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Physics Test 2 (Phuc)

# Physics Test 2 (Phuc) - Physics 1322 2nd Hour Quiz Benbrook...

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Unformatted text preview: _,March 10, 2009 Physics 1322 2nd Hour Quiz - Benbrook Name: m "3.133111 1. Short Answers (27 points) a) Deﬁne the electric ﬁeld. One simple sentencgmor \$11ation will sufﬁce. 1111 E’ F 11 %, b) W1 rte an expression for the electric ﬁeld at 7" due to a dipole 39 located at the origin gg‘1111111111 1;: 1 3“" .. P {11‘3ow me 1‘“ r“ c) What is the potential energy of a dipole p in an e1ect1ic ﬁeld E ? 0 , 1 ' d) Write 1‘)”Gauss’ Law and 2) ‘Gauss’Divergence Theorem. ‘ A1 I} % if; “1’ (\$613} 33; um? 9 g {3; §§\§ 11,2 8 Eg” g ?O&QW :1; Wk“, 11 §£\\5 3 11.11111 1 111111 _ 111111 33(1) Write the position vector 7" in terms of l) the cylindrical coordinates r , (/1 and ’7 ﬁg and the Cartesian unit vectors 2 , j , and k, and 2) the spherical coordinates 7 6 , and «T‘ (/> and the Cartesian unit vect01s '2, j and It 15 Dr:r(m1g{1asmd3\,1%k 3131?“: S‘nﬁ_(m1¢ 149,10 953 O /\ ..| (133 6 x f) What is the volume element in l.) spherical coordinates and 2) cylindrical coordinates? 5‘} \$1; 11; (”Magmgi dist dQ Q1?! 63% \E (““3 a: {15133;}; \$113,131 @313; a g) What is the ﬁrst of Maxwell’ 3 four equations in vector differential notation? 131", » . 1‘) What formula would you use to calenlate the effective capacitance Gaff of a series connection of N capacitors C ? B ,. , _ (:3 .- ‘ ' 1. 111113-111»131_1:1 121131114; 1 111,111. 1} 11,171? E1 11120 ‘. 1 O h ) What is the deﬁning equation fo1 electric potential 11 1111* if» ~13» ~11» \J 2:“: TE: W1W~ , i) Deﬁne capacitance, - - S‘s «- 11;.lW‘1 €911 k) What is the energy stored in a capacitor C carrying charge Q ? 1 , , 1 1) What is the energy density associated with the electric ﬁeld inn-dielectric? 11131 \Lw 1:15:31 Kﬁa {‘21 3—1. L 111) What is the ielation between the displacement D the polarization P , and the eleCtric ﬁdd 13? M1, W1. ms 1% “’33s iteﬁtifé w iitxﬁﬁgmgﬁ as \$131 «1 \$11 W 2E) a: Ewﬁmmig / 11) Define 1) the electiic susceptibility XE and 2) the relation between XE and the dielectric consta t WK 7 5A \$1 x? ttxet_,n_, l o) In terms of the podmization P , what is 1) the equivalent volume charge density pm; and 2) the equivalent surface chax ge density opal ? 3 .. - vex? - . ' 1. A 0 .1 39‘9- , 5” 0"“, 4“ P p) What is the relation betWeen the C1111er1t density j and the current I 7 “"1 1:121:12“ ‘1 5(1) Write Ohm’ s L'aW for‘A the Current density .. ¥ 1 . a 1') State KirchOE’s laws. _ “team 11111111 ﬁll E1111. 1%; :5: Mt; ” ‘1 1917113“ “R1111 ‘ in \i 111111111 1mg» “‘1”, Q a\ 5) What physical principal is the basis for. Kirchoﬁ’s ﬁrst law? A, l I A shunts ermmwtaa 5' ‘1 I H V l 8 t) What is the effective resistance of a parallel combination of N resistors with values an 1 2 “MW y _ , 2% ML” 13%“ » 11) Given V , the potential (1:013 across a resistor R , what is the power dissipated in the ‘ ('JHJ f \g‘q! ~ ‘ _ _ ' W“ mun-15‘] mm», W“ W > - a!» m g _ a v) What is the time constant of a series R —: C circuit? 1111C & resistor? 3 _A._ wrﬁeceehargad' V-W ~ WWWWWW a; :0 :00 ((1/7) Calculate the electric potential at (0, O, z) t? g. ‘ m V - a , pt V. k V, '3 .“ L ‘ ’«wwu;:>~<\,« « ﬁl‘ is. “El Q «1'.» ’2 7“<a a<r<2a 2a<7* . (25 points) 2: 0 ”plane is deﬁned by, the equation 4. A volumecharge ‘densi‘gy i’s_r;spe)giyﬁ_ed in'leQta11g111axt coogdinates_by p20} , -oo<z<—a =polzl/a , ~a<z<a :0 , » a<z<oo Find the electric ﬁeld as a function of z . (2-5 points) :3 63% max 3 a (1:. My» ﬁgtﬁcgﬁx «x? Q Kw m WWWWW “gm", [ *1.) mg», mﬁ‘g ‘3: m L mm! “gg § Q (i& 2% «1% m gag .mmmmwmm m @3619“ k m; *gfzam ~. ~ , W G“% “3" 9% E: 3,; «WWW 3:3 £31». 5. Find the currents [1 and [2 inthe circuit below. (25 points) :Wmfﬁm 34m x 3‘ 4:1 W W 1 “Q Q 1mg; Qméc 4 \lm T‘Whﬁﬁ‘} «a» QR! 3%; X {MKS} 4»- \ :1}; mm 4» QV m LZEW U1} 4;» «935 TIC) ...
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Physics Test 2 (Phuc) - Physics 1322 2nd Hour Quiz Benbrook...

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