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A particle is uncharged and is thrown vertically upward from groundlevel with a speed of 50.0 m/s. As aresult, it attains a maximum height h. The particle is then given a positive charge +q and reaches the samemaximum height h when thrown vertically upward with aspeed of 55.0 m/s. The electricpotential at the height h exceeds the electric potentialat ground level. Finally, the particle is given a negative charge-q. Ignoring air resistance, determine the speed withwhich the negatively charged particle must be thrown verticallyupward, so that it attains exactly the maximum height h. In all three situations, be sure to include the effect of gravity.
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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