Match Column I with Column II, Electromagnetic Waves

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Q.
Match Column I with Column II

Column I Column II

A. $\oint \vec{B} \cdot d l = μ_{0} i_{c} + μ_{0} ϵ_{0} \frac{d Φ_{E}}{d t}$ I. Gauss' law for electricity

B. $\oint \vec{E} \cdot \vec{d} l = \frac{d Φ_{B}}{d t}$ II. Gauss' law for magnetism

C. $\oint \vec{E} \cdot \vec{d} A = \frac{Q}{ϵ_{0}}$ III. Faraday law

D. $\oint \vec{B} \cdot \vec{d} A = 0$ IV. Ampere-Maxwell law

Choose the correct answer from the options given below [2024]

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

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

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

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

Ans.
(3)

Ampere-Maxwell law, $\oint \vec{B} \cdot d l = μ_{0} i_{c} + μ_{0} ϵ_{0} \frac{d Φ_{E}}{d t}$

Faraday law, $\oint \vec{E} \cdot \vec{d} l = \frac{d Φ_{B}}{d t}$

Gauss' law for electricity $\oint \vec{E} \cdot \vec{d} A = \frac{Q}{ϵ_{0}}$

Gauss' law for magnetism $\oint \vec{B} \cdot \vec{d} A = 0$

Solution

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

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

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

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

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	Column I		Column II
A.	$\oint \vec{B} \cdot d l = μ_{0} i_{c} + μ_{0} ϵ_{0} \frac{d Φ_{E}}{d t}$	I.	Gauss' law for electricity
B.	$\oint \vec{E} \cdot \vec{d} l = \frac{d Φ_{B}}{d t}$	II.	Gauss' law for magnetism
C.	$\oint \vec{E} \cdot \vec{d} A = \frac{Q}{ϵ_{0}}$	III.	Faraday law
D.	$\oint \vec{B} \cdot \vec{d} A = 0$	IV.	Ampere-Maxwell law

Solution

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

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

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

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

Ans. (3) Ampere-Maxwell law, ∮B→⋅dl=μ0ic+μ0ϵ0dΦEdt Faraday law, ∮E→⋅d→l=dΦBdt Gauss' law for electricity ∮E→⋅d→A=Qϵ0 Gauss' law for magnetism ∮B→⋅d→A=0

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