A2L Item 206

Goal: Reason regarding induced charges and fields

Source: 283-235 Induced charge in conductors

A positive charge per unit area σ is placed on a cylindrical
conductor of inner radius, r = a, and outer radius, r = b. A positive
charge per unit length, λ, is placed along the axis of the
cylinder. What is the charge density (charge per area) on the outer
surface?

  1. σ+λ/(2πa)
  2. σ-λ/(2πa)
  3. σ+λ/(2πb)
  4. σ-λ/(2πb)
  5. None of the above

Commentary:

Answer

(7) The biggest problem for students is finding the induced surface
charge density due to the line charge density.