Question

Match List I with List II

LIST I		LIST II
A	Gauss's Law in Electrostatics	I	$\oint \vec{E}\cdot d\vec{l}=-\frac{d{\varphi }_B}{dt}$
B	Faraday's Law	II	$\oint \vec{B}\cdot d\vec{A}=0$
C	Gauss's Law in Magnetism	III	$\oint \vec{B}\cdot d\vec{l}={\mu }_0{i}_c+{\mu }_0{\in }_0\frac{d{\varphi }_E}{dt}$
D	Ampere-Maxwell Law	IV	$\oint \vec{E}\cdot d\vec{s}=\frac{q}{{ϵ}_0}$

Choose the correct answer from the options given below:

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

Answer 1

Answer: (B)

Gauss's Law of electrostatic
$\varphi =\oint \vec{E}\cdot d\vec{s}=\frac{q}{{ϵ}_0}$
Faraday's law $\oint \vec{E}\cdot \overrightarrow{dl}=\frac{-d{\varphi }_B}{dt}$
Gauss's law of magnetism $\oint \vec{B}\cdot d\vec{A}=0$
Ampere's Maxwell law
$\oint \vec{B}.d\vec{l}={\mu }_0{i}_C+{\mu }_0{\in }_0\frac{d{\varphi }_E}{dt}$
Where $i_C$ : Conduction current
${ϵ}_0\frac{d{\varphi }_E}{dt}$ : Displacement current