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Depends on whether a path integral or a normal integral is easier to determine.

Q: Where will you use ampere circuital law in preference to biot savart law?

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Depends on whether a path integral or a normal integral is easier to determine.

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Feynmans path integral formulation equations

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since the line integral depends on the two values upper & lower limits and the function to which we have to integrate. the values changes only when the upper & lower limits changes, whatever the path is.

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D. C. Khandekar has written:

'Path-integral methods and their applications' -- subject(s): Path integrals, Feynman integrals

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Path function: Their magnitudes depend on the path followed during a process as well as the end states. Work (W), heat (Q) are path functions.
The cyclic integral of a path function is non-zero. work and heat are path functions.

Point Function: They depend on the state only, and not on how a system reaches that state. All properties are point functions.
The cyclic integral of a point function is zero. properties are point functions, (ie pressure,volume,temperature and entropy).

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