Question

Match List I with List II

LIST I		LIST II
A	Gauss's Law in Electrostatics	I	$\oint \vec{E} \cdot d \vec{l}=-\frac{d \phi_B}{d t}$
B	Faraday's Law	II	$\oint \vec{B} \cdot d \vec{A}=0$
C	Gauss's Law in Magnetism	III	$\oint \vec{B} \cdot d \vec{l}=\mu_0 i_c+\mu_0 \in_0 \frac{d \phi_E}{d t}$
D	Ampere-Maxwell Law	IV	$\oint \vec{E} \cdot d \vec{s}=\frac{q}{\epsilon_0}$

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
$\phi=\oint \vec{ E } \cdot d \vec{ s }=\frac{ q }{\epsilon_0}$
Faraday's law $\oint \vec{E} \cdot \vec{d l}=\frac{-d \phi_B}{d t}$
Gauss's law of magnetism $\oint \vec{ B } \cdot d \vec{ A }=0$
Ampere's Maxwell law
$\oint \vec{B} . d \vec{l}=\mu_0 i_C+\mu_0 \in_0 \frac{d \phi_E}{d t}$
Where $i _{ C }$ : Conduction current
$\epsilon_0 \frac{ d \phi_{ E }}{ dt }$ : Displacement current