An array comprises of two dipoles that are separated by a distance as shown in Figure Q2(a). If the dipoles are fed by currents of the same magnitude and phase (a = 1), (i) Calculate the normalized field pattern of the array. (ii) Identify the angles for which the minima and maxima of the pattern occurs. (iii) Plot the group pattern.

For time varying fields, the electric field is not conservative. Why? Explain withmathematical substantiations.

a)What is the magnitude of the electric field at a distance of 0.1 nm from a thorium nucleus? b)What is the magnitude of the force on an electron at that distance? c)Treating the electron classically, that is, as a point object that can move around the nucleus at reasonably slow speeds, what is the frequency of the electron's motion? d)Again treating the electron classically, how fast it it moving? e)What would the magnitude of the force be if the distance of the electron from the nucleus were doubled?

Calculate the potential energy of the interaction between two linear quadrupoles when they are collinear and their centres are separated by a distance r.