Name: magnetic flux and induced current
Uploaded: 2026-04-30T12:07:31.000Z
Duration: 1 min 16 s
Channel: JoVE

K12 Standards

north-carolina-k-12-science-standard-course-of-study

NC K-12 Science Standard Course of Study

9-12

Physical Science

motion-and-stability-forces-and-interactions

Motion and Stability- Forces and Interactions

PS.PSc.6.5

Induction

Indukcja elektromagnetyczna powstaje, gdy materiał przewodzący prąd elektryczny jest wystawiony na działanie zmiennego w czasie pola magnetycznego.
Rozważmy na przykład magnes sztabkowy umieszczony w pobliżu cewki. Galwanometr podłączony do tej cewki pokazuje zerowy prąd przez nią przepływający.
Jeśli magnes sztabkowy porusza się w kierunku cewki, przez cewkę przepływa prąd. Ponadto, jeśli magnes sztabkowy zostanie odsunięty od cewki, prąd płynie w przeciwnym kierunku.
Podobnie, jeśli magnes sztabkowy jest utrzymywany na stałym miejscu, a cewka jest przesuwana w dowolnym kierunku, prąd przepływa przez cewkę.
Załóżmy, że magnes sztabkowy został zastąpiony drugą cewką podłączoną do akumulatora. Jeśli jedna z cewek zostanie przesunięta, przez drugą cewkę przepływa prąd. 
Jeśli przełącznik steruje prądem przepływającym przez jedną cewkę, to chwilowy impuls prądu jest indukowany w drugiej cewce podczas otwierania lub zamykania przełącznika.
Tutaj prąd płynący przez drugą cewkę nazywany jest prądem indukowanym, a odpowiadający mu emf nazywany jest indukowanym emf.

<ol>
	<li>Young, H.D i Freedman, R.A. (2012). Fizyka uniwersytecka z fizyką współczesną. San Francisco, Kalifornia: Pearson. Sekcja 29.1, strony 958-959.</li>
	<li>Protokół OpenStax. (2019). Fizyka uniwersytecka Vol. 2. [Wersja internetowa]. Sekcja 13.1, strony 582-585. Pobrane z <a href="https://openstax.org/books/university-physics-volume-2/pages/13-1-faradays-law">https://openstax.org/books/university-physics-volume-2/pages/13-1-faradays-law</a></li>
</ol>

wprowadzenie

Semf jest indukowany, gdy pole magnetyczne w cewce zmienia się w wyniku wpychania magnesu sztabkowego do cewki lub z niej. Siły elektromagnetyczne o przeciwnych znakach powstają w wyniku ruchu w przeciwnych kierunkach, a kierunki sił elektromotorycznych są również odwracane przez odwrócenie biegunów. Te same rezultaty uzyskuje się, jeśli porusza się cewką, a nie magnesem – ważny jest ruch względny. Im szybszy ruch, tym większy emf. Dodatkowo nie ma pola elektromagnetycznego, gdy magnes jest nieruchomy względem cewki.

Podobny efekt można uzyskać stosując dwa obwody, w których prąd w jednym obwodzie indukuje prąd w drugim, pobliskim obwodzie. Na przykład, jeśli obwód przewodzący prąd zostanie przesunięty w stronę drugiego obwodu stacjonarnego lub od niego, wówczas w drugim obwodzie indukuje się siła emf. Dodatkowo, jeśli prąd w pierwszym obwodzie jest sterowany za pomocą przełącznika, wówczas otwieranie i zamykanie przełącznika indukuje emf w drugim obwodzie.

We wszystkich powyższych scenariuszach indukowany emf indukuje prąd, zwany prądem indukowanym. Wspólnym czynnikiem wszystkich tych obserwacji jest zmiana strumienia magnetycznego. Tutaj strumień magnetyczny się zmienia, albo dlatego, że pole magnetyczne jest zależne od czasu, albo dlatego, że ruch obwodu zmienia przepływający przez niego strumień magnetyczny. Indukcja zachodzi ze względu na niestatyczny charakter działających sił. Należy zachować szczególną ostrożność podczas analizowania statycznych pól elektrycznych wytwarzanych przez rozkład ładunków i niestatycznych pól elektrycznych wytwarzanych przez zmienne w czasie pola magnetyczne.

Wprowadzenie

Emf jest indukowany, gdy pole magnetyczne w cewce jest zmieniane przez wpychanie lub wysuwanie magnesu sztabkowego z cewki. Pola elektromagnetyczne o przeciwnych znakach są wytwarzane przez ...

