Conduccion Problemas Cap.2 Hernandez-Lopez-Karen-Meritxell

 

8.4 Sg barga cstä cgmcrrdla par pdrclcs bcmbds (lc dlcgtra bdmod diucrd) lc 2 pj` lc jdlrojja rcirdmtdroa lc mdajåg, 9 pj` lc jdlrojja lc mdajåg dosjdgtc, y 0 pj` lc jdlrojja lc drmojjd rcirdmtdrjd.±Muäjcs jd pïrlold lc mdjar  par poc mudlrdla lc pdrcl mudgla cj ogtcroar lcj barga sc edgtocgc d 88>>¾I y cj cxtcroar 8>>¾I1 k (H\S/(b)(poc8)(I/poc) @rasar (pj`)

Jg @rasar(poc)

^drcl

\cepcrdturd(¾I)

Jdlrojja rcidmtdroa lc mdajog

=?8

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Jdlrojja rcidmtdroa lc mdajog

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Jdlrojja lc mdajog dosjdgtc

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Jdlrojja lc mdajog dosjdgtc

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Jdlrojja lc drmojjd rcidmtarod

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Jdlrojja lc drmojjd rcidmtarod

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8338

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Jdlrojjja lc drmojjd rcidmtdrod Maglomoagcs ogomodjcs \o \c

Jdlrojja rcidmtdroa lc mdajog

]upasomoag 88>> 8>>

\4 \8

\cepcrdturd pdrd mdld jdlrojja

Maglumvoldl

443.>>> >.4=

4?0.09

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Jdlrojja lc mdajog dosjdgtc

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Maglumtvoldl Ys \cepcrdurd 4.8

i(x) 5 >.>?30=0=828?933? xW>.=>3>8>=>4>? X¸ 5 >.?2=0?

4

>.2

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Jdlrojja rcidmt Jogcdr Jog cdr (Jdl (Jdlroj rojjj mdajog ) Jdlrojja lc md Jogcdr Jog cdr (Jdl (Jdlroj rojjj dosjdgtc) Jdlrojja lc d r ^awcr ^a wcr (Jd (Jdlr lrojj ojj rcidmtdrod)

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8.8 Jd pdrcl lc ug barga magsostc cg ugd scroc lc 0 pj` lc jdlrojja rcirdmtdroa lc mdajåg, 9 pj` lc jdlrojja lc mdajåg dosjdgtc, y suiomocgtc suiomocgtc jdlrojja lc drmojjd rcirdmtdrod pdrd rclumor jds pcrlolds lc mdjar d 4>> 4> > Htu/(b)(poc1) mudgla jds tcepcrdturds lcj ogtcroar y lcj cxtcroar sag lc 4 3>>¾I y 4>> ¾I, rcspcmtovdecgtc. ±Tuï `rasar lc jdlrojja lc drmojjd rcirdmtdrod lchcrä usdrsc1 ]o sc lcfd ugd idfd lc dorc dorc lc j/2 pj` lc `rucsa cgtrc cj jdlrojja jdlrojja dosjdgtc y cj jdlrojja lc drmojjd rcirdmtdrod sog quc csta dicmtc su sapartc cstrumturdj, ±quï `rasar lc jdlrojja dosjdgtc sc rcqucrorä1

^drcl

Jg \cepcrdurd(¾ k (H\S/(b)(poc8)(I/poc) @rasar (pj`) @rasar(poc) I)

Jdlrojja rcidmtdroa lc mdajog

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Jdlrojja lc mdajog dosjdgtc Jdlrojja lc mdajog dosjdgtc

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Jdlrojja lc drmojjd rcidmtarod

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Maglomoagcs ogomodjcs \o(¾I) \c(¾I)

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]upasomoag 43>> 4>>

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?>8.4 3>4.> >.4>

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Jdlrojja lc drmojjd rcidmtarod

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Jdlrojja lc drmojjd rcidmtarod

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Maglumtvoldl Ys \cepcrdurd

i(x) 5 >.>?30=0=828?933? xW>.=>3>8>=>4>? X¸ 5 >.?2=0?

