Coulomb's law, electric field and potential, Gauss's law, dielectrics.
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Q1 · Electrostatics (Class 12) · MEDIUM
Two point charges +2 μC and +8 μC are placed 30 cm apart in vacuum. At what distance from the +2 μC charge along the line joining the two charges will the electric field be zero?
Q2 · Electrostatics (Class 12) · MEDIUM
A parallel plate capacitor with air between the plates has a capacitance of 8 pF. What will be the capacitance if the distance between the plates is reduced to half and the space between them is filled with a substance of dielectric constant 6?
Q3 · Electrostatics (Class 12) · HARD
A uniformly charged sphere of radius R has a total charge Q. What is the electric field at a distance r = R/2 from the center of the sphere?
Q4 · Electrostatics (Class 12) · EASY
Two point charges of +3 μC and +5 μC are placed 20 cm apart in air. What is the magnitude of the electrostatic force between them? (k = 9 × 10⁹ N m²/C²)