Hi, maybe as you know ##\nabla. J = -\frac {\partial p} {\partial t}## where J is current density p is charge density.(adsbygoogle = window.adsbygoogle || []).push({});

But also we know current density flux outward the circuit is 0 because current density does not flow out of circuit an this actually volume integral of ##\nabla. J## is zero ( stokes theorem ). NOW here we say that ##\nabla. J## must be zero to make integral 0. But for some infinitesimal volume ##\nabla. J## may be +5, for another infinitesimal volume ##\nabla. J## may be -5 OR for some infinitesimal volume ##\nabla. J## may be +10 for another infinitesimal volume ##\nabla. J## may be -8 and for another infinitesimal volume ##\nabla. J## may be -2. As you see volume integral of ##\nabla. J## is zero in total (10+(-8+(-2)) or +5+(-5)). Could you express to me how the situation that for some infinitesimal volume ##\nabla. J## may be +10 for another infinitesimal volume ##\nabla. J## may be -8 and for another infinitesimal volume ##\nabla. J## may be -2 exists in CONTINUOUS LOOP CİRCUIT (NO CAPACITANCE)?? It seems mathematically valid but I can not imagine the reflect on real world I HAVE NOT COME ACROSS such a (continuous) loop circuit.....

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# I An interesting question about the divergence of a current density

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