A nonuniform electric field is directed along the x-axis at all points in space.

Question

A nonuniform electric field is directed along the x-axis at all points in space. This magnitude of the field varies with x, but not with respect to y or z. The axis of a cylindrical surface, 0.80 m long and 0.20 m in diameter, is aligned parallel to the x-axis, as shown in the figure. The electric fields E_l and E_, at the ends of the cylindrical surface, have magnitudes of 3000 N/C and 1000 N/C respectively, and are directed as shown. What is the net electric flux passing through the cylindrical surface? A) -62 N middot m^2/C B) -94 N middot m^2/C C) 0.00 N middot m^2/C D) +62 N middot m^2/C E) +94 N middot m/C

Explanation / Answer

The net flux = Summation (E.A)

= -E1(pi x r^2) + E2(pi x r^2)

= pi x r^2 (E2 - E1)

= pi(0.20/2)^2 (1000 - 3000) = -62 N.m^2/C (ans) ->option A

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