Coulomb's law, electric field, potential, Gauss's law and capacitance.
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Q1 · Gauss's Law · EASY
A conducting sphere of radius R carries a charge Q uniformly distributed over its surface. What is the electric field at a distance r from the center of the sphere where r < R?
Q2 · Capacitance · MEDIUM
A parallel plate capacitor with air between the plates has capacitance C. A dielectric slab of dielectric constant K and thickness equal to half the separation between the plates is introduced between the plates. What is the new capacitance?
Q3 · Electric Field and Potential · MEDIUM
Two point charges +q and -q are placed at a distance 2a apart. What is the electric field at a point on the perpendicular bisector of the line joining the charges at a distance x from the midpoint (where x >> a)?
Q4 · Capacitance · EASY
A parallel plate capacitor with plate area A and separation d is filled with a dielectric of dielectric constant K. What is the capacitance of this capacitor?
Q5 · Capacitance · MEDIUM
A parallel plate capacitor is charged to a potential difference V and then disconnected from the battery. If the separation between the plates is doubled, what happens to the energy stored in the capacitor?