hw16 - homework 16 – LEE, BENJAMIN – Due: Oct 11 2007,...

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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....
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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.

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hw16 - homework 16 – LEE, BENJAMIN – Due: Oct 11 2007,...

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