Electric charges, Coulomb's law, electric field, dipoles, Gauss's law, potential, capacitance.
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Q1 · Electrostatics · MEDIUM
Two point charges +4 μC and -9 μC are placed 30 cm apart in air. At what distance from the +4 μC charge on the line joining the two charges will the electric field be zero?
Q2 · Electrostatics · EASY
A parallel plate capacitor has plate area 100 cm² and separation 2 mm. If the capacitor is charged to a potential difference of 200 V, what is the charge stored on each plate? (Take ε₀ = 8.85 × 10^-12 F/m)
Q3 · Electrostatics · MEDIUM
An electric dipole consists of two charges +q and -q separated by distance 2a. The dipole is placed in a uniform electric field E at angle 60° to the field direction. What is the magnitude of the torque acting on the dipole?
Q4 · Electrostatics · HARD
A hollow metallic sphere of radius 10 cm is given a charge of 5 μC. What is the electric potential at the center of the sphere? (Take k = 9 × 10^9 N·m²/C²)
Q5 · Electrostatics · MEDIUM
Two point charges +4 μC and -9 μC are placed 20 cm apart. At what distance from the +4 μC charge will the electric potential be zero on the line joining the two charges?