A short electric dipole has a dipole moment of 16 $$ \times $$ 10^-9 Cm. The electric potential due to the dipole at a point at a distance of 0.6 m from the centre of the dipole, situated on a line making an angle of $$60^\circ $$ with the dipole axis is :

$$\left( {{1 \over {4\pi {\varepsilon _0}}} = 9 \times {{10}^9}N{m^2}/{C^2}} \right)$$

The capacitance of a parallel plate capacitor with air as medium is 6$$\mu $$F. With the introduction of a dielectric medium, the capacitance become 30 $$\mu $$F The permittivity of the medium is :
$$\left( {{\varepsilon _0} = 8.85 \times {{10}^{ - 12}}{C^2}{N^{ - 1}}{m^{ - 2}}} \right)$$

In a certain region of space with volume 0.2 m³, the electric potential is found to be 5 V throughout. The magnitude of electric field in this region is :

A spherical conductor of radius 10 cm has a charge of 3.2 $$ \times $$ 10^-7 C distributed uniformly. That is the magnetude of electric field at a point 15 cm from the centre of the sphere?
$$\left( {{1 \over {4\pi {\varepsilon _0}}} = 9 \times {{10}^9}N{m^2}/{c^2}} \right)$$