17 сент. 2012 г. · The line integrals in a conservative field for close loops are always 0. hence by stokes theorem the curl of the field must be 0.

2 февр. 2023 г. · Hence by stokes theorem the surface integral of the curl should be zero. But how does that imply that the curl itself should be always zero?

29 нояб. 2017 г. · I understand that the curl of a conservative vector field is zero because the partial derivatives are equal to one another, so when we subtract them in the ...

17 июн. 2019 г. · A vector field with zero curl is called irrotational; it is definitely conservative if the domain is simply connected, but it might not be ...

4 авг. 2022 г. · (2) If you want to test for a conservative field, you can always try to use the curl. If the field is conservative, then the curl must be zero.

3 июн. 2015 г. · The curl of a conservative field is zero. All fields have to be conservative, because I cannot "make" energy. Why is the curl of B not zero?

3 нояб. 2014 г. · So if the field has path independence, any closed path should result in a zero integral. Curl is a measure of LOCAL tangential imbalance of the ...

2 февр. 2023 г. · Conservative vector fields are irrotational, i.e. their curls are zero. Conversely, it also turns out that vector fields that are irrotational ...

16 апр. 2022 г. · As such, there are no sources or sinkholes for it anywhere (a circle doesn't begin or end at any point), so the divergence is zero.

24 июн. 2015 г. · If curl is the zero vector, then the field is conservative. if the field is conservative and the line integral is a closed loop, the answer is 0 ...