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 y or z. The axis of a cylinder surface, 0.80m long and 0.20 m in diameter, is aligned paralell to the x-axis. The electric fields E1 and E2, at the ends of the cylinderical surface, have magnitudes of 9000N/C and 500N?C respectively, and are directed as shown (8.85x10^-12C^2/Nm^2) The charge enclosed by the cylinder is closest to: a)-1.1nC b)1.0nC c)-2.4nC d)-4.8nC e)4.8nC

Explanation / Answer

answer is c) -2.4 nC
Given that diameter d=0.20m    the radius is r=0.10m Electric field at first end is E1=9000N/C electric field at the second end is E2=500N/C then the flux through the end caps of the cylinder is ?=(E2-E1)A     =-8500 (?r2)   =-8500 (?(0.10)2) from the defnition of Gauss law if q is the charge enclosed then ?=q/?o q=??o     =-8500 (?(0.10)2)(8.85 x 10-12)    =-2.4nC

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.