Match the following Column I with Column II. Column I Column II 1. ∮^B ·d |=μ0 1 A. Gauss's la

step 1 Cution is the match type question where we are going to match the column first with the column s

Match the following Column I with Column II. Column I ...

Match the following Column I with Column II. Column I $\quad$ Column II 1. $\oint^{B} \cdot d \mid=\mu_{0} 1$ A. Gauss's law induction C. Ampere Maxwells IV. $\oint E \cdot d s=\frac{1}{\varepsilon_{0}} \oint_{s} \rho d s$ D. Ampere's circuit (a) $1-\mathrm{A}, \|-\mathrm{B}, \mathbb{I I}-\mathrm{C}, \mathrm{IV}-\mathrm{D}$ (b) $1-\mathrm{D}, \mathrm{II}-\mathrm{C}_{4} \mathrm{III}-\mathrm{B}, \mathrm{IV}-\mathrm{A}$ (c) $1-D, \|-B, I I 1-A, I V-C$ (d) $1-\mathrm{C}, \mathbb{l l}-\mathrm{A}, \mathrm{III}-\mathrm{B}, \mathrm{IV}-\mathrm{D}$

Match the following Column I with Column II. Column I $\quad$ Column II
1. $\oint^{B} \cdot d \mid=\mu_{0} 1$
A. Gauss's law
induction
C. Ampere Maxwells
IV. $\oint E \cdot d s=\frac{1}{\varepsilon_{0}} \oint_{s} \rho d s$
D. Ampere's circuit
(a) $1-\mathrm{A}, \|-\mathrm{B}, \mathbb{I I}-\mathrm{C}, \mathrm{IV}-\mathrm{D}$
(b) $1-\mathrm{D}, \mathrm{II}-\mathrm{C}_{4} \mathrm{III}-\mathrm{B}, \mathrm{IV}-\mathrm{A}$
(c) $1-D, \|-B, I I 1-A, I V-C$
(d) $1-\mathrm{C}, \mathbb{l l}-\mathrm{A}, \mathrm{III}-\mathrm{B}, \mathrm{IV}-\mathrm{D}$

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Key Concepts

Maxwell-Ampere Law

This is the extension of Ampere's Circuital Law which includes the displacement current term, accounting for time-varying electric fields. It ensures the continuity of current in situations where charge accumulation would otherwise occur, forming one of Maxwell's equations that underpin the theory of electromagnetism.

Ampere's Circuital Law

This law states that the line integral of the magnetic field around a closed loop is directly proportional to the net current passing through the loop. It is fundamental in magnetostatics and is used to calculate magnetic fields generated by steady currents, especially in cases with high symmetry.

Gauss's Law for Electricity

This law relates the electric flux passing through a closed surface to the charge enclosed by that surface. It is used to determine electric fields of charge distributions, particularly when the symmetry of the charge configuration simplifies the flux integration over the surface.

Faraday's Law of Electromagnetic Induction

This law states that a time-varying magnetic field within a closed loop induces an electromotive force (emf) in the loop. It is fundamental in explaining the operation of transformers, inductors, and many types of electrical generators and motors, as it connects changing magnetic fields to induced electric fields.

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