Test2-FS04

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

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

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

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

View Full Document
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
Ask a homework question - tutors are online