Question

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

• A. $\oint\vec{E}.\overrightarrow{dA} = \frac{q}{\varepsilon_{0}}$
• B. $\oint\vec{B}.\overrightarrow{dA} = 0$
• C. $\oint \:\vec{E}.\overrightarrow{dl}\:=\:\frac{-dB}{dt}$
• D. $\oint \vec{B}.\overrightarrow{dl} = \mu_{0}I_{C} + \mu_{0}\varepsilon_{0}\frac{d\phi_{E}}{dt}$

Answer 1

Answer: (C)

Maxwell's equations are as follows
(i) $\oint\vec{E}.\overrightarrow{dA} = \frac{q}{\varepsilon_{0}}$ (Gauss’s law of electricity)
(ii) $\oint\vec{B}.\overrightarrow{dA} = 0$ (Gauss’s law of magnetism)
(iii) $\oint \vec{E}.\overrightarrow{dl} = -\frac{d\phi_{E}}{dt}$ (Faraday’s law)
(iv) $\oint \vec{B}.\overrightarrow{dl} = \mu_{0}I_{C} + \mu_{0}\varepsilon_{0}\frac{d\phi_{E}}{dt}$ (Ampere - Maxwell law)