Match List-I with List-II.List-I (Relation)Li | vedclass

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(B) The four Maxwell's equations are as follows:$1$. Gauss's law for electricity: $\oint \overrightarrow{E} \cdot d\vec{a} = \frac{q_{enclosed}}{\epsi

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

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(B) The four Maxwell's equations are as follows:$1$. Gauss's law for electricity: $\oint \overrightarrow{E} \cdot d\vec{a} = \frac{q_{enclosed}}{\epsilon_0} = \frac{1}{\epsilon_0} \int \rho dv$. This matches $C-IV$.$2$. Gauss's law for magnetism: $\oint \overrightarrow{B} \cdot d\vec{a} = 0$.$3$. Faraday's law of induction: $\oint \overrightarrow{E} \cdot d\vec{l} = -\frac{d}{dt} \oint \overrightarrow{B} \cdot d\vec{a}$. This matches $A-II$.$4$. Ampere-Maxwell law: $\oint \vec{B} \cdot d\vec{l} = \mu_0(I + \epsilon_0 \frac{d\phi_E}{dt})$. This matches $B-III$.$5$. Ampere's circuital law (original form for steady currents): $\oint \overrightarrow{B} \cdot d\vec{l} = \mu_0 I$. This matches $D-I$.Therefore, the correct matching is $A-II, B-III, C-IV, D-I$.

List-$I$ (Relation)	List-$II$ (Law)
$A$. $\oint \overrightarrow{E} \cdot d\vec{l} = -\frac{d}{dt} \oint \overrightarrow{B} \cdot d\vec{a}$	$I$. Ampere's circuital law
$B$. $\oint \vec{B} \cdot d\vec{l} = \mu_0(I + \epsilon_0 \frac{d\phi_E}{dt})$	$II$. Faraday's laws of electromagnetic induction
$C$. $\oint \overrightarrow{E} \cdot d\vec{a} = \frac{1}{\epsilon_0} \int \rho dv$	$III$. Ampere-Maxwell law
$D$. $\oint \overrightarrow{B} \cdot d\vec{l} = \mu_0 I$	$IV$. Gauss's law of electrostatics

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