Physics 325 Spring 2011 Problem Session 3 Solutions

Physics 325 Spring 2011 Problem Session 3 Solutions -...

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

View Full Document Right Arrow Icon

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

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

Unformatted text preview: Physics 325 Spring 2011 Discussion 3 February 7, 2011 Let us revisit the example of a charged particle (mass m , charge q ) in a uniform constant magnetic field ~ B = B z . This time, we use the cylindrical coordinates ( r,,z ) . (a) Write down the equations of motion in cylindrical components ( v r , v , and v z ). Start from ~v = v r r + v + v z z and take time derivative of both sides. Remember that both r and have non-zero time derivative. (b) Suppose the initial velocity is given, with v z = 0 at t = 0 . Without loss of generality, we can choose the origin of coordinates such that v r = 0 at t = 0 . Let v =- u at t = 0 . Even with this restriction, we still have a freedom to choose the value of r at t = 0 . What should we choose for r at t = 0 such that we have v r = 0 initially? (c) Solve for v r ( t ) and v ( t ) with the initial conditions from part (b)....
View Full Document

Page1 / 3

Physics 325 Spring 2011 Problem Session 3 Solutions -...

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