By saying that the electrostatic field is conservative, we do not mean that
(a) It is the gradient of a scalar potential.
(b) Its circulation is identically zero.
(c) Its curl is identically zero.
(d) The work done in a closed path inside the field is zero.
(e) The potential difference between any two points is zero.
Answer:-
As we know the electrostatic field is conservative, it means The potential difference between any two points is zero.
So option e is correct.
As we know the first branch has no resistance, the potential difference between the points is zero; so there is no charge will flow between the two locations, and all charges will choose the second channel, according to V=IR.
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