Question

An electrostatic field is said to be conservative when:

• A. The divergence of the field is equal to zero
• B. The curl of the field is equal to zero
• C. The curl of the field is equal to $-\frac{\partial E}{\partial t^2}$
• D. The Laplacian of the field is equal to $\mu \epsilon \frac{{\partial }^{2}E}{\partial t^2}$

Answer 1

The correct option is B The curl of the field is equal to zero

Ans : (b)

An electrostatic field is said to be conservative when the closed line integral of the field is zero.
$\oint \overrightarrow{E}.\overrightarrow{dl}=0$

Stoke's theorem
${\oint }_c\overrightarrow{E}.\overrightarrow{dl}={\int }_s(▽\times \overrightarrow{E}).\overrightarrow{ds}$

So, $▽\times \overrightarrow{E}=0$