Electric Charges And Fields Mock Tests

A uniform electric field E is applied along the positive x-axis. A dipole is placed in this field with its dipole moment making an angle θ with the field direction. For stable equilibrium, θ should be:

Two point charges +4 μC and −2 μC are separated by a distance of 1 m in air. The distance from the +4 μC charge where the electric potential is zero 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 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:

Two identical dipoles each with dipole moment p are placed with their centres at distance d apart. The dipoles are oriented antiparallel (-p and +p along the same line). The torque on each dipole due to the other field at the position of the dipole is (assuming d is much greater than dipole size):

A point charge +Q is placed at the centre of a cube. The electric flux through one face of the cube is:

A spherical conductor of radius R has charge Q uniformly distributed on its surface. The electric field just inside the sphere at a distance r < R from the centre is:

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 experienced by the dipole is: