Question

Which of the following is not a Maxwell's equation?

• A. $\oint \overrightarrow{B}.d\overrightarrow{A}=0$
• B. $\oint \overrightarrow{E}.d\overrightarrow{A}=\frac{q_{\text{in}}}{{ϵ}_0}$
• C. $\oint \overrightarrow{E}.d\overrightarrow{l}=-\frac{d{\varphi }_B}{dt}$
• D. $\oint \overrightarrow{E}.d\overrightarrow{l}=V$

Answer 1

The correct option is D $\oint \overrightarrow{E}.d\overrightarrow{l}=V$

We know that, the four Maxwell's equations are -

$\left(i\right)$ $\oint \overrightarrow{B}.d\overrightarrow{A}=0$

$\left(ii\right)$ $\oint \overrightarrow{E}.d\overrightarrow{A}=\frac{q_{\text{in}}}{{ϵ}_0}$

$\left(iii\right)$ $\oint \overrightarrow{E}.d\overrightarrow{l}=-\frac{d{\varphi }_B}{dt}$

$\left(iv\right)$ $\oint \overrightarrow{B}.\overrightarrow{dl}={\mu }_0(i_c+{ϵ}_0\frac{d{\varphi }_E}{dt})$

Hence, option $\left(D\right)$ is the correct answer.