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The electric field generated by a changing magnetic field is not conservative. A conservative field is a field with the following features:

The steady state E field inside DC current carrying wires should be an example of a non conservative field. Any time-varying E field should also be non conservative. That said, the line integral of a non conservative field is still set equal to a potential difference between two spatial points, as it is done in electric circuits...Why? If the field is not conservative, then we should not be able to use the concept of scalar potential...

- the closed line integral is zero
- the line integral from point A to point B is the same no matter the path followed to go from A to B
- it is the (negative) gradient of a scalar potential field V

thanks,

fog37

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# Non conservative electric field and scalar potential V

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