
According to the Lenz’s Law:
A. The direction of the induced emf will be such that it helps the change in magnetic flux
B. The direction of the induced current will be such that it opposes the change in magnetic flux
C. The magnitude of the induced emf is directly proportional to the rate of change of flux
D. The direction of the induced emf will be along the direction of the magnetic field
Answer
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Hint: We know that Lenz’s Law is related to electromagnetic induction. Electromagnetic induction can be generated by the movement of a conductor in an electric field which induces a voltage with the help of a closed circuit. The number of magnetic lines passing through a closed surface is known as magnetic flux.
Complete step-by-step answer:
The statement of Lenz’s law is “ the direction of an induced electromagnetic field is such that it will always oppose the charge that is causing it.” This law is derived from the Faraday’s Law of induction. This law can be represented by the following equation,
$V = - \dfrac{{dN\Phi }}{{dt}}$
Here $V$ is electromagnetic induction, $N$ is the number of turns in the coil and $\Phi $ is magnetic flux. The negative sign in the equation shows that the direction of change in magnetic field and the direction of induced emf is opposite. The current in the coil flows in such a manner that it tries to push the magnetic field away. If we try to increase the flux through a loop, the induced field will oppose that increase. Thus we got to know that option B is the correct explanation of Lenz’s Law that is the direction of the induced current will be such that it opposes the change in magnetic flux.
So, the correct answer is “Option B”.
Note: Lenz’s law is very useful in the determination of the direction of induced current. So here we have found the correct option with the help of the statement of Lenz’s law as it states that the direction of an induced emf is such that it will always oppose the charge that is causing it.
Complete step-by-step answer:
The statement of Lenz’s law is “ the direction of an induced electromagnetic field is such that it will always oppose the charge that is causing it.” This law is derived from the Faraday’s Law of induction. This law can be represented by the following equation,
$V = - \dfrac{{dN\Phi }}{{dt}}$
Here $V$ is electromagnetic induction, $N$ is the number of turns in the coil and $\Phi $ is magnetic flux. The negative sign in the equation shows that the direction of change in magnetic field and the direction of induced emf is opposite. The current in the coil flows in such a manner that it tries to push the magnetic field away. If we try to increase the flux through a loop, the induced field will oppose that increase. Thus we got to know that option B is the correct explanation of Lenz’s Law that is the direction of the induced current will be such that it opposes the change in magnetic flux.
So, the correct answer is “Option B”.
Note: Lenz’s law is very useful in the determination of the direction of induced current. So here we have found the correct option with the help of the statement of Lenz’s law as it states that the direction of an induced emf is such that it will always oppose the charge that is causing it.
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