What is closed loop line integral?

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Q. The closed loop line integral

\oint_{| z | = 5} \frac{z^{3} + z^{2} + 8}{z + 2} d z

evaluated counterclockwise, is

Q. Consider a vector field

\to A (\to r)

. The closed loop line integral

\oint \to A . d \to l

can be expressed as

Q. Assertion :An emf

\to E

is induced in a closed loop where magnetic flux is varied. The induced

\to E

is not a conservative field. Reason: The line integral

\to E \cdot d \to l

around the closed loop is nonzero.

Q. Assertion :An electric field

\to E

is induced in a closed loop where magnetic flux is varied.The induced

\to E

is not a conservative field Reason: The line integral

\to E . \to d l

around the closed loop is nonzero

Electric field lines never form closed loops as they are conservative in nature. Explain how? What is the link between being conservative and not forming closed loops?

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