 * 10 (-7). (minus 7th power of 10) s is the relative permeability of the core inside the coil, and in the case of an empty coil s=1n2 is the square of the number of coils.
The cross-sectional area of the S coil in square meters.
l The length of the coil in meters.
k factor, which depends on the ratio of the radius (r) to the length (l) of the coil.
The unit of calculated inductance is Henry (h).
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1. The calculation formula of air-core inductance: l(mh)=(
where d is the coil diameter, n is the number of coil turns, d is the wire diameter, h is the coil height, w is the coil width, and the units are millimeters and mh, respectively.
2. The calculation formula of air coil inductance: l=(
Among them, the unit of coil inductance l is micro-heng, the unit of coil diameter d is cm, the unit of coil turns n is turns, and the unit of coil length l is cm.
3. Calculation formula of frequency inductor capacitance: l=
Among them, the working frequency: f0 unit: MHz This question f0 = 125khz =
1) Resonant capacitance: C unit: C=500-1000PF in PF can be decided by yourself, or determined by Q value.
2) Resonant inductance: l unit is micro-hyme.
4. The calculation formula of coil inductance: For the circumferential core, the following formula can be used: (iron).
1) l = inductance value (h).
2) H-DC = number of coil turns (turns).
3) AL = induction coefficient.
4) H-DC = DC magnetizing force i = passing current (a).
5) l = magnetic circuit length (cm).
Note: For the size of L and Al values, please refer to the MicroL comparison table.
For example, with T50-52 material, the coil has 5 and a half turns, and its L value is T50-52 (indicating that OD is inch), and its Al value is about 33NH after checking the table.
Where: l=33(When a current of 10A is flowed, its L value change can be changed by L=Lookup Table).
Again: h-dc = after looking up the table), you can understand the degree of decline in the l-value (i%).
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There is a more complex empirical formula, which is very complicated, and it is generally tested with an inductance tester.
The formula for calculating inductance is the coil formula.
Impedance (ohm) = 2 * f (operating frequency) * inductance (mh 1mh=1000uh), 360ohm impedance is required for setting, so:
Inductance (MH) = Impedance (ohm) 2* f (operating frequency) = 360 2* =
From this, the number of coils can be calculated:
Number of turns = [inductance * ] circle diameter (inches).
Number of laps = [ = 19 laps.
Formula for calculating hollow inductance.
The formula for calculating hollow inductance is: l(mh)=(
d--- coil diameter.
n --- number of coil turns.
d--- wire diameter.
h--- coil height.
w --- coil width.
The units are millimeters and mh, respectively.
Formula for calculating the inductance of the air core coil:
l=(coil inductance l unit: micro-hyen.
Coil diameter dunit: cm
Number of turns of the coil n unit: turns.
Coil length l unit: cm
Frequency inductor capacitance calculation formula:
L=Working Frequency: F0 Unit: MHz This question f0=125kHz=
Resonant capacitance: C unit: PF This question is proposed c=500....1000pf can be decided by the first decision, or by the q value.
Resonant inductance: l Unit: micro-hylen.
The formula for calculating the coil inductance.
1.For loop cores, the following formula is available: (iron).
l=n2 al l= inductance value (h).
h-dc= l n= number of coil turns (turns).
al= induction factor.
h-dc = DC magnetizing force i= passing current (a).
l= length of magnetic circuit (cm).
For the size of L and Al value, please refer to the MicroL comparison table.
For example, with T50-52 material, the coil has 5 and a half turns, and its L value is T50-52 (indicating that OD is inch), and its Al value is about 33NH after checking the table.
l=33.(
(When a current of 10A is flowed, its L value change can be changed by L=Lookup Table).
h-dc= l = = (after looking up the table).
You can see how much the L-value has dropped (i%)
2.Introducing an empirical formula.
l=(k*μ0*μs*n2*s)/l
where 0 is the vacuum permeability = 4 * 10 (-7). (minus seven power of 10).
s is the relative permeability of the core inside the coil, and s=1 in the case of an empty coil
n2 is the square of the number of coil turns.
The cross-sectional area of the S coil in square meters.
l The length of the coil in meters.
k factor, which depends on the ratio of the radius (r) to the length (l) of the coil.
The unit of calculated inductance is Henry.
k-value table 2r l k10
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Fang Na Sakura dress up method 1,
l=μ×ae*n2/ l
Wherein: l represents the inductance, represents the permeability of the core, sings ae represents the cross-sectional area of the core, n represents the number of turns of the coil, and lm represents the length of the magnetic circuit.
Method 2, Empirical Formula:
l=(k*μ0*μs*n2*s)/l
Thereinto. 0 is the vacuum permeability of the stove = 4 *10 (-7). (minus 7th power of 10) s is the relative permeability of the core inside the coil, and in the case of an empty coil s=1n2 is the square of the number of coils.
The cross-sectional area of the S coil in square meters.
l The length of the coil in meters.
k factor, which depends on the ratio of the radius (r) to the length (l) of the coil.
The unit of calculated inductance is Henry (h).
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The formula for calculating the inductance of an inductive device: l= ae*n2 l, where: l represents the inductance, represents the permeability of the core, ae represents the cross-sectional area of the core, n represents the number of turns of the coil, and lm represents the length of the magnetic circuit of the core.
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