The figure shows a Gaussian surface in the shape of a cube with edge length 2.10

Question

The figure shows a Gaussian surface in the shape of a cube with edge length 2.10 m. What are (a) the net flux through the surface and (b) the net charge denc enclosed by the surface if the electric field in the region is in the positive y direction and has a magnitude that is given by E 4.34y N/C? what are (c) the net flux and (d) net enclosed charge if the electric field is in the xy plane and has components Ex -4.64 N/C and Ey (8.29 +4.34y) N/C? (a)Number40.1927 Units N m 2/C 00000000003557 (c)Numbei Units! N·m^2/C (d) Number 40.1927

Explanation / Answer

a) Net flux = E*A = 4.34*2.1*(2.1^2) = 40.19 N.m^2/C

b) net flux = Qenc/epsilon

Qenc = net flux*epsilon = 40.19*8.854*10^-12 = 3.56*10^-10 C

c) we get same, net flux = 40.19 N.m^2/c

d) and, Qenc = 3.56*10^-10 C

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