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Physics2_Test2G_pg1 - Physics 1322 2nd Hour Quiz Benbrook...

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Unformatted text preview: March 27, 2005 Physics 1322 2nd Hour Quiz - Benbrook Namaww Easy Stufi' — 2 points each. Show work in space provided. ' 1. What is the torque on a dipole 33' in an electric field E" ? .4“: __> T '2 T/ x E 2 Write an equation that we refer to as Gauss’ Law. lira” 8 6-515 Pea _ 3. Write an equatiog‘that we refer to as Gauss' Divergence Theorem. 2:! lids: Sv-Vclv 22/ 4. What' IS the electric field at f" produced by a di ole 55’ located at 1‘3 ? 7) IL 1P!C(-t‘)(r"l E “A, E“ We. Irrrl lr—r'l3 5. Write out the gradient of f(X,Y, Z) = 3XYBZ2 . 3Y3i2f+ qu-‘F%LJ\+ GAY-Jig 6. Write the position vector 17" in terms of the spherical coordinates r , H , and 45 and the Cartesian unit vectors 3 , j J and k . F3: (S;L15(fis¢f <1- v'Sin’Su_u¢j 4— {COSQK 7. Compute the divergence of F'(X,Y, Z) 2 230(2) +3(Z3) . Vi 1 ax 8. What' re the curl of F from the previous problem? i 3 no E) 1A . _s l: _ -— 3 E 0 222 2— .22.. 4:2; .2" 42/2 $4252 9. Write the positiori vector 7' in terms of the cylindrical coordinates r , (35, and z and the Cartesian unit vectors '3, j , and k. r: rCosgfiL+rS' «'95 -‘ BK 10. What is the volume element in cylindrical coordinates? ' (Cit olfiol 7%; 11. What is the volume element in spherical coordinates? (1 g-M'a circledg’j 12. What is the first of Maxwell‘s four equations in vector difi'erential notation? _ .332 _ V95 ’ é- *— ) 13. What is the defining equation for electric potential. J. £3— a V; (me... lrr r'l ...
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