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In the figure below, the cube is 42.4 cm on each edge. Four straight segments of wire-ab, bc, cd, and da-form a closed loop that carries a current I = 5.15 A in the direction shown. A uniform magnetic field of magnitude B = 0.022 T is in the positive y direction. Determine the magnetic force on each segment.
a. ab
b. bc
c. cd
d. da
(e) Explain how you could find the force exerted on the fourth of these segments from the forces on the other three, without further calculation involving the magnetic field.
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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