The degree of intelligence of the law of Biot-Savart

The author shows that the law of Biot-Savart is capable of giving the magnetic flux density due to DC currents in complete circuits or segments of circuits. The charge accumulations at the ends of such segments are automatically accounted for in this law. In such cases, the law of Biot-Savart is equivalent to the complete form of Maxwell's equation with the displacement current included. It is concluded that the law of Biot-Savart is more generation and contains more information than is generally assumed.<
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