problem 1) Answer all the problems:
i) What do you understand by curl of a rector field? Give its physical significance.
ii) The temperature at any point changes according to the following relation : T=4x2+3y2–2z2
iii) Compute the value of grad T at point (1,2,3).
iv) Define Gauss’s divergence theorem.
v) Define Ampere’s circuital law.
vi) prepare down about electrical susceptibility and Atomic polarizability.
problem2) Giving the definition of divergence, derive its expression in Carterian Coordinate system.
problem3) Prove that Gauss’s law of electrostatics is valid for moving charge.
problem4) describe Biot-Sarart’s law and find out the expression for magnetic field due to long straight current carrying wire using it.