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Electrostatic Potential and Capacitance

JEE Main 2025 (Online) 28th January Evening ShiftNumericalEasy📈 Topic in 3% papers+4
Ques. 1JEE Main 2025, 28 January (Evening Shift)

An electric dipole of dipole moment 6 10-6 C m is placed in uniform electric field of magnitude 106 V/m. Initially, the dipole moment is parallel to electric field. The work that needs to be done on the dipole to make its dipole moment opposite to the field, will be J.

Answer

12

Solution

U = -pE

W = U(180 ) - U(0 ) = pE - (-pE) = 2pE

W = 2 6 10-6 106 = 12 J

Answer: 12

Keep practising — Electrostatic Potential and Capacitance

Ques. 2JEE Main 2025, 24 January (Morning Shift)

Consider a parallel plate capacitor of area A (of each plate) and separation 'd' between the plates. If E is the electric field and 0 is the permittivity of free space between the plates, then potential energy stored in the capacitor is

  1. 0E2Ad
  2. 34 0E2Ad
  3. 14 0E2Ad
  4. 12 0E2Ad
Ques. 3JEE Main 2025, 24 January (Morning Shift)

A parallel plate capacitor was made with two rectangular plates, each with a length of l=3 cm and breadth of b=1 cm. The distance between the plates is 3 . Out of the following, which are the ways to increase the capacitance by a factor of 10 ? Choose the correct answer from the options given below:

  1. C only
  2. A only
  3. B and D only
  4. C and E only
Ques. 4JEE Main 2025, 24 January (Evening Shift)

[figure] In the first configuration (1) as shown in the figure, four identical charges (q0) are kept at the corners A, B, C and D of square of side length 'a'. In the second configuration (2), the same charges are shifted to mid points G, E, H and F, of the square. If K= 14 0, the difference between the potential energies of configuration (2) and (1) is given by :

  1. Kq02a (4-2 2 )
  2. Kq02a (4 2-2 )
  3. Kq02a (3- 2 )
  4. Kq02a (3 2-2 )
Ques. 5JEE Main 2025, 23 January (Evening Shift)

Two point charges -4 and 4 , constituting an electric dipole, are placed at (-9,0,0) cm and (9,0,0) cm in a uniform electric field of strength 104 N C-1. The work done on the dipole in rotating it from the equilibrium through 180 is :

  1. 18.4 mJ
  2. 12.4 mJ
  3. 16.4 mJ
  4. 14.4 mJ
Ques. 6JEE Main 2025, 23 January (Evening Shift)

Two charges 7 and -4 are placed at (-7 cm,0,0) and (7 cm,0,0) respectively. Given, 0=8.85 10-12 C2 N-1 m-2, the electrostatic potential energy of the charge configuration is :

  1. -2.0 J
  2. -1.5 J
  3. -1.2 J
  4. -1.8 J
Ques. 7JEE Main 2025, 22 January (Morning Shift)

A parallel-plate capacitor of capacitance 40 is connected to a 100 V power supply. Now the intermediate space between the plates is filled with a dielectric material of dielectric constant K=2. Due to the introduction of dielectric material, the extra charge and the change in the electrostatic energy in the capacitor, respectively, are

  1. 8 mC and 2.0 J
  2. 4 mC and 0.2 J
  3. 2 mC and 0.2 J
  4. 2 mC and 0.4 J
Ques. 8JEE Main 2025, 22 January (Evening Shift)

For a short dipole placed at origin O , the dipole moment P is along x-axis, as shown in the figure. If the electric potential and electric field at A are V0 and E0, respectively, then the correct combination of the electric potential and electric field, respectively, at point B on the y-axis is given by [figure]

  1. V02 and E016
  2. zero and E08
  3. V0 and E04
  4. zero and E016
Ques. 9JEE Main 2024, 9 April (Morning Shift)

A capacitor is made of a flat plate of area A and a second plate having a stair-like structure as shown in figure. If the area of each stair is A3 and the height is d, the capacitance of the arrangement is : [figure]

  1. 11 0 A20 d
  2. 13 0 A17 d
  3. 18 0 A11 d
  4. 11 0 A18 d
Ques. 10JEE Main 2024, 9 April (Morning Shift)

At the centre of a half ring of radius R = 10 cm and linear charge density 4 nC m-1, the potential is x V. The value of x is .

Ques. 11JEE Main 2024, 8 April (Morning Shift)

Two charged conducting spheres of radii a and b are connected to each other by a conducting wire. The ratio of charges of the two spheres respectively is:

  1. ab
  2. ba
  3. ab
  4. ab

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