Question

Choose the correct answer from the alternatives given.
Which among the following does not represent Maxwell's equation?

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

Answer 1

The correct option is C $\varphi \stackrel{-}{E}.\stackrel{-}{-dl}=\frac{-dB}{dt}$

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