Ch0206 - Chapter 6 The Electric Potential Due to One or...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Chapter 6 The Electric Potential Due to One or More Point Charges 42 6 The Electric Potential Due to One or More Point Charges The electric potential due to a point charge is given by r q k = ϕ (6-1) where is the electric potential due to the point charge, k = 2 2 9 C Nm 10 99 8 × . is the Coulomb constant, q is the charge of the particle (the source charge, a.k.a. the point charge) causing the electric field for which the electric potential applies, and, is the distance that the point of interest is from the point charge. In the case of a non-uniform electric field (such as the electric field due to a point charge), the electric potential method for calculating the work done on a charged particle is much easier than direct application of the force-along-the-path times the length of the path. Suppose, for instance, a particle of charge q ′ is fixed at the origin and we need to find the work done by the electric field of that particle on a victim of charge q as the victim moves along the x axis from x 1 to x 2 . We can’t simply calculate the work as ) ( 1 2 x x F even though the force is in the same direction as the displacement, because the force F takes on a different value at every different point on the x axis from x = x 1 to x = x 2 . So, we need to do an integral: dx F d = W dx qE d = dx x q k q d 2 = = 2 1 2 x x dx x q k q d = 2 1 2 x x dx x q q k W
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/29/2012 for the course PHYS 227 taught by Professor Rabe during the Fall '08 term at Rutgers.

Page1 / 6

Ch0206 - Chapter 6 The Electric Potential Due to One or...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online