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Q. Two small beads having positive charges 3q and q are fixed at the opposite ends of a horizontal, insulating rod, extending from the origin to the point x = d, a third small charged bead is free to slide on the rod. At what position is the third bead in equilibrium? Can it be in stable equilibrium?
Q. The two spheres in the figure are charged. Each has a mass of 0.30 kg. The lower mass is rigidly attached to the floor, with a charge of -2.1 x 10-5 C. The mass above it is held to the ceiling with a string, whose tension is 1.8 N. The masses are 0.1 m apart. What is the charge on the upper sphere (and make sure you get the sign right)?
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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