Question

Consider the following two Maxwell's equations.

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

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

The electric fields $\overrightarrow{E}$, mentioned in both the equations, are -

• A. similar to each other.
• B. different from each other.
• C. conservative.
• D. non-conservative.

Answer 1

The correct option is B different from each other.

The electric field $\overrightarrow{E}$ in equation,

$\oint \overrightarrow{E}.d\overrightarrow{A}=\frac{q_{\text{in}}}{{ϵ}_0}$ is conservative in nature.

While, the electric field $\overrightarrow{E}$ in equation,

$\oint \overrightarrow{E}.d\overrightarrow{l}=-\frac{d{\varphi }_B}{dt}$ is non-conservative in nature.

Therefore, the electric fields $\overrightarrow{E}$, mentioned in both the equations, are different from each other.

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