Midterm 1_270_11 Problem 4 Solution

Midterm 1_270_11 Problem 4 Solution - v = e v F = m a = qvB...

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

View Full Document Right Arrow Icon
Name: Problem 4 : (15) A beam of charged particles enter into a region of magnetic field B moving with the same speed V along the x-axis and complete half a revolution as shown in the figure. The beam consists of two types of particles with the same charge q but one type of particles is heavier than the other. a. Are they all positively or negatively charged? Explain. (4) At the entrance to the B region v = ˆ e x v B = ˆ e z B F = q v × B = qvB [ ˆ e x × ( ˆ e z )] = qvB ˆ e y Force in positive y-direction if q positive. At all other locations force towards the center. Both positively charged particles b. If the mass of particles with diameter D 2 is m 2 and of those with diameter D 1 is m 1 , find the mass m 2 in terms of m 1 and other given variables. Which type particles are heavier? (4) After they entered the magnetic field region
Background image of page 1

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

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: v = e v F = m a = qvB [ e ( e z )] = qvB e r Central force mv 2 / r = qvB r = mv / qB Particle gyroradius proportional to m D 2 / D 1 = m 2 / m 1 m 2 = ( D 2 / D 1 ) m 1 m 2 is heavier and has a larger gyroradius D 2 D 1 x y v B c. If possible, find the magnitude (in terms of the given variables) and direction of an electric field that can make the whole beam go through the region in a straight line instead of the shown half-circles. If it is not possible, explain why not . (7) In order to move along the x-axis the magnetic force should be balanced by the electric force so that F = q [ E + v e x ( e z ) B ] = E = vB ( e x e z ) = vB e y...
View Full Document

This note was uploaded on 12/28/2011 for the course PHYSICS 270 taught by Professor Drake during the Fall '08 term at Maryland.

Page1 / 2

Midterm 1_270_11 Problem 4 Solution - v = e v F = m a = qvB...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online