Three long parallel wires form the vertices of an equilateral triangle of side

PHYSICS · Single correct · AP · Physics C: Electricity and Magnetism · Magnetic Fields and Electromagnetism · Magnetic Fields and Electromagnetism

Problem

Three long parallel wires form the vertices of an equilateral triangle of side 4 cm4\,\text{cm}. Currents of 10 A10\,\text{A}, 5 A5\,\text{A} and 7 A7\,\text{A} flow along +z+z, +z+z and −z-z directions respectively through the three wires. A circular Amperian loop of radius 6 cm6\,\text{cm} is centred at the triangle’s centroid and lies in the plane of the triangle. What is the net current enclosed by this loop? (a) 22 A22\,\text{A} (b) 15 A15\,\text{A} (c) 8 A8\,\text{A} (d) 2 A2\,\text{A}

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