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Electrostatic Potential and Capacitance

AIPMT 2012 (Mains)MCQEasy📈 Topic in 50% papers+4−1
Ques. 1AIPMT 2012 (Mains)

A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the plates is d and area of each plate is A, the energy stored in the capacitor is

  1. 12 0E2
  2. E2Ad 0
  3. 12 0E2Ad
  4. 0EAd

Answer

(3) 12 0E2Ad

Solution

Energy density of the electric field: u = 12 0E2

Volume between the plates = Ad

U = u Ad = 12 0E2Ad

Answer: (3)

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Ques. 2AIPMT 2012 (Mains)

Two metallic spheres of radii 1 cm and 3 cm are given charges of -1 10-2 C and 5 10-2 C, respectively. If these are connected by a conducting wire, the final charge on the bigger sphere is

  1. 2 10-2 C
  2. 3 10-2 C
  3. 4 10-2 C
  4. 1 10-2 C
Ques. 3AIPMT 2012 (Prelims)

An electric dipole of moment p is placed in an electric field of intensity E. The dipole acquires a position such that the axis of the dipole makes an angle with the direction of the field. Assuming the potential energy of the dipole to be zero when = 90 , the torque and the potential energy of the dipole will respectively be

  1. pE , -pE
  2. pE , -2pE
  3. pE , 2pE
  4. pE , -pE
Ques. 4AIPMT 2012 (Prelims)

Four point charges -Q, -q, 2q and 2Q are placed, one at each corner of the square. The relation between Q and q for which the potential at the centre of the square is zero is

  1. Q = -q
  2. Q = - 1q
  3. Q = q
  4. Q = 1q
Ques. 5AIPMT 2011 (Mains)

Three charges, each +q, are placed at the corners of an isosceles triangle ABC of sides BC and AC, 2a. D and E are the mid points of BC and CA. The work done in taking a charge Q from D to E is [figure]

  1. 3qQ4 0 a
  2. 3qQ8 0 a
  3. qQ4 0 a
  4. zero
Ques. 6AIPMT 2011 (Mains)

The electric potential V at any point (x, y, z), all in metres in space is given by V = 4x2 volt. The electric field at the point (1, 0, 2) in volt/metre, is

  1. 8 along negative X-axis
  2. 8 along positive X-axis
  3. 16 along negative X-axis
  4. 16 along positive X-axis
Ques. 7AIPMT 2011 (Prelims)

A parallel plate capacitor has a uniform electric field E in the space between the plates. If the distance between the plates is d and area of each plate is A, the energy stored in the capacitor is

  1. 12 0E2
  2. E2Ad 0
  3. 12 0E2Ad
  4. 0EAd
Ques. 8AIPMT 2011 (Prelims)

Four electric charges +q, +q, −q and −q are placed at the corners of a square of side 2L (see figure). The electric potential at point A, midway between the two charges +q and +q, is [figure]

  1. 14 0 2qL (1 + 5 )
  2. 14 0 2qL (1 + 1 5 )
  3. 14 0 2qL (1 - 1 5 )
  4. zero
Ques. 9AIPMT 2010 (Mains)

Two parallel metal plates having charges +Q and -Q face each other at a certain distance between them. If the plates are now dipped in kerosene oil tank, the electric field between the plates will

  1. become zero
  2. increase
  3. decrease
  4. remain same
Ques. 10AIPMT 2010 (Prelims)

A series combination of n1 capacitors, each of value C1, is charged by a source of potential difference 4V. When another parallel combination of n2 capacitors, each of value C2, is charged by a source of potential difference V, it has the same (total) energy stored in it as the first combination has. The value of C2, in terms of C1, is then

  1. 2C1n1 n2
  2. 16 n2n1C1
  3. 2 n2n1C1
  4. 16C1n1 n2
Ques. 11AIPMT 2009

Three concentric spherical shells have radii a, b and c (a < b < c) and have surface charge densities , - and respectively. If VA, VB and VC denote the potentials of the three shells, then, for c = a + b, we have

  1. VC = VB VA
  2. VC VB VA
  3. VC = VB = VA
  4. VC = VA VB

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