#### 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]**

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