Match List – I with List – II. Ampere’s circuital law [2026]

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Q.
Match List – I with List – II. [2026]

List – I List – II

(Relation) (Law)

A. $\oint \vec{E} \cdot d \vec{l} = - \frac{d}{d t} \oint \vec{B} \cdot \vec{d a}$ I. Ampere’s circuital law

B. $\oint \vec{B} \cdot \vec{d l} = μ_{0} (I + ε_{0} \frac{d Φ_{E}}{d t})$ II. Faraday’s laws of electromagnetic induction

C. $\oint \vec{E} \cdot \vec{d a} = \frac{1}{ε_{0}} \int_{V} ρ d V$ III. Ampere–Maxwell law

D. $\oint \vec{B} \cdot \vec{d l} = μ_{0} I$ IV. Gauss’s law of electrostatics

Choose the correct answer from the options given below:

Solution

1 A–II, B–III, C–I, D–IV

2 A–II, B–III, C–IV, D–I

3 A–I, B–IV, C–III, D–II

4 A–IV, B–I, C–II, D–III

Ans.
(2)

Theoretical

A-II, B-III, C-IV, D-I

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	List – I		List – II
	(Relation)		(Law)
A.	$\oint \vec{E} \cdot d \vec{l} = - \frac{d}{d t} \oint \vec{B} \cdot \vec{d a}$	I.	Ampere’s circuital law
B.	$\oint \vec{B} \cdot \vec{d l} = μ_{0} (I + ε_{0} \frac{d Φ_{E}}{d t})$	II.	Faraday’s laws of electromagnetic induction
C.	$\oint \vec{E} \cdot \vec{d a} = \frac{1}{ε_{0}} \int_{V} ρ d V$	III.	Ampere–Maxwell law
D.	$\oint \vec{B} \cdot \vec{d l} = μ_{0} I$	IV.	Gauss’s law of electrostatics

Solution

1 A–II, B–III, C–I, D–IV

2 A–II, B–III, C–IV, D–I

3 A–I, B–IV, C–III, D–II

4 A–IV, B–I, C–II, D–III

Ans. (2) Theoretical A-II, B-III, C-IV, D-I

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Ans.
(2)

Theoretical

A-II, B-III, C-IV, D-I