Test2-FS04 - Phys 208 Theoretical Physics Test 2 (October...

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

View Full Document Right Arrow Icon
Phys 208 – Theoretical Physics – Test 2 (October 29, 2004) 1.(25 pts) Given that , ek x d x k ak ax = + sin( ) 22 0 determine the integral . xe kxdx ax 2 0 sin( ) 2.(25 pts) In the integral make the change of variables I xy ed x d y xy = + +− 2 0 0 2 1( ) . ux y v x y =− = 2 a) Determine the Jacobian J so that . dxdy J dudv = || b) Determine the limits of integration for u and v. c) Evaluate the integral. 3.(25 pts) The force acting on a moving particle in a magnetic field is given by G B , where m is the mass of the particle, q is the electric charge, and is G G G G Fm dv dt qv B == × () G v the velocity. Assume the magnetic field is in the z -direction, i.e., , and that the motion G BB z = ± is in the ( x, y ) plane. a) Give a reason as to why the velocity is perpendicular to the force. b) Show that the magnitude of the velocity, i.e. , , is a constant. G v b) Show that the magnitude of the force, i.e. , , is also constant. G F 4. (25 pts) a) Represent in a complex Fourier series. fx x x x = −<< << 02 0 10 1 01 2 b) Explicitly determine the coefficients
Background image of page 1

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

View Full DocumentRight Arrow Icon
Background 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 01/08/2011 for the course PHYS 208 taught by Professor J.peat during the Spring '10 term at Missouri S&T.

Page1 / 2

Test2-FS04 - Phys 208 Theoretical Physics Test 2 (October...

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