Match List I with List II: Gauss’s Law in Electrostatics [2023]

Question

Match List I with List II: [2023]

	List I		List II
A.	Gauss’s Law in Electrostatics	I.	$\oint \vec{E} \cdot d \vec{l} = - \frac{d ϕ_{B}}{d t}$
B.	Faraday’s Law	II.	$\oint \vec{B} \cdot d \vec{A} = 0$
C.	Gauss’s Law in Magnetism	III.	$\oint \vec{B} \cdot d \vec{l} = μ_{0} i_{c} + μ_{0} ε_{0} \frac{d ϕ_{E}}{d t}$
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:

Smart Achievers · Accepted Answer

(2)

Gauss's law of electrostatics

$ϕ = \oint \vec{E} \cdot d \vec{s} = \frac{q}{ε_{0}}$

Faraday's law $\oint \vec{E} \cdot d \vec{l} = \frac{- d ϕ_{B}}{d t}$

Gauss's law of magnetism $\oint \vec{B} \cdot d \vec{A} = 0$

Ampere's Maxwell law

$\oint \vec{B} \cdot d \vec{l} = μ_{0} i_{C} + μ_{0} ε_{0} \frac{d ϕ_{E}}{d t}$

Where $i_{C}$ : Conduction current

$ε_{0} \frac{d ϕ_{E}}{d t}$ : Displacement current

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