Electromagnetic induction

Inductive electromotive force
$$E = \frac{\Phi}{t}$$
Ε - electromotive force
Φ - magnetic flow (flux)
t - time
Find   It is known that:
      =   
Calculate 'Ε'

Inductive electromotive force
$$E = \frac{\Phi\cdot N}{t}$$
Ε - electromotive force
Φ - magnetic flow (flux)
N - number of turns in a winding
t - time
Find   It is known that:
      =   
Calculate 'Ε'

Inductive electromotive force in a conductor moving through a magnetic field
$$E = v\cdot B\cdot l\cdot sin(a)$$
Ε - electromotive force
v - speed (velocity)
B - magnetic induction
l - conductor length
α - angle
Find   It is known that:
      =   
Calculate 'Ε'

Magnetic flow (flux) and inductance
$$\Phi = L\cdot I$$
Φ - magnetic flow (flux)
L - inductance
I - current intensity
Find   It is known that:
      =   
Calculate 'Φ'

Self-inductance electromotive force
$$E = \frac{L\cdot I}{t}$$
Ε - electromotive force
L - inductance
I - current intensity
t - time
Find   It is known that:
      =   
Calculate 'Ε'

Inductance of solenoid
$$L = \frac{\mu\cdot \mu0\cdot S\cdot N^{2}}{l}$$
L - inductance
μ - relative magnetic permeability
μ0 - magnetic constant
S - cross-sectional area
N - number of turns in a winding
l - length of solenoid
Find   It is known that:
      =   
Calculate 'L'

Inductance of solenoid
$$L = \mu\cdot \mu0\cdot n^{2}\cdot S\cdot l$$
L - inductance
μ - relative magnetic permeability
μ0 - magnetic constant
n - number of turns in a winding per length unit
S - cross-sectional area
l - length of solenoid
Find   It is known that:
      =   
Calculate 'L'

Inductance of solenoid
$$L = \mu\cdot \mu0\cdot n^{2}\cdot V$$
L - inductance
μ - relative magnetic permeability
μ0 - magnetic constant
n - number of turns in a winding per length unit
V - bulk (volume)
Find   It is known that:
      =   
Calculate 'L'

Solenoid magnetic field energy
$$W = \frac{L\cdot I^{2}}{2}$$
W - magnetic field energy
L - inductance
I - current intensity
Find   It is known that:
      =   
Calculate 'W'

Solenoid magnetic field energy
$$W = \frac{\mu\cdot \mu0\cdot S\cdot N^{2}\cdot l^{2}}{2\cdot l}$$
W - magnetic field energy
μ - relative magnetic permeability
μ0 - magnetic constant
S - cross-sectional area
N - number of turns in a winding
l - length of solenoid
I - current intensity
Find   It is known that:
      =   
Calculate 'W'

Solenoid magnetic field energy
$$W = \frac{\mu\cdot \mu0\cdot n^{2}\cdot l^{2}\cdot V}{2}$$
W - magnetic field energy
μ - relative magnetic permeability
μ0 - magnetic constant
n - number of turns in a winding per length unit
I - current intensity
V - bulk (volume)
Find   It is known that:
      =   
Calculate 'W'

Solenoid magnetic field energy
$$W = \frac{\mu\cdot \mu0\cdot H^{2}\cdot S\cdot l}{2}$$
W - magnetic field energy
μ - relative magnetic permeability
μ0 - magnetic constant
H - magnetic field intensity (strength)
S - cross-sectional area
l - length of solenoid
Find   It is known that:
      =   
Calculate 'W'

Solenoid magnetic field energy
$$W = \frac{\mu\cdot \mu0\cdot H^{2}\cdot V}{2}$$
W - magnetic field energy
μ - relative magnetic permeability
μ0 - magnetic constant
H - magnetic field intensity (strength)
V - bulk (volume)
Find   It is known that:
      =   
Calculate 'W'

Solenoid magnetic field energy
$$W = \frac{B^{2}\cdot V}{2\cdot \mu\cdot \mu0}$$
W - magnetic field energy
B - magnetic induction
V - bulk (volume)
μ - relative magnetic permeability
μ0 - magnetic constant
Find   It is known that:
      =   
Calculate 'W'

Solenoid magnetic field energy
$$W = \frac{B\cdot H\cdot V}{2}$$
W - magnetic field energy
B - magnetic induction
H - magnetic field intensity (strength)
V - bulk (volume)
Find   It is known that:
      =   
Calculate 'W'

Electromagnetic energy bulk (volume) density
$$W = \frac{\varepsilon0\cdot \varepsilon\cdot E^{2}}{2}+\frac{B^{2}}{2\cdot \mu\cdot \mu0}$$
W - electromagnetic energy bulk (volume) density
ε0 - permittivity constant
ε - dielectric constant (permittivity)
E - electric field
B - magnetic induction
μ - relative magnetic permeability
μ0 - magnetic constant
Find   It is known that:
      =   
Calculate 'W'

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