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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:
1. $\oint \mathbf{E} \cdot \mathrm{d} \mathbf{A}=\mathrm{Q} / \varepsilon_0$
(Gauss's Law for electricity)


2. $\oint \mathbf{B} \cdot \mathrm{d} \mathbf{A}=0$
(Gauss's Law for magnetism)


3. $\oint \mathbf{E} \cdot \mathrm{d} \mathbf{l}=\frac{-\mathrm{d} \phi_{\mathrm{B}}}{\mathrm{d} t}$
(Faraday's Law)


4. $\oint \mathbf{B} \cdot \mathrm{d} \mathbf{l}=\mu_0 i_{\mathrm{c}}+\mu_0 \varepsilon_0 \frac{\mathrm{~d} \phi_E}{\mathrm{~d} t}$
(Ampere-Maxwell Law)

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Maxwell's equations

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