This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: homework 16 – LEE, BENJAMIN – Due: Oct 11 2007, 4:00 am 1 Question 1, chap 29, sect 1. part 1 of 1 10 points A positively charged particle moving at 45 ◦ angles to both the yaxis and zaxis enters a magnetic field (pointing towards the lefthand side of the page), as shown in the figure below. y z v × x vector B vector B + q Figure: ˆ ı is in the xdirection, ˆ is in the ydirection, and ˆ k is in the zdirection. What is the initial direction of deflection? 1. hatwide F = 1 √ 2 (+ˆ ı − ˆ ) 2. hatwide F = 1 √ 2 (+ˆ ı +ˆ ) 3. hatwide F = 1 √ 2 parenleftBig +ˆ − ˆ k parenrightBig 4. hatwide F = − ˆ ı 5. hatwide F = 1 √ 2 parenleftBig − ˆ + ˆ k parenrightBig 6. hatwide F = 1 √ 2 parenleftBig +ˆ ı − ˆ k parenrightBig 7. hatwide F = +ˆ ı correct 8. vector F = 0 ; no deflection 9. hatwide F = 1 √ 2 parenleftBig − ˆ ı + ˆ k parenrightBig 10. hatwide F = 1 √ 2 ( − ˆ ı +ˆ ) Explanation: Basic Concepts: Magnetic Force on a Charged Particle: vector F = qvectorv × vector B Righthand rule for crossproducts. hatwide F ≡ vector F bardbl vector F bardbl ; i.e. , a unit vector in the F direc tion. Solution: The force is vector F = qvectorv × vector B . vector B = B ( − ˆ ) , vectorv = 1 √ 2 v parenleftBig − ˆ + ˆ k parenrightBig , and q > , therefore , vector F = +  q  vectorv × vector B = +  q  1 √ 2 v B bracketleftBigparenleftBig − ˆ + ˆ k parenrightBig × ( − ˆ ) bracketrightBig = +  q  1 √ 2 v B (+ˆ ı ) hatwide F = +ˆ ı . This is the fifth of eight versions of the problem. Question 2, chap 29, sect 1. part 1 of 1 10 points A positively charged particle moving paral lel to the yaxis enters a magnetic field (point ing into of the page), as shown in the figure below. × × × × × × × × × × × × × × × × × × × × × × × y z v x vector B vector B + q Figure: ˆ ı is in the xdirection, ˆ is in the ydirection, and ˆ k is in the zdirection....
View
Full
Document
This note was uploaded on 04/07/2008 for the course PHY 303K taught by Professor Turner during the Fall '07 term at A.T. Still University.
 Fall '07
 Turner
 Charge, Work

Click to edit the document details