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According to Lenz's Law, the direction of the induced current in a circuit is such that it ___________.
Aids the change in magnetic flux
Opposes the change in magnetic flux
Remains constant regardless of flux
Is independent of the magnetic field
Opposes the change in magnetic flux
Lenz's Law states that the direction of an induced electromotive force (EMF) and current in a closed loop is such that it creates a magnetic field which opposes the change in magnetic flux that produced it. This principle is a direct consequence of the Law of Conservation of Energy, ensuring that work must be done to induce a current.
Lenz's Law states that the direction of an induced electromotive force (EMF) and current in a closed loop is such that it creates a magnetic field which opposes the change in magnetic flux that produced it. This principle is a direct consequence of the Law of Conservation of Energy, ensuring that work must be done to induce a current.
╬╡=тИТdtd╬жBтАЛтАЛ тАФ where ╬╡ is the induced EMF, ╬жBтАЛ is magnetic flux, and the negative sign represents Lenz's Law.
When the magnetic flux through a coil changes, an EMF is induced according to Faraday's Law. The induced current flows in a direction to create its own magnetic field, ╬жiтАЛ, which acts to counteract the variation in the external magnetic flux ╬жextтАЛ. If the flux increases, the induced field opposes it; if it decreases, the induced field tries to maintain it.
Lenz's law is fundamentally based on the principle of conservation of energy.
If the induced current aided the change in flux, it would lead to a perpetual motion machine, violating the first law of thermodynamics.
The negative sign in Faraday's law of induction is the mathematical representation of Lenz's Law.
Ensures stability in electromagnetic systems.
Prevents runaway energy production in inductive circuits.
Opposing force creates back-EMF, which limits current flow in motors and generators.
Eddy current braking systems.
Induction cooktops.
Electric guitar pickups.
AC generators and transformers.
Option A is incorrect because aiding the change would imply positive feedback, violating the conservation of energy.
Options C and D are incorrect as the induced current is strictly dependent on the rate of change of the magnetic field.
Lenz's Law applies to both self-induction and mutual induction scenarios.
B is correct тАФ Lenz's Law mandates that the direction of the induced current opposes the change in magnetic flux that caused it.
Always remember the negative sign in Faraday's Law is the mathematical symbol for Lenz's Law; it indicates opposition to the cause of induction.