Electric Charges And Fields Mock Tests

Two point charges q₁ = +2 μC and q₂ = +8 μC are placed 6 cm apart in vacuum. The position on the line joining the charges where the electric potential is minimum is:

A thin conducting spherical shell of radius R has a charge Q uniformly distributed on its surface. The electric field at a distance r from the centre (r > R) is directed:

An electric dipole with dipole moment p = 4 × 10⁻⁹ C·m is aligned at an angle of 30° with a uniform electric field of magnitude 5 × 10⁴ N/C. The magnitude of the torque acting on the dipole is:

An electric dipole with dipole moment p⃗ is placed in a uniform electric field E⃗. The maximum torque experienced by the dipole occurs when the angle between p⃗ and E⃗ is:

Two identical small spheres each carrying charge q are suspended from a common point by two insulating strings of length l. If the mass of each sphere is m, the angle between the strings in equilibrium is θ. For small θ, the relationship between q and θ is:

A regular octahedral molecule has an identical charge +Q placed at each of its six vertices. The electric field at the centre of the octahedron is:

A spherical conductor of radius R has a charge Q on it. Another identical uncharged spherical conductor is brought into contact with it. After separation, the ratio of surface charge densities (ρ₁ : ρ₂) of the two conductors is:

An electric dipole of dipole moment p is placed in a non-uniform electric field where E increases along the direction of p. The dipole will experience: