Surface Object Integration

Surface Object Integration - Potential on axis of square...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Potential on axis of square The Problem: Given a r surface with charge density σ and edge length 2 L , find the electric potential at a point a distance z perpendicularly away from the center of the square. A Solution: Chop & Coordinates Slice plate into many thin rods of length 2 L . Choose x and y axes in the plane of the square and centered on it, with the y axis parallel to the thin rods. That way, the thin rods have width dx . The z axis passes through the point of interest. Contribution An arbitrary rod contributes a potential of 22 ln Ld L Vk λ ⎛⎞ ++ = ⎜⎟ +− ⎝⎠ , where d is the distance perpendicularly from the midpoint of the rod to the point of interest. In this case, d is slanted, connecting a point on the x axis with the point
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Ask a homework question - tutors are online