Induced electromotive force

Electromotive force generated in electromagnetic induction phenomenon
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This entry is made by China Science and Technology Information Magazine Participate in editing and review Science Popularization China · Science Encyclopedia authentication.
stay electromagnetic induction Phenomenon caused by the change of magnetic flux of conductor cutting magnetic induction line or closing coil emf It is called induced electromotive force.
Chinese name
Induced electromotive force
Foreign name
Induced electromotive force
Common symbols
E
determinant
go through Closed circuit Magnetic flux The speed of change
Unit
Volts
Discipline
electromagnetics

concept

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stay electromagnetic induction Phenomenon, since there is induced current , then there must be electromotive force in this circuit Electromagnetic induction phenomenon Generated in emf It is called induced electromotive force. The part of conductor that generates the induced electromotive force is the power supply. [1]

history

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From 1825 to 1826, Georg Ohm did a lot about Circuit Experiment. In 1827, he published Mathematical Research on DC Circuit( Die galvanische Kette, mathematisch bearbeitet )These experiments and the results obtained from them, including the famous“ Ohm's law ”。 Ohm noticed that the power required by the circuit is supplied by the battery, and the battery should be closely related to various physical phenomena in the circuit. He reasoned that the battery had a "driving force" that could drive current through the circuit. He will Voltaic battery When connected in series, it is found that the current is proportional to the number of voltaic batteries. Therefore, he proposed that the driving force is proportional to the current. The driving force is the electromotive force. In a simple resistance circuit, the electromotive force is equal to electric current multiply resistance
In 1831, Michael Faraday He did a series of experiments on electromagnetic induction. From these experiments, he found the following points:
  1. one
    When the current of the current carrying wire is changed, the nearby closed circuit will be induced with current.
  2. two
    When moving magnet The nearby closed circuit will be induced with current.
  3. three
    When the closed circuit is moved near the current carrying wire or magnet, the closed circuit will be induced with current.
In 1832, Faraday found that the induced current produced by different wires conductivity Is proportional. Since the conductivity is inversely proportional to the resistance, it shows that the induction involves the electromotive force, and the induced current is formed by the electromotive force driving the charge of the wire to move; Moreover, whether the wire is an open circuit or a closed circuit, it will induce EMF.

explain

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(1) No matter whether the circuit is closed or not, as long as the magnetic flux passing through the circuit changes, the induced electromotive force will be generated in the circuit Electromagnetic induction phenomenon The essence of.
(2) Whether the magnetic flux changes is the fundamental reason for electromagnetic induction. If the magnetic flux changes, an induced electromotive force will be generated in the circuit. If the circuit is closed again, an induced current will be generated in the circuit.
(3) The generation of induced current is just a phenomenon, which indicates that electric energy is being transmitted in the circuit; The induced electromotive force is Electromagnetic induction phenomenon It means that the circuit has the ability to output electric energy at any time.
(4) When the change of magnetic flux △ φ is the same, the greater the time △ t is, that is, the slower the change of magnetic flux is, the smaller the induced electromotive force E is; On the contrary, the smaller △ t, that is, the faster the magnetic flux changes, the greater the induced electromotive force E.
(5) When the change time △ t is the same, the larger the change amount △ φ, the faster the change of magnetic flux, the larger the induced electromotive force E; On the contrary, the smaller the change △ φ, the slower the change of magnetic flux, and the smaller the induced electromotive force E. [2]

classification

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The induced electromotive force is divided into Induced electromotive force and Motional electromotive force
Class I: motional electromotive force:
Constant magnetic field, conductor or circuit movement →
move
Class II: induced electromotive force:
Magnetic field changes with time, conductor or circuit is static →
sense

formula

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The magnitude of the induced electromotive force is the same as that of the Magnetic flux The speed of change has something to do with it,
Generative kinesis emf The part of Cutting magnetic line of force Athletic conductor It is equivalent to power supply.
Theory and practice show that when the length of conductor is L Uniform magnetic field When the cutting magnetic induction line moves in, the induced electromotive force generated in the conductor when B, L and v are perpendicular to each other is:
, where the units shall be International System of Units , i.e. volts Tesla , meters, meters per second.
Electromotive force generated in electromagnetic induction phenomenon. It is usually indicated by the symbol E. When the magnetic flux passing through an open coil changes, although there is no induced current in the coil, the induced electromotive force still exists. When a section of conductor is in uniform strength magnetic field Medium constant speed Cutting magnetic induction line movement No matter whether the circuit is closed or not, the magnitude of the induced electromotive force is only Magnetic induction B、 conductor Length L, cutting speed v and angle θ between v and B sine It is proportional, that is, E=BLvsin θ (θ is the angle obtained by transforming two perpendiculars between B, L and v).
In the conductor bar Cutting magnetic induction line When the magnetic flux changes in the closed circuit, the induced current can also be generated.
When the circuit is not closed, but the conductor bar cuts the magnetic induction line, although no induced current is generated, there is electromotive force. Because conductor bar Cutting magnetic induction line movement When a large number of free electrons inside have speed, they will be subject to Lorentz force and move towards one end of the conductor bar until enough charges are accumulated at both ends. The electric field force can balance the magnetic field force, and then the electric potential difference will be generated at both ends.
application Lenz's law The current direction can be judged. [3]

Electromagnetic induction phenomenon

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definition

electromagnetic induction (Electromagnetic induction), also known as magnetoelectric induction, refers to Closed circuit Part of conductor stay magnetic field Intermediate work Cutting magnetic induction line When moving, the conductor will produce current. This phenomenon of using magnetic field to generate current is called Electromagnetic induction phenomenon The generated current is called induced current

Conditions

1. Close the circuit
2. The magnetic flux passing through the closed circuit changes (if a condition is missing, there will be no induced current)

Relevant rules

(1) Right-handed rule
The right-hand rule simply shows how a current carrying wire generates a magnetic field. Extend the right hand so that the thumb is perpendicular to the other four fingers and in the same plane with the palm of the hand. Put the right hand into the magnetic field so that the magnetic induction line passes through the palm of the hand vertically (that is, the palm is facing the direction of the N pole of the magnetic field), and the thumb points to the direction of the conductor movement. Then the direction of the other four fingers is induced current Direction of.
(2) Left-handed rule
The left-handed rule reflects the stress of charged particles (current carrying wires) in the magnetic field. Extend the left hand so that the thumb is perpendicular to the other four fingers and is in the same plane with the palm of the hand. Put the left hand into the magnetic field so that the magnetic induction line vertically passes through the palm of the hand, and the four fingers point to the direction of the movement of charged particles (the current refers to), then the direction of the thumb is the direction of the force on the conductor.