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1. State the relationship for Coulomb's inverse square law for the force between two point charges. State the name and unit for each quantity used in the relationship.
2. Two electrons are placed 1.5 nm apart. Calculate the electrostatic force acting on each electron.
3. The electrostatic repulsive force between two protons in a nucleus is 14 N. Calculate the separation between the protons.
4. A point charge of + 2.0 × 10-8 C is placed a distance of 2.0 mm from a point charge of -4.0 × 10-8 C.
(a) Calculate the electrostatic force between the charges.
(b) The distance between the same charges is adjusted until the force between the charges is 1.0 × 10-4 N.
(c) Calculate this new distance between the charges.
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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