5. a) Suppose v = (2xz + 3y^2)ay + (4yz^2)az Check Stokes' theorem for the square surface shown in the figure. b) Consider the following arbitrary fields. Find out which of them can possibly represent electrostatic or magnetostatic field in free space. ( show your working and explain your answer) i) A = y cos ax ax + (y + e^-x)az ii) B = y^2zax + 2{x + 1}yzay – (x + 1)z^2az
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\[ \mathbf{v} = (2xz + 3y^2)\mathbf{a_y} + (4yz^2)\mathbf{a_z} \] The surface is a square in the \( xy \)-plane with vertices at \((0,0,0)\), \((1,0,0)\), \((1,1,0)\), and \((0,1,0)\). Show more…
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