However, there is a closely related quantity called the current density, J, which is a vector, and J is in fact the more fundamentally important quantity. In general, the use of complex number techniq...However, there is a closely related quantity called the current density, J, which is a vector, and J is in fact the more fundamentally important quantity. In general, the use of complex number techniques to do an integral could result in a complex number, but that complex number would be a constant, which could be subsumed within the usual constant of integration.
