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Magnetic field around closed path?

Three wires run in parallel, with the two outer wires carrying known currents, on the left 0.75A and on the right -0.55A. The line integral of the magnetic field H around the closed path encircling the wires is zero. What is the magnitude of the current in the middle conductor?

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  • 9 years ago
    Favorite Answer

    Amphere's law; The line integral of the magnetic field around a closed path is proportional to the "net" current crossing the surface enclosed by the path.

    Since your line integral is zero the net current crossing the enclosed area must be zero. So the third current is -.20A.

    In this context the negative sign refers to direction. So you have one .75A current going in one direction and two currents ,.55A & .20A going in the opposite direction.

  • ?
    Lv 4
    5 years ago

    artwork around a closed course for conservative fields are continuously 0, yet delivered approximately electric powered fields are no extra conservative (this replaced into maxwell's super contribution to his 4 equations). he extra a term to ampere's regulation which accounted for the displacement cutting-edge. at a similar time as that is a static field the closed loop vital E dot dl is generally 0 and then that is generally happening as Kirchhoff's rule.

  • 9 years ago

    This is not an astronomy question. Try the "physics" section.

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