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Unformatted text preview: PH 132 SPRING 2005
HONIEWORK # 4 Assigned: 01/31/05 CEM'ZCLZ ¥?5f}{371§)1327’%?2)13u’)8_61CZE 7 (MA: LL!) manna; LWL T3§._..__.Wwf c—f'“. 50 SHEETS 22142 100 SHEETS
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given: initial pmmmo’r‘g ' =0
ﬁnal posh‘a‘m of Z, ' 2? )Work From 0 "'52 _
b)8how Hm eIede'e poknﬁal. 01" a charged sheaf is
V: Us ” (36'— )Z 0 2518 and Eq. 24 13 to show that the electric potential of an;
sheet of charge can be written V = VD — ((#230); where V
electric potential at the surface of the sheet and z is the pe'
ular distance from the sheet. (b) How much work is done
electric ﬁeld of the sheet as a small positive test charge go is from an initial position on the sheet to a ﬁnal position 101:
distance 2 from the sheet? Work time. £33 (in E/cdn’c Field, {er/hat Pokﬂh'a{ M NW"? N gag (mm sbcdafchmae‘ﬁ e5. 29x45 P.5?o)(§”;s{q+he q" a . ‘2; 6’2 2 ~ dp'rcdi‘m}
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22144 200 SHEETS 22h!" AMPAH e electric ﬁeld inside a nonconducting sphere 1'! charge spread uniformly throughout its volum
directed and has magnitude qr
4W80R3‘ 50‘) = Here q (positive or negative} is the total charge withi
and r is the distance from the sphere’s center. (a) TaL
the center of the sphere, ﬁnd the electric potential V
sphere. (b) What is the difference in electric potenti
point on the surface and the sphere‘s center? \ C CI ' ‘7 EM: 6:) V (r4 R)
mew warVCR) 
c) If” i >013 [(69) > W2),
or is VCR)>V(0),7 50 SHEETS 22.142 Ion mam
21144 200 SHEETS 22441 Q {5L . Fig. 2532, set V = 0 at and let the panicles have = +q and q; = —3q.
aware (in terms of ﬂu: 5819— I distance d] any point on ._
g” is (other than at inﬁnity) I : j __i_ch the net potential due to the q} . 92 ' _’ f2 : “36
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positive charge +Q uniformly distributed along one—quarter of
.l its circumferonce and a negative . '3} inﬁnity, {irks—at is tho 6 C C po
charge of —GQ uniformly distrib hemial (a) at the comer C of the _
' uted along the rest of the circum circle and (b) a: pomt P, Wthh 15 . a! ference (Fig. 2537). With V = Q on the central axis of the .aF ' ' ' ' ‘ . \ distance, 2 from the CCIHCI‘. Given: '90?” 6: O “5W4? Chﬂrjﬁz +6?
49mm 9 WW: Zn charge = '66?
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I+ is mm 110 do paﬂ b) 8.3+ lo '
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rod of length L and uniform pos._ the axis, at distance d from (mg: I J
itive charge Q lying on an x axis: __ end of Lherod. —
With v = 0 at igﬁnity. ﬁnd the _
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work required to set up the four '. tlaily mﬁmt
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and 15 cm, q1 = 5.0 pc‘ and
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tentiais (a) at corner A and (b) at
corner 3? (c) How much work is required to move a third chug 51x15».  q3 = +3.0 ,u.C from B to A along a diagonal of the rectanglg
(d) Does this Work increase or decrease the electric energy ,
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charged. You now connect the spheres with a long thin wire.
{a} How are the ﬁnal potentials V1 and V: of the spheres related?
03) What are the ﬁnal charges ql and g; on the spheres, in terms
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9 The electric potential difference between the gTound and a
and in a particular thunderstorm is 1.2 X 109 V. What is the magnitude of the change in the electric potential energy (in mul—
tiples of the electronvolt) of an electron that moves between the
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(1:) VC — VA, and (c) VG — vs? £153” _  .. t’
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placed anywhere between the two plates. (Neglect fringing}
(3) Find the electric ﬁeld at the position of the electron. (b) Whax
is the potential difference between the plates? ._._.......s . .._.u....m‘..mwnm—W__h_._.n.____wn__.__ . x y :la) Use the result of Problem 28 to ﬁnd the electric en: E, at point P1 in Fig. 2540. (Hint: First substitute"
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This note was uploaded on 11/04/2009 for the course PHYSICS PH13100 taught by Professor Dr.wick during the Spring '09 term at Clarkson University .
 Spring '09
 DR.WICK

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