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# Maxwell's 4 Equations - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

## Quick Facts

• 13 Questions around this concept.

## Solve by difficulty

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 $III.$ \begin{aligned} & \oint \vec{B} \cdot d \vec{l} \\ & =\mu_0 i_c+\mu_0 \in_0 \frac{d \phi_E}{d t} \end{aligned} $D.$ Ampere-Maxwell Law $IV.$ $\oint \vec{E} \cdot d \vec{s}=\frac{q}{\epsilon_0}$

Choose the correct answer from the options given below:

Which of the following Maxwell's equation is valid for time-varying conditions but not valid for static conditions?

An electromagnetic wave going through the vacuum is described by $\mathrm{E=E_{0} \sin (k x-w t)\: and \: B=B_{0} \sin (k x-w t)}$ then ____

If a magnetic monopole existed, then which of the following Maxwell's equations would be modified?

## Concepts Covered - 1

Maxwell's equations

Maxwell's equations

The four Maxwell's equations and Lorentz force law together constitute the foundations of classical electromagnetism. The Maxwell's equations are:

$\begin{array}{ll}{\text { 1. } \oint \mathbf{E} \cdot \mathrm{d} \mathbf{A}=\mathrm{Q} / \varepsilon_{0}} & {\text { (Gauss's Law for electricity) }} \\ \\ {\text { 2. } \oint \mathbf{B} \cdot \mathrm{d} \mathbf{A}=0} & {\text { (Gauss's Law for magnetism) }} \\ \\ {\text { 3. } \oint \mathbf{E} \cdot \mathrm{d} \mathbf{l}=\frac{-\mathrm{d} \phi_{\mathrm{B}}}{\mathrm{d} t}} & {\text { (Faraday's Law) }} \\ \\ {\text { 4. } \oint \mathbf{B} \cdot \mathrm{d} \mathbf{l}=\mu_{0} i_{\mathrm{c}}+\mu_{0} \varepsilon_{0} \frac{\mathrm{d} \phi_{E}}{\mathrm{d} t}} & {\text { (Ampere-Maxwell Law) }}\end{array}$

## Study it with Videos

Maxwell's equations

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