Calculate the electrostatic force and gravitational force between the proton and the electron in a hydrogen atom. They are separated by a distance of 5.3 x 10^–11 m. The magnitude of charges on the electron and proton are 1.6 x 10^–19 C. Mass of the electron is m_e = 9.1 x 10^–31 kg and mass of proton is m_p = 1.6 x 10^–27 kg.

Consider four equal charges q₁, q₂, q₃ and q₄ = q = +1 μC located at four different points on a circle of radius 1m, as shown in the figure. Calculate the total force acting on the charge q₁ due to all the other charges.

Obtain the expression for capacitance for a parallel plate capacitor.

Obtain the expression for energy stored in the parallel plate capacitor.

Explain in detail the effect of a dielectric placed in a parallel plate capacitor.

Deduce an expression for the electric field due to the system of point charges.

Define potential difference and derive.

Derive the expressions for the potential energy of a system of point charges.

Deduce electric flus for closed surfaces.

Write the special features of Gauss law.