Published by:
CGP EDU Academic Team
Published on: September 12, 2026
Match the column
Column-I | Column-II |
(i) A stationary uniformly charged dielectric ring | [A] Time independent electrostatic field out of system |
(ii) Dielectric ring uniformly charged rotating with angular velocity ω. | [B] Magnetic field |
(iii) Constant current in ring i0 | [C] Induced electric field |
(iv) i = i0 cosωt | [D] Magnetic moment |
Correct Matrix Matching
Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: Analyze Column-I and Column-II.
(i) A stationary uniformly charged dielectric ring: This system does not produce any magnetic field as there is no movement involved. It only creates an electric field. Hence it corresponds to [A] Time independent electrostatic field out of system.
(ii) A dielectric ring uniformly charged rotating with angular velocity ω: When the charged ring rotates, it generates a magnetic field due to the movement of charge, which can be associated with [B] Magnetic field.
(iii) Constant current in ring i0: A steady current (constant in time) will establish a magnetic field around it. This could also be viewed as being a constant magnetic field. Hence it relates to [D] Magnetic moment.
(iv) i = i0 cos(ωt): This indicates an alternating current that changes with time. Due to the changing current, it induces an electric field according to Faraday's Law of Electromagnetic Induction. Therefore, this matches [C] Induced electric field.
Thus, the matching will be:
- (i) - [A]
- (ii) - [B]
- (iii) - [D]
- (iv) - [C]
Therefore, using the logical associations, we conclude that the correct answer option is A.
(i) A stationary uniformly charged dielectric ring: This system does not produce any magnetic field as there is no movement involved. It only creates an electric field. Hence it corresponds to [A] Time independent electrostatic field out of system.
(ii) A dielectric ring uniformly charged rotating with angular velocity ω: When the charged ring rotates, it generates a magnetic field due to the movement of charge, which can be associated with [B] Magnetic field.
(iii) Constant current in ring i0: A steady current (constant in time) will establish a magnetic field around it. This could also be viewed as being a constant magnetic field. Hence it relates to [D] Magnetic moment.
(iv) i = i0 cos(ωt): This indicates an alternating current that changes with time. Due to the changing current, it induces an electric field according to Faraday's Law of Electromagnetic Induction. Therefore, this matches [C] Induced electric field.
Thus, the matching will be:
- (i) - [A]
- (ii) - [B]
- (iii) - [D]
- (iv) - [C]
Therefore, using the logical associations, we conclude that the correct answer option is A.
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