The magnetic flux linked with a coil varies with time as \(\phi = 2t^2-6t+5,\) where \(\phi \) is in Weber and \(t\) is in seconds. The induced current is zero at:

1. \(t=0\) 2. \(t= 1.5~\text{s}\)
3. \(t=3~\text{s}\) 4. \(t=5~\text{s}\)
Subtopic:  Faraday's Law & Lenz Law |
 90%
Level 1: 80%+
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A coil having number of turns \(N\) and cross-sectional area \(A\) is rotated in a uniform magnetic field \(B\) with an angular velocity \(\omega\). The maximum value of the emf induced in it is:
1. \(\frac{NBA}{\omega}\)
2. \(NBAω\)
3. \(\frac{NBA}{\omega^{2}}\)
4. \(NBAω^{2}\)

Subtopic:  Faraday's Law & Lenz Law |
 90%
Level 1: 80%+
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The current in a coil varies with time \(t\) as \(I= 3 t^{2} +2t\). If the inductance of coil be \(10\) mH, the value of induced emf at \(t=2~\text{s}\) will be:
1. \(0.14~\text{V}\)
2. \(0.12~\text{V}\)
3. \(0.11~\text{V}\)
4. \(0.13~\text{V}\)

Subtopic:  Faraday's Law & Lenz Law |
 88%
Level 1: 80%+
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A bar magnet is released along the vertical axis of the conducting coil. The acceleration of the bar magnet is:

         

1. greater than \(g\). 2. less than \(g\).
3. equal to \(g\). 4. zero.
Subtopic:  Faraday's Law & Lenz Law |
 86%
Level 1: 80%+
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A coil having an area \(A_0\) is placed in a magnetic field which changes from \(B_0~\text{to}~4B_0\) in time interval \(t\). The average EMF induced in the coil will be:
1. \(\frac{3 A_{0} B_{0}}{t}\)
2. \(\frac{4 A_{0} B_{0}}{t}\)
3. \(\frac{3 B_{0}}{A_{0} t}\)
4. \(\frac{4 B_{0}}{A_{0} t}\)
Subtopic:  Faraday's Law & Lenz Law |
 90%
Level 1: 80%+
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A wire loop is rotated in a magnetic field. The frequency of change of direction of the induced e.m.f. is:

1. Twice per revolution 2. Four times per revolution
3. Six times per revolution 4. Once per revolution
Subtopic:  Faraday's Law & Lenz Law |
 72%
Level 2: 60%+
AIPMT - 2013
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An aluminium ring \(B\) faces an electromagnet \(A\). If the current \(I\) through \(A\) can be altered, then:

      

1. whether \(I\) increases or decreases, \(B\) will not experience any force.
2. if \(I\) decreases, \(A\) will repel \(B\).
3. if \(I\) increases, \(A\) will attract \(B\).
4. if \(I\) increases, \(A\) will repel \(B\).
Subtopic:  Faraday's Law & Lenz Law |
 71%
Level 2: 60%+
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The adjoining figure shows two different arrangements in which two square wireframes are placed in a uniform magnetic field \(B\) decreasing with time.
         
The direction of the induced current \(I\) in the figure is:
1.  From \(a\) to \(b\) and from \(c\) to \(d\)
2. From \(a\) to \(b\) and from \(f\) to \(e\)
3.  From \(b\) to \(a\) and from \(d\) to \(c\)
4. From \(b\) to \(a\) and from \(e\) to \(f\)
Subtopic:  Faraday's Law & Lenz Law |
 68%
Level 2: 60%+
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Some magnetic flux is changed from a coil of resistance \(10~\Omega\). As a result, an induced current is developed in it, which varies with time as shown in the figure. The magnitude of change in flux through the coil in Wb is:

 

1. \(2\) 2. \(4\)
3. \(6\) 4. None of these
Subtopic:  Faraday's Law & Lenz Law |
 67%
Level 2: 60%+
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A metallic ring is attached to the wall of a room. When the north pole of a magnet is brought near to it, the induced current in the ring will be:

               

1.  first clockwise and then anticlockwise.
2.  in the clockwise direction.
3.  in the anticlockwise direction.
4.  first anticlockwise and then clockwise.

Subtopic:  Faraday's Law & Lenz Law |
 64%
Level 2: 60%+
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