The flux linked with a coil at any instant \(t\) is given by \(\phi=ct^{2}-20t+3\). If the induced emf at \(t=2~\text{s}\) is zero, then value of \(c\) is:
1. \(2\)
2. \(3\)
3. \(5\)
4. \(10\)
Subtopic:  Faraday's Law & Lenz Law |
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Magnetic flux (in weber) in a closed circuit of resistance \(20 ~\Omega\) varies with time \(t(\text{s})\) as \(\phi=8{t}^{2}-9 {t}+5\). The magnitude of the induced current at \(t = 0.25~\text{s}\) will be:
1. \(150\) mA
2. \(300\) mA
3. \(250\) mA
4. \(100\) mA
Subtopic:  Faraday's Law & Lenz Law |
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Which of the following statements is true according to Lenz's law of electromagnetic induction?

1. The induced EMF is such that it supports the change in magnetic flux.
2. The induced current flows in a direction that opposes the change that caused it.
3. When the magnetic flux through a coil changes rapidly, the magnitude of the induced EMF is smaller.
4. The induced charge passing through a circuit depends on the time over which the change in flux occurs.
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A small bar magnet is moved through a coil at constant speed from one end to the other. Which of the following series of observations will be seen on the galvanometer \(G\) attached across the coil ?

  

Three positions shown describe : (a) the magnet's entry (b) magnet is completely inside and (c) magnet's exit.

1.  
2.  
3.  
4.  

Subtopic:  Faraday's Law & Lenz Law |
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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R):
 
Assertion (A): Lenz's law is in accordance with the conservation of energy.
Reason (R): The amount of mechanical energy lost against the induced emf or current is equal to the electrical energy reappearing in the circuit.


In the light of the above statements choose the correct answer from the options given below:
 

1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. Both (A) and (R) are false.
Subtopic:  Faraday's Law & Lenz Law |
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The magnetic flux linked to a circular coil of radius \(R\) is given by:
\(\phi=2t^3+4t^2+2t+5\) Wb.
What is the magnitude of the induced EMF in the coil at \(t=5\) s?

1. \(108\) V 2. \(197\) V
3. \(150\) V 4. \(192\) V
Subtopic:  Faraday's Law & Lenz Law |
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NEET - 2022
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The magnetic flux through a circuit of resistance \(R\) changes by an amount \(\Delta \phi\) in a time \(\Delta t\). Then the total quantity of electric charge \(Q\) that passes any point in the circuit during the time \(\Delta t\) is represented by:
1. \(Q= \frac{\Delta \phi}{R}\)
2. \(Q= \frac{\Delta \phi}{\Delta t}\)
3. \(Q=R\cdot \frac{\Delta \phi}{\Delta t}\)
4. \(Q=\frac{1}{R}\cdot \frac{\Delta \phi}{\Delta t}\)

Subtopic:  Faraday's Law & Lenz Law |
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AIPMT - 2004
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Consider the given figure. What would you do to obtain a large deflection of the galvanometer?

1. Use a rod made of soft iron inside the coil \(C_2\)
2. Connect the coil to a powerful battery
3. Move the arrangement rapidly towards the test coil \(C_1\)
4. All of the above

Subtopic:  Faraday's Law & Lenz Law |
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On increasing the clockwise current in one of the coaxial loops, the current induced in the other loop will be:
           
1. clockwise
2. anticlockwise 
3. no current will be induced
4. dependent on the distance between the loops
Subtopic:  Faraday's Law & Lenz Law |
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An ac generation:
1. involves rotation of a coil in a magnetic field parallel to the axis of rotation of the coil.
2. involves rotation of a coil in a magnetic field perpendicular to the axis of rotation of the coil.
3. works in the principle of eddy currents.
4. involves just rotation of the coil and there is no need for an external electric or magnetic field.
Subtopic:  Faraday's Law & Lenz Law |
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