(A) The four Maxwell's equations are as follows:$1$. Gauss's Law in Electrostatics: $\oint \vec{E} \cdot d \vec{s} = \frac{q}{\epsilon_0}$ $(A-IV)$$2$

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(A) The four Maxwell's equations are as follows:$1$. Gauss's Law in Electrostatics: $\oint \vec{E} \cdot d \vec{s} = \frac{q}{\epsilon_0}$ $(A-IV)$$2$. Faraday's Law of Induction: $\oint \vec{E} \cdot d \vec{l} = -\frac{d \phi_B}{d t}$ $(B-I)$$3$. Gauss's Law in Magnetism: $\oint \vec{B} \cdot d \vec{A} = 0$ $(C-II)$$4$. Ampere-Maxwell Law: $\oint \vec{B} \cdot d \vec{l} = \mu_0 i_C + \mu_0 \epsilon_0 \frac{d \phi_E}{d t}$ $(D-III)$Therefore,the correct matching is $A-IV, B-I, C-II, D-III$.

Class 12 Physics Electromagnetic Waves Maxwell's equations , Concept of displacement current and Hertz experiment

Medium

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 $III$. $\oint \vec{B} \cdot d \vec{l} = \mu_0 i_C + \mu_0 \epsilon_0 \frac{d \phi_E}{d t}$

$D$. Ampere-Maxwell Law $IV$. $\oint \vec{E} \cdot d \vec{s} = \frac{q}{\epsilon_0}$

Choose the correct answer from the options given below:

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	$III$. $\oint \vec{B} \cdot d \vec{l} = \mu_0 i_C + \mu_0 \epsilon_0 \frac{d \phi_E}{d t}$
$D$. Ampere-Maxwell Law	$IV$. $\oint \vec{E} \cdot d \vec{s} = \frac{q}{\epsilon_0}$