The electric field at a point is:

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Always continuous

Continuous if there’s no charge at that point.

Discontinuous only if there’s a negative charge at that point.

Discontinuous if there’s a charge at that point.

answer is B.

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Detailed Solution

Concept: To answer this topic, we must first understand the basic notion of the electric field and its influence on the introduction of charges. When an electric field at a location remains unaffected by other charges at that place, it is said to be continuous.
An electric field is an area of space where an electric charge is subjected to a force. The direction of the electric field at a location in space corresponds to the direction that a positive test charge would travel if it were put at that position.
When there is no negative or positive charge in the neighborhood of a location, the electric field at that place is continuous. If a charged particle is placed in the course of an electric field line, it will begin to converge or diverge, destroying its continuity.
Option 1 is false because the electric field is not always continuous.
Option 2- If there is no charge at that place, the electric field is certainly continuous.
Option 3-No, even if there is a positive charge at that time, it can be discontinuous.
Option 4- Yes, because there is a charge at that moment, it is discontinuous.
Hence, the correct option is 2,4.

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