Ejercicios Juan

 

88.?3 In ie kcrkuctj bi eh ocfurh 8. h) ºKuèe is ie ohktjr bi pjtinkch: `) ºKuèe is eh pjtinkch prjmibcj bcscphbh: k) ºKuèe is ie vhejr bi eh khphkcthnkch qui bhrè pjr  risuethbj un ohktjr bi pjtinkch uncthrcj he kjnikthrsi h eh khrfh:

Ocfurh 8. Iairkckcj 88.?3.

[jeukcûn1 h)

ºKuèe is ie ohktjr bi pjtinkch:

Q =87 + A 80 Σ=89.?0 ≮ 97.83 · Σ  O  W= kjs( 97.83 · )=7.?2 Hbiehntj `)

ºKuèe is eh pjtinkch prjmibcj bcscphbh: 8

0

∖_ rms 0 [= º   = Q 

0

 

(807 ) =2?7.32 ≮ 97.83 · _H 0∖ (89.?0 ≮∐97.83 · )

[= 039.88+ A  ;92.74   ;92.74 _H  W ( t ) =039.88 V  k) ºKuèe is ie vhejr bi eh khphkcthnkch qui bhrè pjr  risuethbj un ohktjr bi pjtinkch uncthrcj he kjnikthrsi h eh khrfh:

K =

  XK  w∖_ rms

0

=

  ;92.74

(;66 ) ( 807 )

0

=?9.00 εO 

88.67 Ynh khrfh bi 447 _H h 007 _ y 97 Dz tcini un ohktjr bi pjtinkch htrhshbh bi 7.4. ºXuã vhejr  bi khphkcthnkch in phrheiej kjrrifcrè ie ohktjr bi pjtinkch bi eh khrfh phrh hkirkhrej h eh uncbhb:

[= 447 _H ,_ =007 _ rms , o  =97 Dz , O  W =7.4 Htrhshbj ∐8 7.4 kjs

7.4  W 8

 O  =

8

 Htrhshbj←δ =

(

;?.46

)=

·

 

∐8

 O  W 0=8 ←δ 0=kjs

(8)= 7 ·

XK = [∖scn ( δ8 ) =( 447 )∖ scn (;?.46 · ) =904 _HP K =

  XK  w∖_ rms

0

=

 

904

(; 82.89 82.89) ( 007 )

0

=;2.60 εO 

88.68 Rris khrfhs si kjnikthn in phrheiej kjn unh ouinti bi 807 ≮ 7 · _rms. Eh khrfh 8 h`sjr`i ?7 l_HP kjn op htrhshbj = 7.49, eh khrfh 0 h`sjr`i 37 lV y 97 l_HP hbiehnthbh y eh khrfh ; h`sjr`i 877 lV kjn op = 8. h) Dheei eh cmpibhnkch iqucvheinti. `) Khekuei ie ohktjr bi pjtinkch bi eh kjm`cnhkcûn in phrheiej. k) Bitirmcni eh kjrrcinti sumcncstrhbh pjr eh ouinti.

[i prjkibi h riheczhr eh sjeukcûn in khbh unh bi ehs khrfhs bie scstimh, in eh ocfurh 0 pjbimjs j`sirvhr kûmj njs quibhríh ie kcrkuctj.

Ocfurh 0. Iairkckcj 88.68.

Whrh eh Khrfh 81 ∐8

δ =kjs thn

( 7.49)= ;8.64 ·

X  W

( δ )=  ← W =

 X thn

[8= 3?.42 + A ?7 l_H l_H Whrh eh Khrfh 01

[0= 3 7∐ A 9 7 l_H l_H Whrh eh Khrfh ;1

[;=877 l_H l_H

(δ)

=

 

?7 l 

(

thn ;8.64 ·

)

=3?.42 lV 

 

Wrjkibimjs h khekuehr eh pjtinkch kjmpeiah tjthe bie scstimh

[R = [8 + [ 0 + [ ; [R =( 3?.42 + 37 + 877 ) + A ( ?7∐97 ) l_H l_H [R =04?.42 + A 87 l_H l_H =046.78 ≮ 0 ·l_H 0

0

0

º rms rms [= _  º   ← Q  = _    =   ( 807) =7.797 ≮∐0 · Σ [ 046.78 ≮ 0 · l  Q 

Q =7.797 ≮ 0 · Σ =7.797 + A 7.77862 Σ `)

Khekuei ie ohktjr bi pjtinkch bi eh kjm`cnhkcûn in phrheiej.

 O  W= kjs( 0 · )=7.33 Htrhshbj k)

Bitirmcni eh kjrrcinti sumcncstrhbh pjr eh ouinti. º

º

[= _ rms∖ C rms ← C rms =

 [ ≮ · l  = 046.78 0 =0 .; .;3 3≮ 0 · l H _ rms 807

 C rms=0.;3 ≮ ∐0 · lH 88.60 Bjs khrfhs kjnikthbhs in phrheiej tjmhn un tjthe bi 0.2 lV, kjn op htrhshbj bi 7.4, bi unh eínih h 807 _ rms y ?7 Dz. Ynh bi ehs khrfhs h`sjr`i 8.9 lV kjn op htrhshbj bi 7.676. Bitirmcni1 h) ie op bi eh sifunbh khrfh. `) ie ieimintj in phrheiej riquircbj phrh kjrrifcr ie op bi ehs bjs khrfhs y kjnvirtcrej in htrhshbj bi 7.3. ∐8

 O  W R =7.4 Htrhshbj ←δ R = kjs ( 7.4)= ;?.46 ·