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 the cylindrical surface, 0.80m long and 0.20m in diameter, is aligned parallel to the x-axis. The electric fields E1, going into the left end of the cylinder surface, and E2, going out of the right end of the cylinder suface, have magnitudes of 9000 N/C and 5000 N/C repectively. What is the charge enclosed by the cylindrical surface and its direction?

Explanation / Answer

phiE = phi1 + phi2

= -E1 A + E2 A

= (-9000 + 5000) pi * 0.12

= -125.66 Nm2/c

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