Three long straight wires run perpendicular to the page and carry steady currents:…

PHYSICS · Multi-part · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Magnetostatics · Magnetostatics

Electricity, Magnetism and Electromagnetism, Ch Ampère's law, magnetic flux and the shape of the magnetic field

Problem

Three long straight wires run perpendicular to the page and carry steady currents: wire 1 carries 9.0 A9.0\,\mathrm{A} into the page, wire 2 carries 4.0 A4.0\,\mathrm{A} out of the page and wire 3 carries 6.0 A6.0\,\mathrm{A} into the page. A closed loop drawn in the plane of the page encircles wires 1 and 2 only (wire 3 lies outside it) and is traversed clockwise, so that by the right-hand rule its positive normal points into the page. ((a)) Find the circulation ∮B⋅dl\oint \mathbf{B}\cdot d\mathbf{l} round this loop. ((b)) A flat circular coil of 120120 turns and radius 3.0 cm3.0\,\mathrm{cm} is placed in a uniform field of 0.25 T0.25\,\mathrm{T} with the plane of the coil at 25∘25^\circ to the field direction. Find the flux through one turn. ((c)) Find the flux linkage of that coil.

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