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Unformatted text preview: PHYS 122 ' Exam II November 4, 2011
‘ Prof. S. M. Bhagat V Name;:Iﬁiﬂicézgiﬁi3‘};w 7 (Sign in ink, print in pencil) Notes i. . 1) There are four (4) problems in this exam. Please make sure that your copy has all of them.
2) Please Show your work indicating clearly what formula you used and what the symbols mean. Just writing the answer will not get you full credit. In stating
vectors give both magnitude and direction. ' ‘ 3) Write your answers on the sheet provided. 4) Do not forget to write the units 5) \DO not hesitate to ask for clariﬁcation at any time during the exam. You may buy
a formula at the cost of one point. ’ f t ‘41! Take Care! God Bless Yeti! Mass of proton m p = 1.6)610‘.27 kg
Mass of electron V me 1: 9x10‘31 kg Elementary Charge e = 1.6x10*19 C NO CALCULATORS! Prob] a Write down Gauss’s law for E  ﬁelds. (6) ‘1 2 all It . Cﬁmé/VfE/Q
3/ \W gt @wmrsﬁw (06* 4M” W
Z 5' 414" 1%; i435 . um ‘ Prob 1b ‘ Given a conducting sphere, if you wish to put a charge Q on it, where will Q
reside under stationary conditions? Why? (5) Um 4% gimm' 2mm?” C45 w, #424: we; lm‘le.
(tabt?) were” CE) 9: 5—K“ (jg/‘01” anva Prob 10 What is the direction of theg , ﬁeld on the surface of the sphere? Why?
‘ (5) Prob 1d Place the sphere with its center at r = 0. Show that the magnitude bfg on
 the surface is 1 Where 0' = 4 Q 2 is the charge density. ii 5 {A (10)
£0 7r r _E d, Wrwgep Pfob 2a Showthatthe Coulomb force (Kym/9L,” POI N T2) 1 N3.
F _ QIQZ f J [$0,245 957:: ML)! 1.4:
E“— ‘ { —» 471.80 r2 m is a céhservative force. (20) “ 4w
mm? @“W 1323 19, Hat«Q: U A [Ix/mpg g; m4!— W ‘9 \
44v; \l ~IW . Prob 2b Since F E is conservatii/e, one can deﬁne a potential energy PE and the ‘ ’ change in PE is given by APE = —FE A S
Why is there a negative sign on the right side of this equation? (5) Cxtn wags!“ . ’
{lav “C PWMML tau/k appnﬁmr
Lm i Wmhm We“. ME.)
(fun Leif aim VﬁQM ﬁg C233”
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hm,“§@ lag, L La
Q2 “MRVWJL‘W ‘1’? W dem
wfg A la Qt)
Law “We? 3
0 éwmxe it wowat Mag, (wan, Prob 3a In the circuit shown, which capacitor has (i) the most charge, (ii) the least '
charge? Why? (1 O) 5'0 law? 5‘9"“: fzxﬁ/ﬁ’sv Prob 3b _In the circuit shown, When the switch is closed, which resistor has the (i)
largest current, (ii) smallest current? Why? , . r (10) Prob 3c In an RC circuit, Why does the time constant depend onlboth R and C? _
r r < 7 ~   <5) Prob 4a What is the difference between an E ﬁeld and a g ﬁe1d? (5,5) \F ,
\ En,
“an? ‘ ' a 5% ﬁ%¢
. W%N MP ﬁg; ‘3 4’ we o '
may Prob 4b Shown is apoil of Width b and length I suspended vertically in a 3 —ﬁeld. How _
would you make it work like a motor? The coil is free to rotate about its vertioal axis”. (15) ...
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 Fall '11
 Bhagat
 Physics

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