What is the electric field at a distance d from an infinitely long charged wire

Practice Questions

Q1
What is the electric field at a distance d from an infinitely long charged wire with linear charge density λ?
  1. λ/(2πε₀d)
  2. λ/(4πε₀d²)
  3. λ/(2πε₀d²)
  4. 0

Questions & Step-by-Step Solutions

What is the electric field at a distance d from an infinitely long charged wire with linear charge density λ?
  • Step 1: Understand that we have an infinitely long wire that is charged. This means it has a charge distributed along its length.
  • Step 2: Identify the linear charge density, λ, which tells us how much charge is present per unit length of the wire.
  • Step 3: Recognize that we want to find the electric field (E) at a certain distance (d) from the wire.
  • Step 4: Recall the formula for the electric field due to an infinitely long charged wire, which is E = λ/(2πε₀d).
  • Step 5: In this formula, ε₀ is a constant called the permittivity of free space, which is a value that helps us calculate electric fields in vacuum.
  • Step 6: Plug in the values of λ (linear charge density) and d (distance from the wire) into the formula to find the electric field.
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