Jdlrojja rcidmtdroja lc mdajog Jogcdr (Jdlrojja rcidmtdroja lc mdajog ) Jdlrojja lc mdajog dosjdgtc Jogcdr (Jdlrojja lc mdajog dosjdgtc) Jdlrojja lc drmojjd rcidmtdrod ^awcr (Jdlrojja lc drmojjd rcidmtdrod)

 

i(x) 5 ?.40>?40>?3 ?.40>?40>?3 x + >.>98=09>92=09>92 >.>98=09>92=09>92 X¸ 5 4 i(x) 5 9.83C->3 x + >.>833 >

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\cepcrdturd (¾I)

cj `rasar lc jd pdrcl lcj jdlrojja lc drmojjd rcidmtdrod cgc quc scr lc 8.8>2 poc

 

8338

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]o sc lcfd ugd idfd lc dorc lc j/2 pj` lc `rucsa cgtrc cj jdlrojja jdlrojja dosjdgtc y cj jdlrojja lc drmojjd rcirdmtdrod sog quc csta dicmtc su sapartc cstrumturdj, ±quï ± quï  `rasar lc jdlrojja dosjdgtc sc rcqucrorä1

^drcl

\cepcrdurd(¾I)  H\S/(b)(poc8)(I/p @rasar (pj`)

Jg @rasar(poc)

Jdlrojja lc rcidmtdroa mdajog

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Jdlrojja lc drmojjd rcidmtarod

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Jdlrojjja lc drmojjd rcidmtdrod

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Dorc Dorc Dorc Dorc

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Maglomoagcs ogomodjcs \o(¾I) \c(¾I)

4.

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Jdlrojjja drmojjdlc rcidmtdrod

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Maglumtvoldl Ys \cepcrdurd \cepc rdurd 8

4

i(x) 5 >.>?30=0=828?933? xW>.=>3>8>=>4>? X¸ 5 >.?2=0?

2

Jdlrojja rcidmtdroja lc mdajog Jogcdr (Jdlrojja rcidmtdroja lc mdajog ) Jdlrojja lc mdajog dosjdgtc Jogcdr (Jdlrojja lc mdajog dosjdgtc) Jdlrojja lc drmojjd rcidmtdrod ^awcr (Jdlrojja lc drmojjd rcidmtdrod) Dorc ^ajygaeodj (Dorc)

 

9

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8

i(x) 5 ?.40>?40>?3 x + >.>98=09>92=09>92 X¸ 5 4

i(x) 5 9.83C->3 x + >.>833 X¸ 5 4 > i(x) 5 ∘ =.>2929? x¸ + 8.3>29293 x + >.>4=42>=?3>94082 > 3>> 4>>> 43>> 8>>> 83>> =>>> X¸ 5 >.????>2?82 >.????>2?82 \cepcrdturd (¾I)

@rasar lc jd pdrcl lc mdajog dosjdgc cs lc >..3). Jas jdlrojjas lc ed`gcsotd ga puclcg rcsostor ugd tcepcrdturd edyar lc 43>> ¾I, y jas jdlrojjas maeugcs ga edyar lc 9>>¾I. ±Tuï `rasar  lc pdrcl ldrä ugd pïrlold lc mdjar quc ga cxmcld d jas 4 3>> Htu/(b)(poc8) mudgla jds tcepcrdturds cg jds mdrds cxtrceds sag lc 8 3>> y 8>>¾I, 8>>¾I, rcspcmtovdecgtc1

^drcl

Jg \cepcrdur k (H\S/(b)(poc8)(I/poc) @rasar (pj`) @rasar(poc) d(¾I)

Jdlrojja dj mraea =8%

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Jdlrojja lc ed`gcsotd

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Jdlrojja rcirdmtdroa maeug

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Maglomoagcs ogomodjcs \o(¾I) \c(¾I)

Jdlrojja dj mraea =8%

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4.

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]upasomoag 83>> 8>>

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4=3>.> 3.>

\cepcrdtur d pdrd mdld jdlrojja

Maglumvoldl

Ijux lc mdjar

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]c mags magsol olcr crd d ug ug 4 4>% >% ecg ecg

 

Mbdrt \otjc 3 i(x) 5 4.=3>343?>2938?9C->0 x¸ ∘ >.>>>?9=>>8??42?894?00 x + >.39>4=03

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Cj `rasar lc jds pdrclcs cg poc pdrd quc muepjdg jds maglomoagcs gcmcsdrods sag jds so`uocgcs >.9,>.?0< y >.4== rcspcmtvdecgc rcspcmtvdecgc

 

r lc d jds tcepcrdturds sajomotdlds par garedvoldl

 

8.>¾I y jd cxtcroar d 4>> ¾I, ¾I, ±Muäj cs jd pïrlold lc mdjar  par poc mudlrdla lc supcriomoc cxtcrgd lcj tuha1 Edcrodj O^]

Lodecra (p (pj`) Lodecra (p (poc) Jag`oul (p (poc) Mclujd (pj`) Mclujd (poc) 9.>>> >.3>> 4.>>> 9.983 >.338

\cepcrdurd \cepcrdurd ]upasomoag lc \4 ogccroar (¾I) cxcroar (¾I) (¾I)

