The electric field is a conservative field. It means that * (a) Electric lines always make closed loops (b) Work done by external agency in moving a charge from one point to another in this field is always zero. (c) Work done by electric field in moving a charge from one point to another in this field depends on the path between these two points. (d) Work done by external force or electric force in moving a charge over any closed path in this field is always zero.
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Answer:
(d) option is a right answer
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The electric field is a conservative field this is because the work done to carry a test charge let say 'q' from any point A to point B in the electric field which is created by any charge Q does not depend upon the path followed by it.
- Whereas it is only depend upon the initial and the final position i.e. the line integral of an electric field along a closed path is zero it means that the work done is independent of the path and it only depends upon the initial and final position.
- That's why the electric field is known as the conservative field and it is a state function quantity so the correct option is (d).
- Here , in this question the option (a) & (b) are having with incomplete information individually .
- The option (c) is totally wrong as per the definition of conservative field and the properties of the electric field.
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