State Coulomb's law.

Define the electric field.

Write down an expression for the electric field $E$ at a field point P due to n charges.

Write down an expression for the electric field $E$ at a field point P due to a line charge ${}_L.$

What is the electric flux $,$ and how is it related to the charge Q $?$

What is the electric flux $,$ and how is it related to the charge Q $?$

What is the electric field density $D?$

State Gauss's law in differential and integral forms.

What is a suitable Gaussian surface for a point charge?

Give an example of Stoke's theorem and Green's theorem.

Define the potential difference $V$ and express it in terms of $E.$

Write down an expression for the electric field $V$ at a field point P due to n charges.

Write down an expression that relates $E$ to $V.$

Define an electric dipole and derive an expression relating it to $V.$

Write down an expression for the electric potential energy $W_E$ due to n charges and at a point.

Name all types of current.

What is the current density $J,$ and how is it related to the velocity $u?$

Derive an expression for the conductivity $$ of a material and relate it to the mobility $.$

State Ohm's law at a field point and derive it from the first principle.

What is polarization?

Derive the continuity equation.

What is the relaxation time for a given material?

What are the two boundary conditions for the $E$ at the interface of two media?

Derive Poisson's and Laplace's equations.

Express Laplace's equation in Cartesian, cylindrical, and spherical forms.