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Education

JoVE Core

Physics

Fizyka

Unit 1

Jednostka 1

Electromagnetic Induction

Indukcja elektromagnetyczna

KEY TERMS AND CONCEPTS

Kluczowe terminy i pojęcia

magnetic flux and induced current

Magnetic flux and induced current are linked when a magnetic field changes near a coil. Moving a bar magnet into or out of a coil induces an emf, which is an electromotive force. If the motion goes in the opposite direction, the emf has the opposite sign. Reversing the magnet poles also reverses the direction of the induced emf.

The same effect appears when the coil moves instead of the magnet. Relative motion is what matters. A faster motion produces a larger emf. If the magnet and coil stay still relative to each other, no emf is induced.

Induction can also happen between two nearby circuits. A current in one circuit can induce a current in the second circuit. If the current-carrying circuit moves closer to or farther from the other circuit, an emf is induced in the stationary circuit. Opening and closing a switch in the first circuit can also induce an emf in the second.

In each case, the key factor is changing magnetic flux. The flux changes because the magnetic field changes with time or because motion changes how much field passes through the circuit. The induced emf can then produce an induced current. Induction is tied to non-static forces, so static electric fields from charge distributions must be considered differently from electric fields caused by time-varying magnetic fields.

Magnetic Flux and Induced Current

induction

Magnetic flux and induced current are linked when a magnetic field changes near a coil. Moving a bar magnet into or out of a coil induces an emf, which is an electromotive force. If the motion goes in the opposite direction, the emf has the opposite sign. Reversing the magnet poles also reverses the direction of the induced emf. The same effect appears when the coil moves instead of the magnet. Relative motion is what matters. A faster motion produces a larger emf. If the magnet and coil stay...

ampere-maxwell's law: problem-solving

Displacement Current in an RC Circuit

Displacement current in an RC circuit can be found by tracking the charging capacitor. A parallel-plate capacitor with capacitance C, plate area A, and plate separation d is connected to a resistor R and a battery of voltage V. When the current starts to flow at t = 0, the charge and voltage on the capacitor change with time. The first step is to use the RC-circuit result for the capacitor voltage at time t. With the z-axis pointing from the positive plate to the negative plate, the electric...

differential form of maxwell's equations

Maxwell’s Equations at a Point

Maxwell’s equations at a point describe how electric and magnetic fields change in space and time. They connect field behavior to charge and current density at a single location. This point-by-point form is useful when studying electromagnetic fields in detail. James Clerk Maxwell was a major physicist of the nineteenth century. He combined earlier laws of electricity and magnetism into one electromagnetic theory. The basic experimental laws came from scientists such as Oersted, Coulomb,...

dc generator

How a DC Generator Makes Current

A DC generator makes electrical energy from mechanical motion. It produces DC pulses with the same polarity, unlike an alternator, which gives sinusoidal AC current. The two machines have similar construction, but a DC generator uses a single split ring instead of a pair of slip rings. That split ring is called a commutator. It works like a rotary switch that changes the contact with the brushes after each half turn of the conducting loop. This action keeps the induced emf at the same...

magnetic damping

Eddy Currents and Magnetic Braking

Eddy currents can create strong drag on moving objects. This drag is called magnetic damping. A metallic pendulum bob swinging between the poles of a strong magnet feels this force as it enters and leaves the field, so its motion dies out quickly. The effect is much smaller for a slotted metal plate. As the plate enters the magnetic field, a changing flux induces an emf, or electromotive force. The slots limit the size of the current loops, and nearby loops can carry currents in opposite...

superconductor

Superconductor Critical Temperature

Superconductivity is the state in which a material has no electrical resistance and magnetic fields cannot penetrate it. A material that reaches this state is called a superconductor. The key idea in the transcript is the critical temperature, which is the temperature at which the change happens. Heike Kamerlingh Onnes of Leiden University first observed this behavior in mercury in 1911. He cooled a mercury sample in liquid helium to study how resistance changed with temperature. As the...

types of superconductors

Superconductors and Magnetic Levitation

Superconductors are materials that can carry electric current with zero resistance when they are cooled below a critical temperature. At this point, they also show the Meissner effect, which means they push magnetic fields out of their interior. A light permanent magnet can then levitate in a stable position above the superconducting sample. This magnetic levitation has real uses. High-speed trains have been built with strong superconducting magnets so they can float above the track and avoid...