3>>

Xcsosocgmods

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Maglumtvoldl \cepcrdurd k5H\S/(b)(poc8) (¾I) (¾I/poc)

]upasomag \8 (¾I)

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4¾I. ±MuäO cs jd cmudmoýg pdrd cj ijufa lc mdjar1 Mdjmujc jd iu`d lc mdjar bdmod cj tuha y cj duecgta lc tcepcrdturd lcj ijufa cg 9> pocs lc jag`otul lc tuha

mcjlujd O^] 8 pj`

lodectra cxtcoar (pj`) 8.=2>

lodectra lodectra lodectra ogtcroar ogtcroar (pj`) cxtcoar (poc) (poc) 8.>90

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maglumvoldl `rasar (pj`) `rasar (poc) lodectra >.>8> >.3>> >.>.828

\ ogt ogtcr croa oarr ((¾I ¾I))

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q ]djeucrd 83% @dsta jh/b q par 9> pocs Mp \8

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Ijufa lc mdjar par poc jogcdj

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Mdjar scgsohjc

5eMp(\8∘\s) \85/eMp+\s

Duecgta lc tcepcrdturd

 

8.0. Sg tuha lc dmcra lc < pj` lc `rucsa quc maglumc vdpar d ¾I sc rcmuhrc mag 4 pj` lc kdpak rcmuhocrta mag ugd pj` lc ed`gcsotd dpjomdld maea cgfdrrc. Cj dorc cxtcroar cstä d 0>¾I. ±Muäj cs jd pïrlold lc mdjar lcj tuha par poc jogcdj1

Mclujd

Mag

Lodectra

Lodectra cxtcroar (poc)

cxtcroar (pj`) < pj`

8.3

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8

Maglumvoldl k5H\S/(b) (poc8)(¾I/poc)

\ (¾I) Ed`cgcsotd dpjomdld maea cgfdrrc

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8.8

Ed`cgcsotd dpjomdld maea cgfdrrc

maglumvoldl ed`cgcsotd

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\ed`gcsotd-\d (¾I)

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Ed`cgcsotd dpjomdld maea cgfdrrc Ed`cgcsotd dpjomdld maea cgfdrrc

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umvoldl umv oldl lc Ed`cgcsotd Ed`cgcsotd Xcsosocgmods

Maglumtvoldl k5H\S/(b)(poc8)(¾I/poc)

 

3>343?>2938?9C->0 3>343?>2938?9C>0 x¸ ∘ >.>>>?9= 8.>>

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@rasar (pj (pj`) @rasasr(poc)

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q5bQd Ltatdj(\ed`cgcsotd∘\d)

Jd pcrlold lc mdjar lcj tuha par poc jogcdj cs lc 440.?29

 

8.2. Sgd tuhcrod lc = pj` O^] maglumc vdpar lcslc jd mcgtrdj lc iucrzd d jd pjdgtd lc pramcsa d ugd vcjamoldl jogcdj lc 2 >>> pocs/eog. Cj vdpar cstä d =>> jh/pj`8, `, y jd dteýsicrd d 0>¾I. ±uï parmcgtdfc lcj ufa tatdj lc mdjar sc pocrlc par cj tuha lcsmuhocrta par 4 >>> pocs lc tuhcråd1 ]o cj tuha sc rcmuhrc mag jd eotdl lcj `rucsa lc kdpak y jd atrd eotdl mag dshcsta, ±muäj scrä cj `rasar tatdj lcj dosjdgtc quc rcluzmd jd pïrlold  lc mdjar d 8% 8 % lc jd pïrlold lc mdjar lcj tuha lcsmuhocrta1

lodectra ogtcrga(pj`)

mclujd = pj`

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lodectra cxtcrga(pj`)

lodectra ogtcrga(poc)

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\cep dteasicromd (¾I)

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dshcsta tcepcrdturd(¾I)

lodectra cxtcrga(poc)

maglumvoldl =8 >.>? =8 >.>20 848 >.444 =?8 >.48 038 >.48?

tcepcrdturd(¾I)

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i(x) 5 >.>4890=42943>44= >.>4890=42943>44= jg(x) + >.>4= X¸ 5 >.??34>=08

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q4 (Htu/b*) q8 (Htu/b*) q= (Htu/b*)

4=.4=2 4=.4=2 4=.4=2

Iugmoagg ahcfcva qQ45(8kQ4)/(8.=ja` 〙 (L 【 Q8/LQ4))(\Q4∘\  Q8/LQ4))(\Q4∘\Q8) Q8) rcstrommoag

q5bQd Ltatdj(∘\d)

 

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