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Electric Charges and Fields

JEE Main 2024 (Online) 27th January Evening ShiftNumericalMedium📈 Topic in 10% papers+4
Ques. 1JEE Main 2024, 27 January (Evening Shift)

Two charges of -4 and +4 are placed at the points A(1, 0, 4) m and B(2, -1, 5) m located in an electric field E=0.20 i V/cm. The magnitude of the torque acting on the dipole is 8 10-5 Nm, where = .

Answer

2

Solution

Dipole moment points from -q (A) to +q (B): p=q AB

AB=(2-1) i+(-1-0) j+(5-4) k= i- j+ k

p=4 10-6( i- j+ k) C m, E=0.20 V/cm=20 i V/m

= p E=80 10-6( i- j+ k) i

=8 10-5( j+ k)

| |=8 2 10-5 N m =2

Answer: 2

Keep practising — Electric Charges and Fields

Ques. 2JEE Main 2026, 8 April (Evening Shift)

Two point charges q1=3 μC and q2=-4 μC are placed at points (2 i+3 j+3 k ) and ( i+ j+ k ) respectively. Force on charge q2 is N. (Take 14 0=9 109 SI Units)

  1. (12 i+24 j+24 k ) 10-3
  2. (4 i+8 j+8 k ) 10-3
  3. (3 i+6 j+6 k ) 10-3
  4. (-4 i-8 j-8 k ) 10-3
Ques. 3JEE Main 2026, 6 April (Morning Shift)

A thin half ring of radius 35 cm is uniformly charged with a total charge of Q coulomb. If the magnitude of the electric field at centre of the half ring is 100 V/m, then the value of Q is nC. ( 0=8.85 10-12 C2/Nm2 and =3.14)

  1. 2.14
  2. 2.44
  3. 3.25
  4. 0.7
Ques. 4JEE Main 2026, 4 April (Evening Shift)

A rigid dipole undergoes a simple harmonic motion about its centre in the presence of an electric field E1=E0 x. If another electric field E2=2E0 ( y+ z ) is introduced to the system, what will be the percentage change in the frequency of the oscillation (approximate)?

  1. 73%
  2. 63%
  3. 83%
  4. 53%
Ques. 5JEE Main 2026, 2 April (Morning Shift)

Two short electric dipoles A and B having dipole moment p1 and p2 respectively are placed with their axes mutually perpendicular as shown in the figure. The resultant electric field at a point x is making an angle of 60 with the line joining points O and x. The ratio of the dipole moments p2/p1 is . [figure]

  1. 32
  2. 2 3
  3. 1 3
  4. 3
Ques. 6JEE Main 2026, 2 April (Evening Shift)

Two point charges 8 μC and -2 μC are located at x=2 cm and x=4 cm, respectively on the x-axis. The ratio of electric flux due to these charges through two spheres of radii 3 cm and 5 cm with their centers at the origin is .

  1. 4 : 1
  2. 3 : 4
  3. 4 : 3
  4. 4 : 5
Ques. 7JEE Main 2026, 28 January (Evening Shift)

Identify the correct statements : Choose the correct answer from the options given below :

  1. A, C, E Only
  2. A, B, D, E Only
  3. B, C, D, E Only
  4. A, B, C, D Only
Ques. 8JEE Main 2026, 24 January (Morning Shift)

The electrostatic potential in a charged spherical region of radius r varies as V = ar3 + b, where a and b are constants. The total charge in the sphere of unit radius is a 0. The value of is . (permittivity of vacuum is 0)

  1. -12
  2. -8
  3. -9
  4. -6
Ques. 9JEE Main 2026, 24 January (Morning Shift)

Three charges +2q, +3q and -4q are situated at (0, -3a), (2a, 0) and (-2a, 0) respectively in the xy plane. The resultant dipole moment about origin is .

  1. 2qa(7 i - 3 j)
  2. 2qa(3 j - 7 i)
  3. 2qa(3 i - 7 j)
  4. 2qa(3 j - i)
Ques. 10JEE Main 2026, 24 January (Evening Shift)

A point charge q = 1 is located at a distance 2 cm from one end of a thin insulating wire of length 10 cm having a charge Q = 24 , distributed uniformly along its length, as shown in figure. Force between q and wire is N. (Use : 14 0 = 9 109 N m2/C2) [figure]

Ques. 11JEE Main 2026, 23 January (Morning Shift)

Two point charges 2q and q are placed at vertex A and centre of face CDEF of the cube as shown in figure. The electric flux passing through the cube is: [figure]

  1. 3q2 0
  2. 3q4 0
  3. q 0
  4. 3q 0

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