ECE 257 : Engineering Electromagnetics
Design Problems
Date of allotment:14/3/09 Date of Submission:20/3/09
1. Imagine that new and extraordinarily precise measurement have revealed an error in Coulomb’s law. The actual force of interaction between two point charges is found to be
F = (1/4πєo)q1q2/r2 (1+ r/λ)e -r/ λrˆ
Where λ is a new constant of nature(it has dimensions of length, and is a huge number – say half the radius of the known universe so that the correction is small,which is why no one noticed the discrepancy before).You are charged with the task of reformulating electrostatics to accommodate the new discovery. Assume the principle of superposition still holds.
(a) What is the electric field of a charge distribution.
(b) Does this electric field admits a scalar potential. Explain briefly how you reached your conclusion.
(c) Find the potential of a point charge q.
alqemic