(Total 40 pts) Please provide brief answers to the following questions 1) (total 16 pts) Make a two dimensional sketch of the electric field lines and the equipotential lines of the following charge distributions in the xy plane and yz plane: a) a point charge ( 4 pts for x-y plane, 4 pts for y-z plane)b) an infinite long linear charge ( 4pts for xy plane, 4 pts for y-z plane) (a) (b) 2) (total 8 pts) Given the Electric field E=ax+2ay(V/m), please draw the electric field lines in cartesian coordinate (4 pts) and calculate the electric potential difference between P1(1,0,0) and P2(2,3,1)(4pts) 3) (total 16 pts) Please circle all the correct statements and correct all the wrong statements a) The gradient of a scalar field is a vector field. At each point in space, the vector field direction points to the direction of the maximum space rate of increase for the scalar field. The vector field magnitude is equal to the scalar field multiplying with a constant. b) The curl of electric field at any position in space is proportional to the charge density in the same position. c) According to the fundamental electrostatic postulate about the curl of electric field, we know that static electric fields are irrotational. d) A sphere with uniform surface charge (total charge Q) and point charge (-Q) in the center should only have non-zero electric field along the radial directions inside the spherical surface