oldhw 17 - nguyen (jmn727) oldhomework 17 Turner (59070)...

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nguyen (jmn727) – oldhomework 17 – Turner – (59070) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points An electron is in a uniForm magnetic feld B that is directed into the plane oF the page, as shown. v e B B B B When the electron is moving in the plane oF the page in the direction indicated by the arrow, the Force on the electron is directed 1. out oF the page. 2. toward the top oF the page. 3. toward the bottom oF the page. correct 4. toward the right 5. toward the leFt 6. into the page. Explanation: The Force on the electron is V F = q Vv × V B = e Vv × V B. The direction oF the Force is thus h F = h v × h B , pointing toward the bottom oF the page , us- ing right hand rule For h v × h B , and reversing the direction due to the negative charge on the electron. 002 10.0 points A particle with charge q and mass m is un- dergoing circular motion with speed v . At t = 0, the particle is moving along the nega- tive x axis in the plane perpendicular to the magnetic feld V B , which points in the positive z direction in the fgure below. x y z Vv V B ±ind the direction oF the instantaneous ac- celeration h a at t = 0 iF q is negative. 1. h a = ˆ k + ˆ i 2. h a = ˆ j 3. h a = ˆ k 4. h a = ˆ i 5. h a = ˆ k + ˆ i 6. h a = ˆ i + ˆ j 7. h a = ˆ k 8. h a = ˆ i 9. h a = ˆ j + ˆ k 10. h a = ˆ j correct Explanation: The particle is moving along the negative x -axis in this instant Vv = v ˆ i ; since it is moving in a circle, we need to talk about instantaneous direction. The Force F B is equal to q Vv × V B at all times. We know that V B is pointing in the z direction, so V B = B ˆ k , and thereFore V F B = q v ( ˆ i ) × B ˆ k
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nguyen (jmn727) – oldhomework 17 – Turner – (59070) 2 = q v B ( ˆ i × ˆ k ) = q v B ˆ j . The charge q is negative ( q = −| q | ) , so V F B = −| q | v B ˆ j = | q | v B ( ˆ j ) . All quantities are positive, so the actual di- rection in which V F B points is the negative y direction, or h a = ˆ j .
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This note was uploaded on 01/21/2010 for the course PHY 303L taught by Professor Turner during the Spring '08 term at University of Texas at Austin.

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oldhw 17 - nguyen (jmn727) oldhomework 17 Turner (59070)...

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