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Electromagnetic Induction · Question 31

AIPMT 2009MCQEasy📈 Topic in 12% papers+4−1
1

A rectangular, a square, a circular and an elliptical loop, all in the (x-y) plane, are moving out of a uniform magnetic field with a constant velocity V = v i. The magnetic field is directed along the negative z axis direction. The induced emf, during the passage of these loops, out of the field region, will not remain constant for

  1. the circular and the elliptical loops
  2. only the elliptical loop
  3. any of the four loops
  4. the rectangular, circular and elliptical loops

Answer

(1) the circular and the elliptical loops

Solution

Motional emf of a loop leaving the field: = B l v, where l is the length of the loop lying along the field boundary (perpendicular to V).

For the rectangular and square loops this length stays constant while they leave the field constant emf.

For the circular and elliptical loops the chord at the boundary changes continuously the rate of change of flux changes.

The emf does not remain constant for the circular and the elliptical loops.

Answer: (1)

AIPMT 2009

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2

A conducting circular loop is placed in a uniform magnetic field 0.04 T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at 2 mm/s. The induced emf in the loop when the radius is 2 cm is

  1. 4.8 V
  2. 0.8 V
  3. 1.6 V
  4. 3.2 V
AIPMT 2009
3

A long solenoid has 500 turns. When a current of 2 ampere is passed through it, the resulting magnetic flux linked with each turn of the solenoid is 4 10-3 Wb. The self-inductance of the solenoid is

  1. 1.0 henry
  2. 4.0 henry
  3. 2.5 henry
  4. 2.0 henry
AIPMT 2008
4

A circular disc of radius 0.2 meter is placed in a uniform magnetic field of induction 1 ( Wbm2 ) in such a way that its axis makes an angle of 60 with B. The magnetic flux linked with the disc is

  1. 0.08 Wb
  2. 0.01 Wb
  3. 0.02 Wb
  4. 0.06 Wb
AIPMT 2008
5

Two coils of self inductance 2 mH and 8 mH are placed so close together that the effective flux in one coil is completely linked with the other. The mutual inductance between these coils is

  1. 16 mH
  2. 10 mH
  3. 6 mH
  4. 4 mH
AIPMT 2006
6

As a result of change in the magnetic flux linked to the closed loop as shown in the figure, an e.m.f. V volt is induced in the loop. The work done (joule) in taking a charge Q coulomb once along the loop is [figure]

  1. QV
  2. 2QV
  3. QV/2
  4. zero
AIPMT 2005
7

A coil of 40 henry inductance is connected in series with a resistance of 8 ohm and the combination is joined to the terminals of a 2 volt battery. The time constant of the circuit is

  1. 5 seconds
  2. 1/5 seconds
  3. 40 seconds
  4. 20 seconds
AIPMT 2004
8

The magnetic flux through a circuit of resistance R changes by an amount in a time t. Then the total quantity of electric charge Q that passes any point in the circuit during the time t is represented by

  1. Q = 1R t
  2. Q = R
  3. Q = t
  4. Q = R t
AIPMT 2004
9

For a coil having L = 2 mH, current flow through it is I = t2e-t then, the time at which emf becomes zero

  1. 2 sec
  2. 1 sec
  3. 4 sec
  4. 3 sec
AIPMT 2001

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