Section A
Q1.
(a) Determine the eigen vectors of the matrix \beginvmatrix -2 & 2 & -3 \\ 2 & 1 & -6 \\ -1 & -2 & 0 \endvmatrix Show that those eigen vectors are linearly independent.
(b) Discuss superconductivity, superconducting materials and their applications.
(c) Find the force with which the plates of a parallel-plate capacitor attract each other. Also determine the pressure on the surface of the plate due to the field.
(d) Find the z parameters of the network shown in the figure. Is the network reciprocal? If so why? Assume the operational amplifier is ideal.
(e) Volume charge density is the same as the divergence of the electric flux density. Using Gauss's law, derive equations to prove it.