Question

HA 3.4 Line integral and fluxes in Cartesian coordinates. [30 points) Assume that an electrostatic field defined in a region ? of space is given in Cartes an co by: naus (HA3.3) 1) (a) Calculate the line integral of E from point A(1,0,0) to point B(0,1,0) along the ori- (b) verify that the line integral of E along the oriented line ? in Fig. H 3.1 has the same 2) (a) Calculate the flux of B through the rectangle ACBO oriented along the z axis in (b) Calculate the flux of E through the triangle ABC oriented along the z axis in Fig. HA3.1 ented line ? in Fig. HA3T] [5 points] value as the integral in 1) (a). 5 points Fig. HA3.1 [5 points) [10 points] 3) Is E a legitimate field? Comment your results. [5 points) 2 ? r li,t,0)

Answer 1

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