faraday's law

Magnetic Flux and Induced Emf

Faraday’s law connects magnetic flux changes to induced emf, or voltage. A change in the magnetic field or in the coil’s orientation with respect to the field can produce this voltage. Magnetic flux describes how many magnetic field lines pass through a given surface area.

lenz's law

Magnet Motion and Induced Current

Magnet motion and induced current are linked by Lenz’s law. The law says that the induced emf, or electromotive force, drives current around a wire loop in a direction that opposes the change in magnetic flux that caused it. A moving bar magnet can create this effect in a coil. If the magnet moves toward the coil, the magnetic flux increases and an induced current appears. That current produces a magnetic field that pushes against the stronger field from the magnet. The same idea works in...

motional emf

Induced Current from Changing Magnetic Flux

Induced current from changing magnetic flux depends on how a magnetic field interacts with an area. Magnetic flux changes when the field strength changes, when the area it passes through changes, or when the field turns relative to the surface. When any of these factors vary, the magnetic flux also varies. A change in area can happen in two common ways. The flux through a rectangular loop increases as the loop moves into a magnetic field. The magnetic flux through a rotating coil also changes...

faraday disk dynamo

Faraday Disk Dynamo and DC Output

A Faraday disk dynamo is a DC generator that produces an emf constant in time. It uses a conducting disk that spins at constant angular velocity in a magnetic field. The magnetic field is perpendicular to the plane of the disk. As the disk rotates, the magnetic flux changes and an emf is induced. This causes opposite charges to build up at the rim and at the center of the disk. The direction of the induced emf depends on the direction of the magnetic field and the direction of rotation. If...

induced electric fields

Faraday’s Law and Induced EMF

Faraday’s law explains how a changing magnetic flux can create an induced emf in a circuit. When current is induced, work is being done on the conduction electrons in the wire. That work must come from a source, and the source is not a battery or a magnetic field. A battery does not have to be present in a circuit for current to be induced. Magnetic fields also do not do work on moving charges. Instead, the change in magnetic flux produces an electric field in the wire. This is called an...

induced electric fields: applications

Electric Fields from Changing Magnetism

An electric field can be induced by a changing magnetic field. This induced electric field is nonconservative, which means it does not do net work when a charge moves around a closed path. That behavior is different from an electrostatic field, which comes from a fixed charge distribution. An electrostatic field is conservative, so it does no net work over a closed path. Because of this difference, electric potential can be linked to the electrostatic field, but not to the induced field. When...

eddy currents

Eddy Currents in Recycling, Brakes, and Heat

Eddy currents affect how metals move, stop, and heat up. They form only in conductors, so they are useful for separating metals from nonmetals and for other practical devices. In recycling centers, trash can be sent down a ramp under a strong magnet. Metals in the trash slow down because eddy currents resist their motion. Nonmetals keep moving, so the materials separate. This method works for metals in general, not only ferromagnetic ones. Eddy currents also help in metal detectors. A...

displacement current

Maxwell’s Fix for Changing Currents

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significance of displacement current

Maxwell’s Fix for Charging Capacitors

Maxwell’s fix for a charging capacitor is the displacement current in Ampère’s law. A displacement current is not a flow of charge like conduction current. It comes from a changing electric field. That is why it is defined using a time-varying electric field and has its own displacement current density. Maxwell added this term to the original Ampère’s law. The result is called generalized Ampère’s law. The added displacement current term lets the law work in regions where no charges are moving.

electromagnetic fields

Electric and Magnetic Fields in Motion

Electric and magnetic fields can come from different sources, but they can act in surprisingly similar ways. Static charges create electrostatic fields. These fields are conservative, which means a test charge does no net work after moving around a complete loop. Fields made by changing magnetic fields behave differently. They are not conservative, and they do net work on a charge. That work is proportional to how fast the magnetic flux changes. These fields also do not follow Gauss’s law for...

maxwell's equation of electromagnetism

Maxwell's Equations and Light Waves

Maxwell's equations bring electricity, magnetism, and light together in one electromagnetic theory. James Clerk Maxwell was a major nineteenth-century physicist, and his work helped shape modern physics. He also made important contributions to the kinetic theory of gases, color vision, and the study of Saturn's rings. Maxwell built on earlier experiments in electricity and magnetism from Oersted, Coulomb, Gauss, and Faraday. These physicists had discovered the basic laws separately. Maxwell...

