DAY 2 – DAW February

Method of images and its applications; Potential and field due to a dipole, force and torque on a dipole in an external field;

Questions:

Q 1. A vertical oriented electric dipole having dipole moment $\vec p$ is kept at a height $h$ above an infinitely large horizontal conducting plate, which is grounded as shown in the diagram. Calculate the force between electric dipole and the conducting plate by the method of images. [15 marks]

Q 2. show that the interaction energy of two dipoles of moment  $\vec P_1$ and  $\vec P_2$ separated by displacement $\vec r$  is $U=\frac 1{4\pi\epsilon_0}\frac1{r^3}[\vec P_1.\vec P_2-3(\vec P_1.\hat r)(\vec P_2.\hat r)]$  assuming the expression for the field due to a dipole. [15 marks]

Video Solution at 11 pm