# 1.Define potentials. Write Maxwell’s equations in term of potentials. Discuss Green function method of solving wave equations.2.Derive and discuss electromagnetic field of a point charge in arbitrary motion. Derive and discuss total power radiated and its angular distribution by an an accelerated charge.3.Define vectors and tensors in 4-dimentional Minkoweskiin space-time. Define 4-current density, electromagnetic field tensor and its dual and derive Maxwell’s eq 1 uations in 4-dimensional covariant form.4.            Write down Maxwell’s equations. Show that the equation of continuity follows from Maxwell’s equations. Derive and discuss Poynting theorem and conservation law of energy and momentum for a system of charged particles and electromagnetic field

Aman Bansal
592 Points
10 years ago

Dear Richa,

### Maxwells equations in terms of vector potential

$\nabla\cdot\textbf{A} + \frac{1}{c^2} \frac{\partial \phi}{\partial t} = 0.$

Using the Lorenz gauge, Maxwells equations can be written compactly in terms of the magnetic vector potential A and the electric scalar potential Φ.

$\nabla^2\phi - \frac{1}{c^2}\frac{\partial^2 \phi}{\partial t^2} = - \rho/ \epsilon_0$
$\nabla^2\textbf{A} - \frac{1}{c^2}\frac{\partial^2 \textbf{A}}{\partial t^2} = - \mu_0 \textbf{J}$

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Aman Bansal