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'The induced emf and current persist as ...

'The induced emf and current persist as long as the magnetic flux is changing. This is the statement for

A

Faraday's second law

B

Lenz's law

C

Faraday's first law

D

Laplace's law

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To solve the question regarding the statement about induced emf and current, we can break it down step by step: ### Step-by-Step Solution: 1. **Understanding Induced EMF and Current**: The statement mentions that "the induced emf and current persist as long as the magnetic flux is changing." This refers to the phenomenon of electromagnetic induction, where a change in magnetic flux through a circuit induces an electromotive force (emf) and consequently a current. 2. **Faraday's Law of Electromagnetic Induction**: This principle is encapsulated in Faraday's Law, which states that the induced emf in a closed loop is directly proportional to the rate of change of magnetic flux through the loop. Mathematically, it is expressed as: \[ E = -\frac{d\Phi}{dt} \] where \(E\) is the induced emf, \(\Phi\) is the magnetic flux, and \(t\) is time. 3. **Direction of Induced Current**: The negative sign in Faraday's Law indicates that the direction of the induced emf (and hence the current) opposes the change in magnetic flux that produced it. This is known as Lenz's Law. 4. **Conservation of Energy**: The principle underlying this phenomenon is the conservation of energy, which states that energy cannot be created or destroyed. The induced current creates a magnetic field that opposes the change in the original magnetic field, thus conserving energy in the system. 5. **Conclusion**: Therefore, the statement "The induced emf and current persist as long as the magnetic flux is changing" is a direct reference to Faraday's Law of Electromagnetic Induction and Lenz's Law. ### Final Answer: The statement refers to **Faraday's Law of Electromagnetic Induction**.

To solve the question regarding the statement about induced emf and current, we can break it down step by step: ### Step-by-Step Solution: 1. **Understanding Induced EMF and Current**: The statement mentions that "the induced emf and current persist as long as the magnetic flux is changing." This refers to the phenomenon of electromagnetic induction, where a change in magnetic flux through a circuit induces an electromotive force (emf) and consequently a current. 2. **Faraday's Law of Electromagnetic Induction**: This principle is encapsulated in Faraday's Law, which states that the induced emf in a closed loop is directly proportional to the rate of change of magnetic flux through the loop. Mathematically, it is expressed as: \[ ...
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CENGAGE PHYSICS-ELECTROMAGNETIC INDUCTION -MANDATORY EXERCISE (EXERCISE SET III)
  1. The bar magnet is placed along the axis of the solenoid as shown in fi...

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  2. The direction of the induced current is given by

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  3. Following are the applications of electromagnetic induction:

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  4. The strength of the induced current depends on

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  5. 'The induced emf and current persist as long as the magnetic flux is c...

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  6. Case 1: Number of field lines through an area decreases from 100 to 99...

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  7. The current due to time varying magnetic flux linked within a closed c...

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  8. Current varies with time as shown in the graph This current is

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  9. Current varies with time as shown in the graph The current is

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  10. Current varies with time as shown in the graph The current is

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  11. Current varies with time as shown in the graph Current is

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  12. The number of turns in the primary circuit is 1000 and the number of t...

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  13. We want to construct a transformer that decreases the voltage 4 times....

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  14. A transformer is used to light a 60 W and 110 V lamp from 220 V mains....

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  15. A 110 V input is supplied to a transformer. The output circuit has a c...

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  16. The current in the primary circuit and secondary circuit of a transfor...

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  17. A loop and an infinite wire are placed side by side as shown in the fi...

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