A uniform magnetic field exists in space as \(\vec{B}=4\hat{i}~\text{T}.\) The magnetic flux through an area \(\vec{S}=(2\hat{i}+4\hat{j})~\text{m}^2\) is: 
1. \(6~\text{Wb}\)
2. \(2~\text{Wb}\)
3. \(8~\text{Wb}\)
4. \(4~\text{Wb}\)
Subtopic:  Magnetic Flux |
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The magnetic flux through a circular loop varies with time according to the given equation:
        \(\phi=(5 t^2-3 t+5) ,\)
where \(\phi\) is in webers and \(t\) is in seconds.
If the resistance of the loop is \( 8~\Omega,\) what is the current in the loop at \(t=2 ~\text s \text{?}\)

1. \( \dfrac{15}{8}~\text{A}\) 2. \( \dfrac{5}{8}~\text{A}\)
3. \( \dfrac{17}{8}~\text{A}\) 4. \(\dfrac{13}{8}~\text{A}\)
Subtopic:  Magnetic Flux |
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An iron rod is placed parallel to magnetic field of intensity \(2000\) A/m. The magnetic flux through the rod is \(6\times 10^{-4}\) Wb and area of cross-section is \(3\) cm2. The magnetic permeability of the rod in the SI unit is: 
1. \(10^{-1}\)
2. \(10^{-2}\)
3. \(10^{-3}\)
4. \(10\)
Subtopic:  Magnetic Flux |
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The primary and secondary coils of a transformer have \(50\) and \(1500\) turns respectively. If the magnetic flux \(\phi\) linked with the primary coil is given by; \(\phi=\phi_0+4t,\) where \(\phi\) is in Weber, \(t\) is time in seconds, and \(\phi_0\)  is a constant, the output voltage across the secondary coil is:
1. \(90~\text{V}\)
2. \(120~\text{V}\)
3. \(220~\text{V}\)
4. \(30~\text{V}\)
Subtopic:  Magnetic Flux |
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AIPMT - 2007
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In a coil of resistance \(100~\Omega\), a current is induced by changing the magnetic flux through it (as shown in the graph). The magnitude of the change in the flux through the coil is:

             
1. \(200~\text{Wb}\)
2. \(225~\text{Wb}\)
3. \(250~\text{Wb}\)
4. \(275~\text{Wb}\)

Subtopic:  Magnetic Flux |
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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.
Subtopic:  Faraday's Law & Lenz Law |
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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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