Question

An electrostatic is said to be conservative when

Answer 1

An electrostatics force is said to be conservative because its just similar to the gravitational force.

It also obeys inverse square law.

Answer 2

Complete 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

$− \frac{∂E}{∂ {t}^{2} }$

D The Laplacian of the field is equal to $μ \: ε \: \frac{{∂}^{2}E }{∂ {t}^{2} }$

Answer:

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

Explanation:

• An electrostatic field is said to be conservative when the closed line integral of the field is zero.
• $∮E.dl=0$
• According to stroke theorem $∮cE.dl=∫s(▽×E).ds$
• $So, ▽×E=0$
• Hence, the correct answer among all the options is option B The curl of the field is equal to zero.

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