DAY 8 – DAW February

Pointing theorem; Vector and scalar potentials; Electromagnetic field tensor, covariance of Maxwell’s equations; Wave equations in isotropic dielectrics,

Questions:

Q 1. A region 1, $z<0$, has a dielectric material with $\epsilon_r=3.2$ and a region 2, $z>0$ has a dielectric material with $\epsilon_r=2.0$. Let the displacement vector in the region 1 be, $\vec D_1 = -30a_x+50a_y+70a_z nCm^{-2}$. Assume the interface charge density is zero. Find in the region 2, the $\vec D_2$ and $\vec P_2$, where $\vec P_2$ is the electric poliarization vector in the region 2. [20 marks]

Q 2. Find the vector potential due to a line segment from $x = a$to $x = b$ carrying a current $I$ at a point P which is at a distance $d$ from the line segment. [20 marks]

Video Solution at 11 pm