Line of Charge by Direct Integration

Step 0: Problem statement

Evaluate the electric field that arises from an infinite line of charge.

Step 1: Understand the geometry
Step 2: Span the charge distribution
Step 3: Evaluate the contribution from the infinitesimal charge element
Step 4: Exploit symmetry as appropriate
Step 5: Set up the integral
Step 6: Solve the integral
Step 7: The Result!

Comments or corrections are welcomed!

Last updated Feb. 24, 1998.
Copyright George Watson, Univ. of Delaware, 1997.