Find the surface charge density on the inner face of the outer conductor. Please

Question

Find the surface charge density on the inner face of the outer conductor. Please show all steps and work. Thank you

11. (12 points) A very long cylindrical wire is surrounded by two long hollow cylindrical conductors that are coaxial with the wire as shown in figure in cross- section. The charge per unit length on the central wire ISA = 5.00 C/m, the charge pe inner hollow conductor is 2 =-2.00 C/m and the charge per unit length on the outer hollow conductor is r unit length on the = 3.00 C/m·The radii as indicated in the figure are r,-0.50 cm, r,-1.00 cm, 1.50 cm, r4-2.00 cm, and rs 2.50 cm. Find the surface charge density on the inner face of the outer conductor (at rs). Treat all of the conductors as if they are infinitely long

Explanation / Answer

charge at surface at r4 = -1(lambda1 + lambda2)

       = - ( 5uC/m + -2uC/m) = - 3uC/m

surface area = (2pir4) L

for per meter L = 1m

surface charge density = -3 x 10^-6 / (2 x pi x 0.02^2)

     = 1.19 x 10^-3 C / m^2

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

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