Magnetic field

Magnetic force between parallel conductors

$$F = \frac{\mu\cdot \mu0\cdot I1\cdot I2\cdot l}{2\cdot \pi\cdot r}$$

F - force
μ - relative magnetic permeability
μ0 - magnetic constant
I1, I2 - current intensities in conductors
l - length of conductors
r - distance between conductors

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Magnetic force between parallel conductors

$$F = \frac{2\cdot 10^{(-7)}\cdot \mu\cdot I1\cdot I2\cdot l}{r}$$

F - force
μ - relative magnetic permeability
I1, I2 - current intensities in conductors
l - length of conductors
r - distance between conductors

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Magnetic constant

$$\mu0 = 4\cdot \pi\cdot 10^{(-7)}$$

μ0 - magnetic constant

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Magnetic field intensity

$$H = \frac{I}{l}$$

H - magnetic field intensity
I - current intensity
l - length of magnetic line

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Magnetic field induction

$$B = \mu0\cdot \mu\cdot H$$

B - magnetic induction
μ0 - magnetic constant
μ - relative magnetic permeability
H - magnetic field intensity

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Maximum force moment of the magnetic field

$$M_{max} = BIS$$

M_max - maximum force moment
B - magnetic induction
I - current intensity
S - area of the loop

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Magnetic induction

$$M = ISB\cdot sin(a)$$

M - magnetic moment
I - current intensity
S - area of the loop
B - magnetic induction
α - angle

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Moment of a uniform magnetic field

$$p_{m} = I\cdot S$$

p_m - magnetic moment
I - current intensity
S - area of the loop

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Magnetic field (induction) due current in finite straight conductor (wire)

$$B = \frac{\mu\cdot \mu0\cdot I\cdot (cos(a_1)+cos(a_2))}{4\cdot \pi\cdot r}$$

B - magnetic induction
μ - relative magnetic permeability
μ0 - magnetic constant
I - current intensity
r - distance to conductor
a1, a2 - angles

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Magnetic field (induction) due current in infinite straight conductor (wire)

$$B = \frac{\mu\cdot \mu0\cdot I}{2\cdot \pi\cdot r}$$

B - magnetic induction
μ - relative magnetic permeability
μ0 - magnetic constant
I - current intensity
r - distance to conductor

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Magnetic field due to current in circular wire (turn)

$$B = \frac{\mu\cdot \mu0\cdot I}{2\cdot R}$$

B - magnetic induction
μ - relative magnetic permeability
μ0 - magnetic constant
I - current intensity
R - radius

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Magnetic field intensity (strength): infinite straight wire

$$H = \frac{I}{2\cdot \pi\cdot r}$$

H - magnetic field intensity (strength)
I - current intensity
r - distance to wire

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Magnetic field intensity (strength) at the center of circular wire (turn)

$$H = \frac{I}{2\cdot R}$$

H - magnetic field intensity (strength)
I - current intensity
R - radius

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Magnetic induction of solenoid

$$B = \frac{\mu\cdot \mu0\cdot N\cdot I}{l}$$

B - magnetic induction
μ - relative magnetic permeability
μ0 - magnetic constant
N - number of turns in a winding
I - current intensity
l - length of solenoid