Answer the questions below. Assume that the ions are positively charged, that B1

Question

Answer the questions below. Assume that the ions are positively charged, that B1 points into the page, and B2 points out of page. Express your answer in terms of physical constants, sigma, V, r, |B1|, and |B2| as needed. Note that you will not have to use all of the quantities for each part.

(a) The q/m ratio selector is called a velocity selector because only ions with velocity of magnitude v0 pass un-deflected. Why is selecting the speed v0 equivalent to selecting a particular value of q/m Hint: Use conservation of energy.

(b) What speed is selected for a given magnetic field B1 and surface charge density magnitude sigma?

(c) Given your answer from (b), what is the ratio q/m for ions that have path radius r in the field B2.

Explanation / Answer

kinetic energy = Vq = 1/2 mv^2
v= sqrt(2Vq/m)
hence it is equivalent in selecting the q/m ratio.

b. for agiven B1 and sigma,
V=d/

R= mv/qB

q/m = v/ BR

v selected = sqrt( 2 d v/ BR)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.