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A hairpin configuration is formed of two semiinfinite straight wires that are 3.42 cm apart and joined by a semicircular piece of wire (whose radius must be 1.71 cm and whose center is at the origin of xyz-coordinates). The top straight wire is along the line y = 1.71 cm, and the bottom straight wire is along the line y = -1.71 cm; these two wires are in the left side (x < 0) of the xy-plane. The current in the hairpin is 5.43 A, and it is directed toward the right in the top wire, clockwise around the semicircle, and to the left in the bottom wire. Find the magnetic field at the origin of the coordinate system.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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