A long solenoid has \(1000\) turns. When a current of \(4~\text{A}\) flows through it, the magnetic flux linked with each turn of the solenoid is \(4\times 10^{-3}~\text{Wb}\). The self-inductance of the solenoid is:
1. \(3~\text{H}\)
2. \(2~\text{H}\)
3. \(1~\text{H}\)
4. \(4~\text{H}\)

Subtopic:  Self - Inductance |
 88%
From NCERT
NEET - 2016
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An electron moves on a straight-line path \(XY\) as shown. The \(\mathrm{abcd}\) is a coil adjacent to the path of electrons. What will be the direction of current if any, induced in the coil? 
  

1. \(\mathrm{abcd}\)
2. \(\mathrm{adcb}\)
3. The current will reverse its direction as the electron goes past the coil
4. No current included

Subtopic:  Faraday's Law & Lenz Law |
 75%
From NCERT
NEET - 2015
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A coil of resistance \(400~\Omega\) is placed in a magnetic field. The magnetic flux \(\phi~\text{(Wb)}\) linked with the coil varies with time \(t~\text{(s)}\) as \(\phi=50t^{2}+4.\) The current in the coil at \(t=2~\text{s}\) is:
1. \(0.5~\text{A}\)
2. \(0.1~\text{A}\)
3. \(2~\text{A}\)
4. \(1~\text{A}\)

Subtopic:  Faraday's Law & Lenz Law |
 88%
From NCERT
AIPMT - 2012
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Assertion: The magnetic flux linked with a coil is ϕ, and the emf induced in it is ε. If ϕ=0, ε must be zero.

Reason : ε=-dt        ε=0  when ϕ=0

(a) Assertion and Reason both are correct and the Reason is the correct explanation of the Assertion.

(b) Assertion and Reason both are correct but the Reason is not the correct explanation of the Assertion.

(c) The assertion is correct but the Reason is wrong.

(d) Assertion and Reason both are wrong.

Subtopic:  Faraday's Law & Lenz Law |
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A coil of the area 7 cm2 and of 50 turns is kept with its plane normal to a magnetic field B. A resistance of 30 ohms is connected to the resistance-less coil. B is 75e-200t Gauss. The current passing through the resistance at t = 5 ms will be-

1.  0.64 mA                     

2.  1.05 mA 

3.  1.75 mA                     

4.  2.60 mA

Subtopic:  Faraday's Law & Lenz Law |
From NCERT
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A long solenoid having 1000 turns per cm is carrying alternating current of one ampere peak value. A search coil of area of cross-section 1×10-4 m2 and of 20 turns is placed in the middle of the solenoid so that its plane is perpendicular to the axis of the solenoid. The search coil registers a peak voltage 2.5×10-2 V. The frequency of the current in the solenoid is -

1.  1.6 per second                   

2.  0.16 per second

3.  15.9 per second                 

4.  15.85 per second

Subtopic:  Faraday's Law & Lenz Law |
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A copper rod of length 0.19 m is moving parallel to a long wire with a uniform velocity of 10 m/s. The long wire carries 5 ampere current and is perpendicular to the rod. The ends of the rod are at distances 0.01 m and 0.2 m from the wire. The emf induced in the rod will be-

1.  10 μV                           

2.  20 μV

3.  30 μV                           

4.  40 μV

Subtopic:  Motional emf |
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An emf of 15 volt is applied in a circuit containing 5 henry inductance and 10 ohm resistance. The ratio of the currents at time t =  and at t = 1 second is?

1.  e1/2e1/2-1                               

2.  e2e2-1

3.  1-e-1                           

4.  e-1

Subtopic:  LR circuit |
 66%
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The magnetic flux through each turn of a 100 turn coil is t3  2t × 10-3 Wb, where t is in second. The induced emf at t = 2 s is

1. -4 V                       

2. -1 V

3. +1 V                       

4. +4 V

Subtopic:  Faraday's Law & Lenz Law |
 74%
From NCERT
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The inductance of a closed-packed coil of 400 turns is 8 mH. A current of 5 mA is passed through it. The magnetic flux through each turn of the coil is approximately-

1.  0.1 μ0 Wb                     

2.  0.2 μ0 Wb

3.  1.0 μ0 Wb                     

4.  2.0 μ0 Wb

Subtopic:  Self - Inductance |
 67%
From NCERT
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