# hw16 - homework 16 – LEE BENJAMIN – Due 4:00 am 1...

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
This is the end of the preview. Sign up to access the rest of the 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 y-axis and z-axis enters a magnetic field (pointing towards the left-hand 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 x-direction, ˆ is in the y-direction, and ˆ k is in the z-direction. 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 Right-hand rule for cross-products. 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 y-axis 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 x-direction, ˆ is in the y-direction, and ˆ k is in the z-direction....
View Full Document

{[ snackBarMessage ]}

### Page1 / 5

hw16 - homework 16 – LEE BENJAMIN – Due 4:00 am 1...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online