6) A nonuniform electric field is directed along the x-axis at all points in spa

Question

6) 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 E1 and E2, at the ends of the cylindrical surface, have magnitudes of 9000 N/C and 5000 N/C respectively, and are directed as shown. (0 = 8.85 × 10-12 C2/N m2) The charge enclosed by the cylindrical surface is closest to   
6) 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 E1 and E2, at the ends of the cylindrical surface, have magnitudes of 9000 N/C and 5000 N/C respectively, and are directed as shown. (0 = 8.85 × 10-12 C2/N m2) The charge enclosed by the cylindrical surface is closest to   
6) 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 E1 and E2, at the ends of the cylindrical surface, have magnitudes of 9000 N/C and 5000 N/C respectively, and are directed as shown. (0 = 8.85 × 10-12 C2/N m2) The charge enclosed by the cylindrical surface is closest to   

Explanation / Answer

electric flux = E*A

here E is a electric field passing through the area A.

electric flux = E2*A - E1*A

electric flux = (pi*(d/2)^2)*(5000 - 9000) = ((22/7)*0.1^2)*(-4000) = - 125.7 N.m^2/C

Q = electric flux * e0

Q = - 125.7 * 8.85*10^(-12) = - 1.112 nC

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