What is the electric field at a distance r from an infinitely long line charge w

Practice Questions

Q1
What is the electric field at a distance r from an infinitely long line charge with linear charge density λ?
  1. λ/2πε₀r
  2. λ/4πε₀r²
  3. λ/ε₀r
  4. λ/2ε₀r²

Questions & Step-by-Step Solutions

What is the electric field at a distance r from an infinitely long line charge with linear charge density λ?
  • Step 1: Understand that an infinitely long line charge has a uniform charge distributed along its length.
  • Step 2: Identify the linear charge density, λ, which is the amount of charge per unit length.
  • Step 3: Recognize that the electric field (E) created by this line charge depends on the distance (r) from the line.
  • Step 4: Use the formula for the electric field due to an infinite line charge, which is E = λ / (2πε₀r).
  • Step 5: Note that ε₀ is the permittivity of free space, a constant that helps describe how electric fields behave in a vacuum.
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