E2chalsoln - Phy sics 7B WS E2 Challenge Solution (rev....

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

View Full Document Right Arrow Icon
Physics 7B WS E2 Challenge Solution (rev. 1.0) Page 1 E-2 Challenge Problem - Solution Electric Field of a Dipole In this challenge problem we derive the form of the electric field very far from an electric dipole. Start with two charges, +q and -q, oriented along the z-direction in cylindrical coordinates and placed a distance d apart, centered on the origin. The dipole moment vector for this configuration of charges will be r p = qd ! z . We will find the electric field at a radial distance ρ from the axis and a distance z along the axis, in cylindrical coordinates. ( is used for the radial coordinate to distinguish it from the distance from the origin, r ) a) Call the vector pointing from the positive/negative charge to the point where we want to find the electric field r ± and the vector to the origin r . Write down what ! r ± (the unit vectors) and r (the magnitudes) are in terms of the cylindrical coordinates and the unit vectors ˆ r and ! z . We will first find r . This vector points from the origin to a point a radial distance from the z - axis and a height z up along the axis. Therefore, we can simply ‘follow’ the path that first takes us up a distance z to the point ( = 0, z ), and then radially out to the point ( , z ). We can make the two ‘legs’ of the path vectors and then add those vectors together to get the vector r .
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 11/19/2010 for the course LECTURE 1 taught by Professor Yildiz during the Fall '10 term at University of California, Berkeley.

Page1 / 4

E2chalsoln - Phy sics 7B WS E2 Challenge Solution (rev....

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