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Electric Charges and Fields · Question 23

JEE Main 2025 (Online) 2nd April Evening ShiftMCQEasy📈 Topic in 13% papers+4−1
1

Consider a circular loop that is uniformly charged and has a radius a 2. Find the position along the positive z-axis of the Cartesian coordinate system where the electric field is maximum if the ring was assumed to be placed in xy plane at the origin :

  1. a
  2. a/2
  3. 0
  4. a/ 2

Answer

(1) a

Solution

Field on the axis of a charged ring of radius R:

E = kQz (R2 + z2 )3/2

For maximum E: dEdz = 0

(R2 + z2 ) - 3z2 = 0

z = R 2

z = a 2 2 = a

Answer: (1)

JEE Main 2025 (Online) 2nd April Evening Shift

Keep practising — Electric Charges and Fields

2

An electric dipole of mass m, charge q, and length l is placed in a uniform electric field E = E0 i. When the dipole is rotated slightly from its equilibrium position and released, the time period of its oscillations will be :

  1. 12 ml2qE0
  2. 2 ml2qE0
  3. 2 mlqE0
  4. 12 2mlqE0
JEE Main 2025 (Online) 29th January Morning Shift
3

Match List - I with List - II. Choose the correct answer from the options given below :

  1. (A)-(IV), (B)-(I), (C)-(III), (D)-(II)
  2. (A)-(II), (B)-(I), (C)-(IV), (D)-(III)
  3. (A)-(III), (B)-(II), (C)-(IV), (D)-(I)
  4. (A)-(IV), (B)-(II), (C)-(III), (D)-(I)
JEE Main 2025 (Online) 29th January Morning Shift

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