Electrostatics Mock Tests

A spherical conductor of radius 10 cm has a charge of 3.2 × 10⁻⁶ C distributed uniformly. The electric field at a point 5 cm from the centre is:

Two point charges q₁ = 2 × 10⁻⁶ C and q₂ = 3 × 10⁻⁶ C are separated by a distance of 0.1 m in vacuum. What is the electrostatic force between them? (Take k = 9 × 10⁹ N·m²/C²)

A solid non-conducting sphere of radius R has charge density ρ(r) = ρ₀·(1 - r/R). The electric field at distance r < R from centre is proportional to:

A point charge q is at the center of a cube. The electric flux through one face of the cube is:

An electric dipole with dipole moment p⃗ = pî is placed in an electric field E⃗ = E₀(1 + x/L)î where E₀ and L are constants. The magnitude of the net force and torque on the dipole are respectively:

A parallel plate capacitor with air between plates has capacitance C. A dielectric slab of constant K and thickness t = 2d/3 (where d is plate separation) is inserted. The new capacitance is:

A parallel plate capacitor has capacitance C in air. If a dielectric of constant K = 4 is inserted between the plates, the new capacitance will be:

A parallel plate capacitor with air between plates has capacitance C0. If a dielectric slab of constant K and thickness equal to half the plate separation is inserted, the new capacitance is: