State whether the following statement is true or false:

We say electrostatic field lines never form closed loops.

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True

False

answer is A.

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Detailed Solution

The given statement is true .
Concept: We use fundamental theory relating to the conservative field to solve this topic. An electric field line, as we know, displays the direction of the force on a little positive test charge. Because the test charge does not prefer to return to its origin, the field line does not form a closed loop.
A time-varying magnetic field may generate an electric field with a closed loop, which in turn can produce a magnetic field, and so on, culminating in electromagnetic wave propagation. However, electric field lines caused by static charges, by definition, begin with a positive charge and terminate with a negative charge, or end at infinity where a negative charge is assumed to exist.
Electric field lines begin (or diverge) from a positive charge and end (or converge) on a negative charge. To form a complete loop, the electric field lines must start and finish on the same charge, which is not feasible because electric field lines always flow from positive to negative.
The fundamental reason why the electrostatic field lines do not form a complete loop is that there is no electric field line within the charged body.
As a result, electrostatic field lines never form complete loops.
Hence, the given statement is true.

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