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Electromagnetic Induction · Question 23

AIPMT 2014MCQMedium📈 Topic in 12% papers+4−1
1

A thin semicircular conducting ring (PQR) of radius r is falling with its plane vertical in a horizontal magnetic field B, as shown in the figure. [figure] The potential difference developed across the ring when its speed is v, is

  1. zero
  2. Bv r22 and P is at higher potential
  3. rBv and R is at higher potential
  4. 2rBv and R is at higher potential

Answer

(4) 2rBv and R is at higher potential

Solution

The emf induced in a curved conductor moving in a uniform field equals that in the straight line joining its ends.

Effective length = PR = 2r (perpendicular to both v and B)

= B (2r) v = 2rBv

Direction: force on a positive charge F = q( v B); with v downward and B into the page, v B points towards R.

Positive charges collect at R, so R is at higher potential.

Answer: (4)

AIPMT 2014

Keep practising — Electromagnetic Induction

2

A wire loop is rotated in a magnetic field. The frequency of change of direction of the induced e.m.f. is

  1. four times per revolution
  2. six times per revolution
  3. once per revolution
  4. twice per revolution
NEET 2013
3

A current of 2.5 A flows through a coil of inductance 5 H. The magnetic flux linked with the coil is

  1. 0.5 Wb
  2. 12.5 Wb
  3. zero
  4. 2 Wb
NEET 2013 (Karnataka)
4

In a coil of resistance 10 , the induced current developed by changing magnetic flux through it, is shown in figure as a function of time. The magnitude of change in flux through the coil in weber is [figure]

  1. 8
  2. 2
  3. 6
  4. 4
AIPMT 2012 (Mains)
5

A coil of resistance 400 is placed in a magnetic field. If the magnetic flux (Wb) linked with the coil varies with time t (sec) as = 50t2 + 4. The current in the coil at t = 2 sec is

  1. 0.5 A
  2. 0.1 A
  3. 2 A
  4. 1 A
AIPMT 2012 (Prelims)
6

The current (I) in the inductance is varying with time according to the plot shown in figure. [figure] Which one of the following is the correct variation of voltage with time in the coil ?

  1. [figure]
  2. [figure]
  3. [figure]
  4. [figure]
AIPMT 2012 (Prelims)
7

The current i in a coil varies with time as shown in the figure. The variation of induced emf with time would be [figure]

  1. [figure]
  2. [figure]
  3. [figure]
  4. [figure]
AIPMT 2011 (Prelims)
8

A conducting circular loop is placed in a uniform magnetic field, B = 0.025 T with its plane perpendicular to the field. The radius of the loop is made to shrink at a constant rate of 1 mm s-1. The induced emf when the radius is 2 cm, is

  1. 2
  2. 2
  3. 2
AIPMT 2010 (Prelims)
9

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
AIPMT 2009
10

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
11

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

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