Electric charges and their conservation; Coulomb's law; superposition principle; electric field due to a point charge, dipole; electric field lines; electric flux; Gauss's law and its applications; electric potential; potential due to a point charge and dipole; equipotential surfaces; capacitance; series and parallel combinations of capacitors; energy stored in a capacitor.
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Q1 · Electrostatics · EASY
Two point charges +3 μC and -3 μC are placed 10 cm apart in air. What is the magnitude of the electric field at the midpoint of the line joining the two charges? (Take 1/(4πε₀) = 9 × 10⁹ N·m²/C²)
Q2 · Electrostatics · MEDIUM
A uniformly charged thin spherical shell of radius R has a total charge Q. What is the electric potential at a point P located at a distance r from the center, where r < R?
Q3 · Electrostatics · EASY
Three capacitors of capacitance 2 μF, 3 μF and 6 μF are connected in series across a 300 V supply. What is the charge on the 3 μF capacitor?
Q4 · Electrostatics · MEDIUM
A parallel plate capacitor with air between the plates has a capacitance of 8 pF. What is the capacitance when the separation between the plates is reduced to half and the space is filled with a dielectric of dielectric constant 4?
Q5 · Electrostatics · MEDIUM
An electric dipole with dipole moment 4 × 10⁻⁹ C·m is placed in a uniform electric field of magnitude 5 × 10⁴ N/C. The dipole makes an angle of 30° with the field direction. What is the magnitude of the torque acting on the dipole?