symmetry in maxwell's equations

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Electric and magnetic field symmetry is a key part of Maxwell's equations. After the fields are calculated with Maxwell's four equations, the Lorentz force equation gives the force those fields exert on a charged particle moving at a certain velocity. The Lorentz force law combines the effect of the electric field and the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together describe electricity and magnetism. The symmetry in Maxwell's framework is easier...

electric generator: alternator

How Alternators Produce AC Power

Alternators produce alternating current by rotating a conducting loop in a magnetic field. As the loop turns inside the field, the magnetic flux through the coil changes with time. That changing flux induces an emf, or electric voltage, in the circuit. A simple alternator uses a loop placed in a uniform magnetic field. The loop connects to split rings, and brushes carry the current to the external circuit. As the loop rotates, the magnetic flux changes sinusoidally, so the induced emf also...

back emf

Motor Current and Speed Changes

Motor current and speed changes are linked by back emf in an electric motor. A motor sends current through a wire loop in a magnetic field. The magnetic field pushes on the loop and creates torque, which turns a shaft and does mechanical work. As the coil turns, the magnetic flux through it changes. That changing flux induces an emf, or voltage, by Faraday’s law. The motor then acts like a generator whenever its coil rotates, whether the shaft is turned by an external drive or by the motor...

key terms and concepts

Explore how changing magnetic flux induces emf and current in coils and nearby circuits. Learn how motion, pole direction, and switches affect induction.

Magnetic Flux and Induced Current | JoVE K12

physics

JoVE Core Physics introduces the theory and application of fundamental physics topics, including kinematics, dynamics, fluid mechanics, statics, waves, and acoustics, with concise and easy-to-understand animated videos. Additionally, the scientist-in-action videos demonstrate the application of related concepts in classical and original research experiments performed in today's laboratories worldwide.

PS.Phy.5.2

ohios-learning-standards-and-model-curriculum

Ohio’s Learning Standards and Model Curriculum

Electricity And Magnetism

Electromagnetic interactions

Tennessee Academic Standards

High School

Energy

PHYS.PS3.9

Virginia  Standards of Learning

HIgh School

PS.9

PS.9.a

PS.9.e

Minnesota Academic Standards in Science

1.2.1 9C.4.2.1.1

new-jersey-student-learning-standards-for-science

New Jersey Student Learning Standards for Science

Motion and Stability: Forces and Interactions

HS-PS2-5

Arizona Science Standards

HS+Phy.P2

HS+Phy.P2U1.1

Alabama Course of Study Science

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Waves and Their Applications in Technologies for Information Transfer

9-12.PS.2.3

9-12.PS.2.3.e

Texas Essential Knowledge and Skills

PHYS.6

PHYS.6.B

PHYS.6.C

Chemistry and Physics

IPC.6

IPC.6.B

new-york-state-science-learning-standards

New York State Science Learning Standards

HS. Forces and Interactions

HS-PS2-5.

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Instantaneous Velocity - I

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Instantaneous Velocity - II

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Average Acceleration

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Instantaneous Acceleration

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Position and Displacement Vectors

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average-and-instantaneous-velocity-vectors

Average and Instantaneous Velocity Vectors

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Acceleration Vectors

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Analyze and interpret data to explain the motion of an object moving with a constant velocity or that is accelerating.

PS.PSc.4.1

Electrical Current

Electrical current is defined as the rate at which charge flows. When there is a large current present, such as that used to run a refrigerator, a large ...

Drift Velocity

The high speed of electrical signals results from the fact that the force between charges acts rapidly at a distance. Thus, when a free charge is forced ...

Current Density

The total amount of current flowing through one unit value of a cross-sectional area is referred to as current density. If the current flow is uniform, ...

Resistivity

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Resistance

When a current moves through any conductor, the conductor causes some level of difficulty for the current to flow. The measure of that difficulty is known ...

Ohm's Law

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Non-ohmic Devices

In most substances, the current flow is proportional to the voltage applied to it. A simple relationship between the values of current, voltage, and ...

Construct an explanation to compare simple series and parallel circuits in terms of Ohm's Law.

PS.PSc.6.2

Continuity Equation

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Boundary Conditions for Current Density

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PS.PSc.6.3

Magnetism

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Magnetic Field Lines

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Magnetic Flux

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motion-of-a-charged-particle-in-a-magnetic-field

Motion Of A Charged Particle In A Magnetic Field

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Use models to explain magnetism in terms of domains, interactions of poles, and magnetic fields.

PS.PSc.6.4

Analyze motion in terms of speed, velocity, acceleration, and momentum.

Magnetic Flux and Induced Current

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