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A conducting rod slides down between two frictionless vertical copper tracks at a constant speed of 5.3 m/s perpendicular to a 0.62-T magnetic field. The resistance of the rod and tracks is negligible. The rod maintains electrical contact with the tracks at all times and has a length of 1.7 m. A 0.64- resistor is attached between the tops of the tracks.
(a) What is the mass of the rod?
(b) Find the change in the gravitational potential energy that occurs in a time of 0.21 s.
(c) Find the electrical energy dissipated in the resistor in 0.21 s.
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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