Electromagnetic induction
Analogously to defining the flux ΦD of the vector of the electric induction D we
can define the flux ΦB of the vector of the magnetic induction B :
(33)
φ b = ∫∫ Bds
(s)
It is useful to know that the change in the magnetic flux generates inducted
voltage VΦ according to the Lenz’s law:
(34)
(35)
V =- dΦB
φ dt
— — ^-π d Φ B
φ E ∙ dl = -B
[ dt
Thus the Lenz’s law shows that there will be induced current if there is a static
cable inside changing magnetic field:
(36)
——
VΦ=-∫∫>d
∂t
(s) ∂t
or if the cable is moving inside a static magnetic field:
(37)
— —
Vφ = -F × B] ∙ l
The full magnetic flux ΦL of the self-inducted magnetic field B by contour with
current i is called self-inducted flux. The self-inducted flux is linear function of
the current:
(38)
26
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