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# chp33_1 - PHY2061 R D Field The Magnetic Field Produced by...

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PHY2061 R. D. Field Department of Physics chp33_1.doc University of Florida The Magnetic Field Produced by a Current The Law of Biot-Savart: The magnetic field at the point P due to a charge dQ moving with speed V within a wire carrying a current I is given by dB KdQ c r V r r r = × 2 2 \$ where K = 8.99x10 9 Nm 2 /C 2 and c = 3x10 8 m/s ( speed of light in a vacuum ) . However, we know that I = dQ/dt and r r V dl d t = so that dQV Idl r r = and, dB kI r dl r r r = × 2 \$ ( Law of Biot-Savart ), where k = K/c 2 = 10
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