Fields

[ousl]

Can any one please help me
I need to some questions following if any one do this I'll b very gratefull


Q1 An infinite plane that intercept x, y, and z axis respectively at -2, 4, and 6 contain uniform
charge density of 50 μC/m2.
(a) Derive the equation the above plane in terms of coordinates
(b) Determine the direction of the electric field caused by the charge distribution.
(c) Write an expression to the Electric field E.
(d) Determine the divergence and curl of the above E field.
(e) Comment on above results of Q1 (d).

Q2 Perform followings integral vector calculus operations
(a) Certain charge distribution is express by the Ps = 5xy2. Determine the charge enclosed by the
rectangular region shown in figure Q2.a. (http://i264.photobucket.com/albums/ii189/ousl/Figure.jpg)
(b) Verify Gauss’ divergence theorem for vector field specified by F = 5ax + y2ay – 2zxaz and
the unit cube shown in the figure Q2.b (http://i264.photobucket.com/albums/ii189/ousl/Figure.jpg)
(c) Verify Stroke’s theorem for vector field E = 2yax + 5xyay + 2(y+z)az for the surface shown
in figure Q2.a (http://i264.photobucket.com/albums/ii189/ousl/Figure.jpg) if the contour C is along the clock wise direction.