The Curl

The curl of a vector function is the vector product of the del operator with a vector function:

where i,j,k are unit vectors in the x, y, z directions. It can also be expressed in determinant form:

Curl in cylindrical and sphericalcoordinate systems

Applications:London equation for superconductors
Index

Vector calculus
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Curl, Cylindrical

The curl in cylindrical polar coordinates, expressed in determinant form is:

Index

Vector calculus
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Curl, Spherical

The curl in spherical polar coordinates, expressed in determinant form is:

Index

Vector calculus
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