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Electric Charges and Fields · Question 25

AIPMT 2008MCQMedium📈 Topic in 12% papers+4−1
1

A thin conducting ring of radius R is given a charge +Q. The electric field at the centre O of the ring due to the charge on the part AKB of the ring is E. The electric field at the centre due to the charge on the part ACDB of the ring is [figure]

  1. E along KO
  2. 3E along OK
  3. 3E along KO
  4. E along OK

Answer

(4) E along OK

Solution

By symmetry, the field at the centre due to the whole uniformly charged ring is zero.

EAKB + EACDB = 0 EACDB = - EAKB

The positive charge on AKB gives a field E at O directed away from it, i.e. along KO.

The field due to ACDB has the same magnitude E and is directed opposite, i.e. along OK.

Answer: (4)

AIPMT 2008

Keep practising — Electric Charges and Fields

2

A hollow cylinder has a charge q coulomb within it. If is the electric flux in units of volt-metre associated with the curved surface B, the flux linked with the plane surface A in units of V-m will be [figure]

  1. q2 0
  2. 3
  3. q 0 -
  4. 12 ( q 0 - )
AIPMT 2007
3

Three point charges +q, -2q and + q are placed at points (x = 0, y = a, z = 0), (x = 0, y = 0, z = 0) and (x = a, y = 0, z = 0) respectively. The magnitude and direction of the electric dipole moment vector of this charge assembly are

  1. 2qa along the line joining points (x = 0, y = 0, z = 0) and (x = a, y = a, z = 0)
  2. qa along the line joining points (x = 0, y = 0, z = 0) and (x = a, y = a, z = 0)
  3. 2qa along +x direction
  4. 2qa along +y direction
AIPMT 2007
4

A square surface of side L metres is in the plane of the paper. A uniform electric field E (volt/m), also in the plane of the paper is limited only to the lower half of the square surface (see figure). The electric flux in SI units associated with the surface is [figure]

  1. EL2
  2. EL2/2 0
  3. EL2/2
  4. zero
AIPMT 2006
5

The unit of permittivity of free space, 0, is

  1. coulomb/newton-metre
  2. newton-metre2/coulomb2
  3. coulomb2/newton-metre2
  4. coulomb2/(newton-metre)2
AIPMT 2004
6

A charge q is located at the centre of a cube. The electric flux through any face is

  1. 2 q6(4 0)
  2. 4 q6(4 0)
  3. q6(4 0)
  4. q6(4 0)
AIPMT 2003
7

An electron is moving round the nucleus of a hydrogen atom in a circular orbit of radius r. The Coulomb force F between the two is

  1. K e2r2 r
  2. -K e2r3 r
  3. K e2r3 r
  4. -K e2r2 r
AIPMT 2003
8

A dipole of dipole moment p is placed in uniform electric field E then torque acting on it is given by

  1. = p E
  2. = p E
  3. = p + E
  4. = p - E
AIPMT 2001
9

A charge Q is placed at the centre of a cube, the flux coming out from each face will be

  1. Q6 0 10-6
  2. Q6 0 10-3
  3. Q24 0
  4. Q8 0
AIPMT 2001
10

A charge Q is situated at the corner of a cube, the electric flux passed through all the six faces of the cube is

  1. Q6 0
  2. Q8 0
  3. Q 0
  4. Q2 0
AIPMT 2000
11

Electric field at centre O of semicircle of radius a having linear charge density is given as [figure]

  1. 2 0 a
  2. 0 a
  3. 2 0 a
  4. 0 a
AIPMT 2000

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