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Electrostatic Potential and Capacitance

AIPMT 2009MCQEasy📈 Topic in 50% papers+4−1
Ques. 1AIPMT 2009

Three capacitors each of capacitance C and of breakdown voltage V are joined in series. The capacitance and breakdown voltages of the combination will be

  1. 3C, V3
  2. C3, 3V
  3. 3C, 3V
  4. C3, V3

Answer

(2) C3, 3V

Solution

For capacitors in series:

1Ceq = 1C + 1C + 1C = 3C

Ceq = C3

Identical capacitors in series share the applied voltage equally, so each can take V before breakdown.

Breakdown voltage of the combination = 3V

Answer: (2)

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Ques. 2AIPMT 2009

The electric potential at a point (x, y, z) is given by V = -x2y - xz3 + 4 The electric field at that point is

  1. E = i 2xy + j (x2 + y2) + k (3xz - y2)
  2. E = i z3 + j xyz + k z2
  3. E = i (2xy - z3) + j xy2 + k 3z2x
  4. E = i (2xy + z3) + j x2 + k 3xz2
Ques. 3AIPMT 2008

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 0 E2
  2. E2Ad 0
  3. 12 0 E2Ad
  4. 0 EAd
Ques. 4AIPMT 2008

The electric potential at a point in free space due to charge Q coulomb is Q 1011 volts. The electric field at that point is

  1. 4 0 Q 1020 volt/m
  2. 12 0 Q 1022 volt/m
  3. 4 0 Q 1022 volt/m
  4. 12 0 Q 1020 volt/m
Ques. 5AIPMT 2007

Charges +q and -q are placed at points A and B respectively which are a distance 2L apart, C is the midpoint between A and B. The work done in moving a charge +Q along the semicircle CRD is [figure]

  1. qQ2 0L
  2. qQ6 0L
  3. - qQ6 0L
  4. qQ4 0L
Ques. 6AIPMT 2007

Two condensers, one of capacity C and other of capacity C/2 are connected to a V-volt battery, as shown in the figure. The work done in charging fully both the condensers is [figure]

  1. 14CV2
  2. 34CV2
  3. 12CV2
  4. 2CV2
Ques. 7AIPMT 2006

A parallel plate air capacitor is charged to a potential difference of V volts. After disconnecting the charging battery the distance between the plates of the capacitor is increased using an insulating handle. As a result the potential difference between the plates

  1. increases
  2. decreases
  3. does not change
  4. becomes zero
Ques. 8AIPMT 2006

An electric dipole of moment p is lying along a uniform electric field E. The work done in rotating the dipole by 90 is

  1. pE
  2. 2pE
  3. pE/2
  4. 2pE
Ques. 9AIPMT 2005

A network of four capacitors of capacity equal to C1 = C, C2 = 2C, C3 = 3C and C4 = 4C are connected to a battery as shown in the figure. The ratio of the charges on C2 and C4 is [figure]

  1. 4/7
  2. 3/22
  3. 7/4
  4. 22/3
Ques. 10AIPMT 2005

As per the diagram a point charge +q is placed at the origin O. Work done in taking another point charge −Q from the point A [coordinates (0, a)] to another point B [coordinates (a, 0)] along the straight path AB is [figure]

  1. zero
  2. ( qQ4 0 1a2 ) 2a
  3. ( -qQ4 0 1a2 ) 2a
  4. ( qQ4 0 1a2 ) a 2
Ques. 11AIPMT 2005

Two charges q1 and q2 are placed 30 cm apart, as shown in the figure. A third charge q3 is moved along the arc of a circle of radius 40 cm from C to D. The change in the potential energy of the system is q34 0k, where k is [figure]

  1. 8q1
  2. 6q1
  3. 8q2
  4. 6q2

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