physics 2212 question 5. A nonuniform electric field is directed along the x-axi

Question

physics 2212 question

5. 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 Ei and E2, at the ends of the cylindrical surface, have magnitudes of 6000 NIC and 1000 N/C respectively, and are directed as shown. What is the net electric flux passing through the cylindrical surface? y A A)-160 N m2/c C) 0.00 N m2/c E) +160 N m2ic B)-350 N m2/c D) +350 N -m2/c 0.20 m 0.80 m

Explanation / Answer

Flux through a surface = integral(E.da)
for unform field ove the surface it is = EA
E is magnitude of electric field, A is surface area.
For field lines entering the body, flux is taken as -ve and leaving the body as +ve.
Flux through left side of cylinder = - E1 A = - 6000 (pi 0.12) = -188.4
Flux through right side of cylinder = E2 A = 1000 (pi 0.12) = 31.4
net flux = -157 Nm2/C
Option A is nearest

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

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