Part of JMAG-01 — Magnetic Effects: Biot-Savart & Ampere's Law

Force Between Parallel Current-Carrying Wires

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Two long parallel wires separated by distance dd carrying currents I1I_1 and I2I_2: force per unit length F/l=μ0I1I2/(2πd)F/l = \mu_0 I_1 I_2/(2\pi d). Parallel currents (same direction) attract; antiparallel (opposite direction) repel. This is the basis for the definition of the ampere: 1 A is the current that produces a force of 2×1072 \times 10^{-7} N/m between two parallel wires 1 m apart. Physical explanation: each wire creates a field that exerts a force on the other wire via F=BILF = BIL.

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