Question

Which among the following does not represent Maxwell's equation?

• A. $\oint \vec{E}.\overrightarrow{dA}=\frac{q}{{\epsilon }_0}$
• B. $\oint \vec{B}.\overrightarrow{dA}=0$
• C. $\oint \vec{E}.\overrightarrow{dl}=\frac{-dB}{dt}$
• D. $\oint \vec{B}.\overrightarrow{dl}={\mu }_0{I}_C+{\mu }_0{\epsilon }_0\frac{d{\varphi }_E}{dt}$

Answer 1

Answer: (C)

Maxwell's equations are as follows
(i) $\oint \vec{E}.\overrightarrow{dA}=\frac{q}{{\epsilon }_0}$ (Gauss’s law of electricity)
(ii) $\oint \vec{B}.\overrightarrow{dA}=0$ (Gauss’s law of magnetism)
(iii) $\oint \vec{E}.\overrightarrow{dl}=-\frac{d{\varphi }_E}{dt}$ (Faraday’s law)
(iv) $\oint \vec{B}.\overrightarrow{dl}={\mu }_0{I}_C+{\mu }_0{\epsilon }_0\frac{d{\varphi }_E}{dt}$ (Ampere - Maxwell law)