Electromagnetic Laws Matching (Jee Mains)

Electromagnetic Induction

Medium

Match List-I with List-II.

List-I (Relation)		List-II (Law)
(A)	$\oint {\vec E.{\mkern 1mu} {\mkern 1mu} \vec d\ell } = - \frac{d}{{dt}}\oint {\vec B{\mkern 1mu} {\mkern 1mu} \cdot{\mkern 1mu} {\mkern 1mu} \vec da}$	(I)	Ampere's circuital law.
(B)	$\oint {B{\mkern 1mu} .{\mkern 1mu} {\mkern 1mu} \vec d\ell } = {\mu _0}\left( {1 + { \in _0}\frac{{d{\phi _E}}}{{dt}}} \right)$	(II)	Faraday's laws of electromagnetic induction.
(C)	$\oint {\vec E\,.\,\,\vec da} = \frac{1}{{{ \in _0}}}\int {\rho dv}$	(III)	Ampere-Maxwell law
(D)	$\oint {\vec B\cdot\vec d\ell } {\text{ }} = {\mu _0}I$	(IV)	Gauss's law of electrostatics

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